Statistical Inference

Problem 701

A historian finds marriage records from 1800-1820. Answer these: a) Descriptive summary? b) Inference? c) Population? d) Is 26.1 a statistic or parameter?

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Problem 702

Are the populations the same if two different samples of 10 students support single sex classrooms? A. No, B. Yes, C. Yes, D. No.

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Problem 703

Two students sample 10 each to find support for single sex classrooms. Answer parts a and b about their populations.

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Problem 704

A historian finds marriage records (1800-1820) showing an average age of 26.1 years. Answer the following: a. What is the descriptive summary? b. What is the inference about the population? c. What population does this refer to? d. Is 26.1 a statistic or a parameter?

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Problem 705

Is the $31\%$ response from the poll a statistic or a parameter regarding voter opinions on immigration?

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Problem 706

|The following bivariate data set contains an outlier. \begin{tabular}{|r|r|} \hline \multicolumn{1}{|c|}{ $x$ } & \multicolumn{1}{c|}{ $y$ } \\ \hline 17.7 & 345.8 \\ \hline 23.1 & -180.9 \\ \hline 31 & -615.6 \\ \hline-7.7 & 164.1 \\ \hline 47.6 & 304.4 \\ \hline 11.2 & 106 \\ \hline 22.1 & -362.4 \\ \hline 1.7 & -100.7 \\ \hline 32.9 & -296.7 \\ \hline 52.9 & 307.9 \\ \hline 37.8 & -902.3 \\ \hline 22.9 & -530.8 \\ \hline 48.6 & 420 \\ \hline 48.7 & -75.1 \\ \hline 234.7 & 4386.9 \\ \hline \end{tabular}
What is the correlation coefficient with the outlier? $r_{w}=$ $\square$ [Round your answer to three decimal places.]
What is the correlation coefficient without the outlier? $r_{w o}=$ $\square$ [Round your answer to three decimal plades.]
Would inclusion of the outlier change the evidence for or against a linear correlation? Yes. Including the outlier changes the evidence regarding a linear correlation. No. Including the outlier does not change the evidence regarding a linear correlation.

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Problem 707

A research study was conducted about gender differences in "sexting." The researcher belleved that the proportion of girls involved in "sexting" is less than the proportion of boys involved. The data collected in the spring of 2010 among a random sample of middle and high school students in a large school district in the southern United States is out of 2231 males, 183 particpated in sexting. Out of 2169, 156 particpated. Is the proportion of girls sending sexts less than the proportion of boys "sexting?" Test at a 1\% level of significance. a) If we use $B$ to denote the boys and $G$ to denote the girls, identify the correct alternative hypothesis. $H_{1}: p_{B} \neq p_{G}$ $H_{1}: p_{B}<p_{G}$ $H_{1}: p_{B}>p_{G}$ b) Determine the test statistic. Round to two decimals. $z=\cdot \square$ c) Find the phalue and round to 4 decimals. $p=$ $\square$ d) Make a decision. Reject the null hypothesis Fail to reject the null hypothesis e) Write the conclusion. There is sufficient evidence to support the claim that the proportion of girls who sext is less than boys. There is not sufficient evidence to support the claim that the proportion of girls who sext is less than boys.

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Problem 708

point(S) possible
A certain drug is used to treat asthma. In a clinical trial of the drug, 25 of 297 treated subjects experienced headaches (based on data from the manufacturer). The accompanying calculator display shows results from a test of the claim that less than $10 \%$ of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.05 significance level to complete parts (a) through (e) below. $\begin{array}{|c|} \hline \text { 1-Prop2Test } \\ \text { prop }<0.1 \\ z=-0.909072203 \\ p=0.1816560071 \\ \hat{p}=0.0841750842 \\ n=297 \end{array}$ a. Is the test two-tailed, left-tailed, or right-tailed? Left-tailed test Right tailed test Two-tailed test b. What is the test statistic? $\mathrm{z}=$ $\square$ (Round to two decimal places as needed.)

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Problem 709

PYC ALEKS A ALEKs - Keyah Jackson - Learn FSC Grades for Keyah Jackson: Fall-2248-ISM401 Confidence Intervals and Hypothesis Testing Introduction to the chi-square distribution
A chi-square distribution with 8 degrees of freedom is graphed below. The region under the curve to the right of 6 is shaded.
Find the area of the shaded region. Round your answer to three decimal places. $\square$ Explanation Check

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Problem 710

Question 4 1 pts
According to a 2017 AAA survey, 35\% of Americans planned to take a family vacation-defined as a trip more than 50 miles from home involving two or more immediate family members. Assume this represents all Americans. Now, suppose a recent survey of 300 Americans found that 123 planned to take a family vacation. To compute an empirical p-value, the first step is to sample without replacement from the survey data. to sample with replacement from the survey data. to sample from a binomial distribution with $\mathrm{n}=300$ and $\mathrm{p}=0.35$ . to sample from a binomial distribution with $\mathrm{n}=300$ and $\mathrm{p}=0.5$ .

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Problem 711

9:53PM Wed Nov 27 34\% webassign.net
Application Exercise: Interests, attitudes, and beliefs are important in interpersonal attraction. To investigate, a counseling psychologist develops a questionnaire that measures progressive attitudes, and has married couples take the questionnaire. The psychologist is certain that progressive attitudes are related between couples. The couple's attitude data are below. What can be concluded with an $\alpha$ of 0.05 ? \begin{tabular}{|c|c|} \hline husband & wife \\ \hline 6 & 12 \\ 10 & 7 \\ 14 & 3 \\ 12 & 5 \\ 9 & 9 \\ 8 & 11 \\ 9 & 6 \\ 10 & 4 \\ 11 & 2 \\ 8 & 17 \\ 7 & 13 \\ \hline \end{tabular} a) Select and compute the appropriate statistic.
Correlation $\square$ b) Obtain/compute the appropriate values to make a decision about $H_{0}$ .
Critical Value $\square$ Test Statistic $=$ $\square$ Decision: --Sel Enter a number. c) Compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or select "na" below. Effect Size = $\square$ ; Magnitude: ---Select--- d) Make an interpretation based on the results. There is a significant positive relationship between a husband and wife progressive attitudes. There is a significant negative relationship between a husband and wife progressive attitudes. There is no significant relationshin between a husband and wife proaressive attitudes. Submit Answer Viewing Saved Work Revert to Last Response. The I'm

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Problem 712

Listed in the accompanying table are waiting times (seconds) of observed cars at a Delaware inspection station. The data from two waiting lines are real observations, and the data from the single waiting line are modeled from those real observations. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b).
Click the icon to view the waiting times. are the null and alternative hypotheses? A. $H_{0}: \mu_{1}<\mu_{2}$ $H_{1}: \mu_{1}=\mu_{2}$ C. $H_{0}: \mu_{1}=\mu_{2}$ $H_{1}: \mu_{1} \neq \mu_{2}$
Calculate the test statistic. $\mathrm{t}=\square$ (Round to two decimal places as need Waiting Times \begin{tabular}{|cc|cc|} \hline \multicolumn{2}{c|}{ One Line } & \multicolumn{2}{c|}{ Two Lines } \\ \hline 63.5 & 734.1 & 64.2 & 864.6 \\ 156.5 & 606.2 & 215.8 & 1089.7 \\ 141.8 & 268.4 & 85.7 & 662.6 \\ 278.9 & 310.2 & 339.8 & 517.8 \\ 252.5 & 128.6 & 199.7 & 565.9 \\ 476.1 & 132.7 & 629.5 & 268.1 \\ 477.6 & 121.7 & 332.6 & 349.7 \\ 473.6 & 128.7 & 328.6 & 94.6 \\ 401.5 & 233.1 & 914.7 & 99.9 \\ 722.3 & 460.9 & 553.3 & 162.8 \\ 760.7 & 482.1 & 596.8 & 100.5 \\ 691.9 & 518.1 & & \\ 837.2 & 508.9 & & \\ 902.7 & 579.6 & & \\ & & & \\ \hline \end{tabular}

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Problem 713

RO ALEKS A ALEKS - Keyan a nurse manager at a local hospital, wanted to know more about the hospital's full-time nurses. She polled 20 nurses at random who work full-time at the 5 of them are married. Elsa didn't know that the top hospital administrators had already surveyed all nurses who work full-time at the hospital. In that vey, it was found that the nurses take, on average, 7.2 sick days per year, that $59 \%$ of them would prefer a four-day work schedule, and that 72 of them are irried. (a) For Elsa's poll, identify the population and the sample.
Population: (Choose one) $\square$ Sample: (Choose one) $\square$ (b) Choose whether each number described below is a parameter or a statistic for Elsa's poll. \begin{tabular}{|l|l|l|l|} \hline Number & Parameter & Statistic \\ \hline The $65 \%$ of the randomly chosen nurses who prefer a four-day work schedule & & \\ \hline The average of 7.2 sick days per year taken among all the full-time nurses at the hospital & & \\ \hline The 72 nurses who are married among all the full-time nurses at the hospital & & \\ \hline \end{tabular}

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Problem 714

The table lists the average tuition and fees at private colleges and universities for selected years. \begin{tabular}{|c|c|c|c|c|c|} \hline Year & 1985 & 1990 & 1995 & 2000 & 2008 \\ \hline \begin{tabular}{c} Tuition and \\ Fees \\ (in dollars) \end{tabular} & 5328 & 9369 & 12,336 & 16,154 & 25,111 \\ \hline \end{tabular} (a) Find the equation of the least-squares regression line that models the data. $y \approx$ $\square$ (Type the slope as a decimal rounded to three decimal places. Round the $y$ -intercept to the nearest integer.)

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Problem 715

The table lists the average tuition and fees at private colleges and universities for selected years. \begin{tabular}{|c|c|c|c|c|c|} \hline Year & 1985 & 1990 & 1995 & 2000 & 2008 \\ \hline \begin{tabular}{c} Tuition and \\ Fees \\ (in dollars) \end{tabular} & 5360 & 9309 & 12,339 & 16,183 & 25,117 \\ \hline \end{tabular} (a) Find the equation of the least-squares regression line that models the data. $\mathrm{y} \approx \square$ (Type the slope as a decimal rounded to three decimal places. Round the $y$ -intercept to the nearest integer.)

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Problem 716

The table lists the average monthly cost to workers for family health insurance for various years. a) Use a graphing calculator to fit a regression line to the data. b) Predict the average monthly cost to workers for family health insurance in 2016, and compare the value with $\$ 422.02$ , which is obtained using the points $(1,334)$ and $(4,378)$ . c) Find the correlation coefficient for the regression line, and determine whether the line fits the data closely. \begin{tabular}{|c|c|} \hline Year, $\mathbf{x}$ & \begin{tabular}{c} Average Monthly Cost to Workers for Family \\ Health Insurance \end{tabular} \\ \hline 2009,0 & $\$ 292$ \\ \hline 2010,1 & 334 \\ \hline 2011,2 & 345 \\ \hline 2012,3 & 358 \\ \hline 2013,4 & 378 \\ \hline 2014,5 & 401 \\ \hline \end{tabular} a) The linear equation of the regression line that best models the data is $y=$ $\square$ $x+$ $\square$ (Round to the nearest hundredth as needed.)

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Problem 717

The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 64.4 for a sample of size 26 and standard deviation 19.4. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a $95 \%$ confidence level). Assume the data is from a normally distributed population. Enter your answer as a tri-linear inequality accurate to three decimal places. $\square$ $<\mu<$ $\square$

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Problem 718

Assume that a sample is used to estimate a population mean $\mu$ . Find the $80 \%$ confidence interval for a sample of size 41 with a mean of 38.5 and a standard deviation of 18.5. Enter your answer as an openinterval (i.e., parentheses) accurate to 3 decimal places.
80\% C.I. = $\square$ The answer should be obtained without any preliminary rounding.

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Problem 719

Suppose the average US salary is $\$ 41,000$ . If a sample of 50 people are randomly surveyed then there is a $95 \%$ chance that the $95 \%$ confidence interval for the mean US salary will have a lower bound less than 41,000 and an upper bound greater than $41,000$ . True False

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Problem 720

A political candidate has asked you to conduct a poll to determine what percentage of people support her. From a random sample of 500, 324 said they would support the candidate. A $95 \%$ confidence interval is constructed. a) In words, define the random variable $X$ $X$ is the proportion of people from the sample who support the candidate $X$ is the number of people from the sample who support the candidate $X$ is the number of people from the population who support the candidate b) In words, define the random variable $\hat{P}$ $\hat{P}$ is the proportion of people from the population who support the candidate $\hat{P}$ is the proportion of people from the sample who support the candidate $\hat{P}$ is the number of people from the sample who support the candidate

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Problem 721

At distribution with 7 degrees of freedom is graphed below. The region under the curve to the right of $t_{0.9}$ is shaded. The area of this region is 0.9
Find the value of $t_{0.9}$ . Round your answer to three decimal places. $t_{0.9}=$ $\square$

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Problem 722

Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need for your $90 \%$ confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". \begin{tabular}{|l|l|} \hline \begin{tabular}{l} Sample size: \\ $\square$ \end{tabular} & \\ \hline \begin{tabular}{l} Point estimate: \\ $\square$ \end{tabular} & \\ \hline \begin{tabular}{l} Sample standard deviation: \\ $\square$ \end{tabular} & \\ \hline \begin{tabular}{l} Critical value: \\ $\square$ \end{tabular} & \multicolumn{1}{|c|}{ Margin of error: } \\ \hline Compute & \\ \hline \end{tabular} Save For Later Submit Assi Check

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Problem 723

The number of seconds $X$ after the minute that class ends is uniformly distributed between 0 and 60 . Round all answers to 4 decimal places where possible. a. What is the distribution of $X$ ? $X \sim U($ , $\square$ ) then the sampling distribution is b. Suppose that 38 classes are clocked. What is the distribution of $\bar{x}$ for this group of classes? $\bar{x} \sim N($ $\square$ $\square$ c. What is the probability that the average of 38 classes will end with the second hand between 27 and 31 seconds? $\square$

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Problem 724

A simple random sample from a population with a normal distribution of 102 body temperatures has $\bar{x}=98.70^{\circ} \mathrm{F}$ and $\mathrm{s}=0.69^{\circ} \mathrm{F}$ . Construct an $80 \%$ confidence interval estimate of the standard deviation of body temperature of all healthy humans.
Click the icon to view the table of Chi-Square critical values.

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Problem 725

2.
The mean June midday temperature in Desertville is $36^{\circ} \mathrm{C}$ and the standard deviation is $3^{\circ} \mathrm{C}$
Assuming this data is normally distributed, how many days in June would you expect the midday temperature to be between $39^{\circ} \mathrm{C}$ and $42^{\circ} \mathrm{C}$ ?
What temperature can you expect in 10\% warmest days in June?

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Problem 726

TASK 2 (a) Explain the meaning of each of the following statistical terms: (i) Level of measurement (02) (ii) Level of significance (102) (b) The following data relate to the number of vehicles owned and road deaths for the populations of 12 countries. (i) Compute Spearman's rank correlation coefficient. (17)
100000 population [D4] (ii) Interpret the result from question b(i) above.

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Problem 727

In which of the scenarios below would it be appropriate to use a One-way Analysis of Variance (ANOVA) method to determine whether or not there is a statistical difference among the groups?
Select all that apply.
Select all that apply: You want to conduct a hypothesis test to determine if the average time a person sleeps is different from 8 hours. You want to conduct a hypothesis test to determine if the average exam scores of a professor's morning, afternoon, and evening classes for one course are different. You want to conduct a hypothesis test to determine if the average commute time to work is different in Boston, versus New York City, versus Los Angeles, versus Miami. You want to conduct a hypothesis test to determine if people spend less than $\$ 150$ a week on food.

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Problem 728

The number of square feet per house have an unknown distribution with mean 1670 and standard deviation 140 square feet. A sample, with size $n=48$ , is randomly drawn from the population and the values are added together. Using the Central Limit Theorem for Sums, what is the mean for the sample sum distribution?
Provide your answer below: $\square$ square feet

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Problem 729

QUESTION 11 - 1 POINT Will, an art student, randomly sampled oil paintings in a museum. He wanted to find out how many oil paintings in the museum contained the color ultramarine blue. The proportion of paintings that were created using the color ultramarine blue was 0.17 , with a margin of error of 0.02 .
Construct a confidence interval for the proportion of oil paintings that contained ultramarine blue.
Provide your answer below: $\square$ , $\square)$

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Problem 730

The scatterplot of the data is below. Describe the type of correlation between GDP and $\mathrm{CO}_{2}$ emissions. negative no correlation positive
Question 2 2 pts
The correlation between GDP and carbon dioxide emissions is $\mathrm{r}=0.912$ . Is the correlation significant at $\alpha=, 05$ ?
Give the critical value from the table: $\square$ Is the correlation significant? (yes or no) $\square$

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Problem 731

ÜbungenfürsAbitur: Binomiatverteitungen
Eine Firma stellt Masken in Massenproduktion her. Jede Maske Ist mit einer Wahrscheinlichkeit von $8 \%$ fehlerhaft. Pro Tag werden 50.000 Masken produzlert. Es wird angenommen, dass die Anzahl der fehlerhaften Masken binomialverteilt sel. a. Mit wie vielen fehlerhaften Masken muss man pro Tag rechnen? b. Berechnen Sle die Wahrscheinlichkeit, dass pro Tag
1. höchstens 4200 fehlerhaft sind. II. genau 4000 fehlerhaft sind. III. zwischen 2000 und 4000 Masken fehlerhaft sind. c. Berechnen Sle, wie hoch die Wahrscheinlichkeit ist, dass die Anzahl der fehlerhaften Masken um höchstens elne Standardabweichung vom Erwartungswert abwelcht? d. Wie viele Masken muss man mindestens untersuchen, um mit einer Wahrscheinlichkeit von mindestens 96 Prozent mindestens eine fehlerhafte Maske zu finden? e. Wie viele Masken muss man mindestens untersuchen, um mit einer Wahrscheinlichkeit von mindestens 96 Prozent mindestens zwel fehlerhafte Masken zu finden? f. Ein potentieller Kảufer misstraut den Angaben des Herstellers und befürchtet, dass mehr als $8 \%$ der Masken fehlerhaft sind. Er erhált daher eine Probe von 500 Masken. Bei der Prüfung der Masken sind 50 fehlerhaft. Beurteilen Sie mithilfe der 2a-Regel, ob das Misstrauen berechtigt ist. g. Die Firma verspricht der Produktionsleiterin einen Bonus, wenn sle die Rate auf $6 \%$ senkt. Nach Abschluss der Verbesserungsmaßnahmen wird der Produktion eine Stichprobe von 400 Masken entnommen. Wenn sich darunter höchstens 25 fehlerhafte Masken befinden, wird der Bonus gewährt.
1. Mit welcher Wahrscheinlichkeit erhält die Produktionsleiterin den Bonus, obwohl sich die Fehlerrate nicht verbessert hat? ii. Mit welcher Wahrscheinlichkeit erhält sie keinen Bonus, obwohl der Anteil der fehlerhaften Masken auf $6 \%$ gesunken ist? h. Eine Apotheke erhält 48 Masken. Sie nimmt aber 50 Bestellungen entgegen, weil aus Erfahrung 10\% der Bestellungen storniert werden.
1. Mit welcher Wahrscheinlichkeit wurden zu viele Buchungen angenommen? ii. Mit welcher Wahrscheinlichkeit war sogar mehr als eine Maske übrig?

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Problem 732

Listed below are the numbers of cricket chips in 1 minute and the corresponding temperatures in ${ }^{\circ} \mathrm{F}$ . Construct a scatterplot, and find the value of the linear correlation coefficient r . Is there sufficient evidence to conclude that there is a linear correlation between the number of chirps in 1 minute and the temperature? Use a significance level of $\alpha=0.05$ . \begin{tabular}{|l|c|c|c|c|c|c|c|c|} \hline Chirps in 1 min & 889 & 1172 & 1092 & 857 & 1207 & 1027 & 958 & 919 \\ \hline Temperature ('F) & 71 & 92.2 & 83.6 & 75.1 & 87.8 & 81.3 & 71.1 & 79.4 \\ \hline \end{tabular}
Construct a scatterplot. Choose the correct graph below. A. B.
Chirps in 1 min c. D.
Chips in 1 min

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Problem 733

\text{Listed in the accompanying table are weights (lb) of samples of the contents of cans of regular Coke and Diet Coke. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Complete parts (a) to (c).} \\
\text{a. Use a 0.01 significance level to test the claim that the contents of cans of regular Coke have weights with a mean that is greater than the mean for Diet Coke.} \\
\text{What are the null and alternative hypotheses? Assume that population 1 consists of regular Coke and population 2 consists of Diet Coke.} \\
\begin{itemize} \item \text{A. } H_{0}: \mu_{1} \leq \mu_{2} \quad H_{1}: \mu_{1}>\mu_{2} \item \text{B. } H_{0}: \mu_{1} \neq \mu_{2} \quad H_{1}: \mu_{1}>\mu_{2} \item \text{C. } H_{0}: \mu_{1}=\mu_{2} \item \text{D. } H_{0}: \mu_{1}=\mu_{2} \quad H_{1}: \mu_{1}>\mu_{2} \end{itemize}
\text{The test statistic is } \square \text{ (Round to two decimal places as needed.)} \\
\text{The P-value is } \square \text{ (Round to three decimal places as needed.)} \\
\text{State the conclusion for the test.} \\
\begin{itemize} \item \text{A. Reject the null hypothesis. There is not sufficient evidence to support the claim that cans of regular Coke have weights with a mean that is greater than the mean for Diet Coke.} \item \text{B. Reject the null hypothesis. There is sufficient evidence to support the claim that cans of regular Coke have weights with a mean that is greater than the mean for Diet Coke.} \item \text{C. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that cans of regular Coke have weights with a mean that is greater than the mean for Diet Coke.} \item \text{D. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that cans of regular Coke have weights with a mean that} \end{itemize}
\begin{tabular}{|c|c|c|} \hline & \text{Regular Coke} & \text{Diet Coke} \\ \hline 1 & 0.81922 & 0.77732 \\ \hline 2 & 0.81502 & 0.77583 \\ \hline 3 & 0.81528 & 0.78963 \\ \hline 4 & 0.8211 & 0.78681 \\ \hline 5 & 0.8181 & 0.78436 \\ \hline 6 & 0.82472 & 0.7861 \\ \hline 7 & 0.80618 & 0.78062 \\ \hline 8 & 0.81235 & 0.78302 \\ \hline 9 & 0.81715 & 0.78319 \\ \hline 10 & 0.80936 & 0.7863 \\ \hline 11 & 0.83103 & 0.78013 \\ \hline 12 & 0.83103 & \\ \hline \end{tabular}

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Problem 734

Question 1 of 9 (1 point) I Question Attempt: 1 of 1
In anticipation of an upcoming election, officials in Rising Falls County are looking at the distance from each voter's home to that voter's nearest polling station. Assume that the population of all such distances for voters in Rising Falls County is approximately normally distributed. An article for the newspaper Keeping It Political daimed that the mean of this population is 2.15 km . You want to test this claim, so you select a random sample of 16 Rising Falls County voters, and for each you record the distance the voter lives from their nearest polling station. Follow the steps below to construct a $99 \%$ confidence interval for the population mean of all the distances voters in Rising Falls County live from their nearest polling station. Then state whether the confidence interval you construct contradicts the reporter's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Español \begin{tabular}{|c|c|c|} \hline Number of people & Sample mean & \begin{tabular}{c} Sample standard \\ deviation \end{tabular} \\ \hline 16 & 4.867 & 2.324 \\ \hline \end{tabular}
Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need for your $99 \%$ confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". \begin{tabular}{|l|} \hline Sample size: \\ $\square$ \\ \hline Point estimate: \\ $\square$ \\ \hline Sample standard deviation: \\ $\square$ \\ \hline Critical value: \\ $\square$ \\ \hline \\ \hline \end{tabular}
Standard error:
Margin of error: \begin{tabular}{|c|} \hline Critical values \\ \hline $t_{0.005}=2.947$ \\ \hline $t_{0.010}=2.602$ \\ \hline $t_{0.025}=2.131$ \\ \hline $t_{0.050}=1.753$ \\ \hline \end{tabular} Submit Assignment Continue 02024 MaGraw HIILC. Al Rights Reserwed. Terms of Use / Privagy Center I Accessitility

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Problem 735

6. The average resting heart rate is $\mathbf{6 8}$ beats per minute with a standard deviation of $\mathbf{4 . 3}$ . The top $\mathbf{1 5 \%}$ of the population is at an increased risk of heart attack. What is the heart rate (in beats per minute) that would put a person at Thicreased risk? $\qquad$
7. The mean score on physics test is 58 and the standard deviation is 6 . The top $10 \%$ of students in the class receive an $A$ . What score would a student need to get on the test to receive an $A$ ?
8. A survey conducted at Bishop McNally of randomly selected students determined that $71 \%$ of the students dislike homework. The results have a margin of error within $\pm 3.4 \%$ . This data is accurate 45 times out of 50 . a) Determine the confidence interval for this data. $\qquad$ . dor. Z †० ( 0 ) noitsivgb $\qquad$ b) If there are 1350 students at this school, state the interval of the number of students that dislike homework. c) What is the confidence level as a percent?
9. In an Oreo factory, the mean mass of a cookie is 40 grams. To ensure quality control, the standard deviation is 2 grams. $\qquad$ bาsbாสc Ђ๑iduट $\qquad$ a) What percentage of cookies weigh less than $\mathbf{3 6}$ b) What percentage of cookies weigh more than grams? 44 grams?
ท.jeimerd 58 zalbute lıizoa c) Cookies are rejected if they weigh less than 36 grams or more than $\mathbf{4 4}$ grams. How many cookies would you expect to reject in a sample of 10,000 cookies?

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Problem 736

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 444 gram setting. Is there sufficient evidence at the 0.01 level that the bags are underfilled? Assume the population is normally distributed.
State the null and alternative hypotheses for the above scenario. Answer Tables Keypad Keyboard Shortcuts $\begin{array}{l} H_{0}: \square \\ H_{a}: \square \end{array}$

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Problem 737

Compute the correlation coefficient. \begin{tabular}{l|lllll} $x$ & 2 & 5 & 4 & 1 & 6 \\ \hline $y$ & 3 & 6 & 1 & 2 & 4 \end{tabular}
Send data to Excel
The correlation coefficient is $\square$ . Round the answers to three decimal places.

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Problem 738

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 417 gram setting. Is there sufficient evidence at the 0.05 level that the bags are underfilled or overfilled? Assume the population is normally distributed.
State the null and alternative hypotheses for the above scenario.
Answer Tables Keypad Keyboard Shortcuts $\begin{array}{l} H_{0}: \square \\ H_{a}: \square \end{array}$

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Problem 739

Determine the percent of data to the left of the $z$ -score: $z=1.44$ . 92.51\% 94.95\% 93.82\% 95.91\%

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Problem 740

There is a popular lottery in which a ticket is called a scratcher. An advertisement for this lottery claims that $55 \%$ of the population of all the scratchers are winning ones. You want to research this claim by selecting a random sample of 35 scratchers.
Follow the steps below to construct a $90 \%$ confidence interval for the population proportion of all winning scratchers. Then state whether the confidence interval you construct contradicts the advertisement's claim. (If necessary, consult a $\underline{l i s t}$ of formulas.) (a) Click on "Take Sample" to see the results from the random sample. \begin{tabular}{|c|c|c|c|} \cline { 3 - 4 } & & Number & Proportion \\ \hline Take Sample & Winning scratcher & 14 & 0.4 \\ \hline Losing scratcher & 21 & 0.6 \\ \hline \end{tabular}
Enter the values of the sample size, the point estimate of the population proportion, and the critical value you need for your $90 \%$ confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute".
Sample size: $\square$ Standard error:
Point estimate: $\square$ Margin of error: Critical values $z_{0.005}=2.576$ $z_{0.010}=2.326$ Critical value: $z_{0.025}=1.960$

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Problem 741

ALExS Math - 24FA-MAT152-B208: Statistica ALEKS - Mayasoleil Narcisse - Module 12 Quiz Sec. 8.1-8.3 Module 12 Quiz Sec. 81.3 .3 Question 8 of 9 (1 point) I Question Attempt: 1 of 1 Mayaso
A cell phone manufacturer tests the battery lifetimes of its cell phones by recording the time it takes for the battery charges to run out while testers are playing games on the phones continuously. The manufacturer claims that the population mean of the battery lifetimes of all phones of their latest model is 7.28 hours. As a researcher for a consumer information service, you want to test that claim. To do so, you select a random sample of 45 cell phones of the manufacturer's latest model and record their battery lifetimes. Assume it is known that the population standard deviation of the battery lifetimes for that cell phone model is 2.73 hours.
Based on your sample, follow the steps below to construct a $99 \%$ confidence interval for the population mean of the battery lifetimes for all phones of the manufacturer's latest model. Then state whether the confidence interval you construct contradicts the manufacturer's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from your random sample of 45 phones of the manufacturer's latest model.
Take Sample \begin{tabular}{|c|c|c|} \hline \begin{tabular}{c} Number of phones \\ Numple mean \end{tabular} & \begin{tabular}{c} Sample standard \\ deviation \end{tabular} \\ \hline 45 & 5.85 & 2.31 \\ \hline \end{tabular} \begin{tabular}{|c|} \hline \begin{tabular}{c} Population standard \\ deviation \end{tabular} \\ \hline 2.73 \\ \hline \end{tabular}
Enter the values of the sample size, the point estimate for the population mean, the population standard deviation, and the critical value you need for your $99 \%$ confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". \begin{tabular}{|l|l|l|} \hline Sample size: \\ \hline \end{tabular} Continue Submit Assignment O 2024 McGraw Hill LLC. All Rights Reserved. Torms of Use Privasy Center Accessibility

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Problem 742

$=1$ 2 4 5 6 7 8 9
A $t$ distribution with 4 degrees of freedom is graphed below. The region under the curve to the right of $t_{0.8}$ is shaded. The area of this region is 0.8 .
Find the value of $t_{0.8}$ . Round your answer to three decimal places. $t_{0.8}=$ $\square$

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Problem 743

The scores for 20 students on a 50 -point math test are $49,50,37,44,27,47,43,35,41,31,42,40,38,45,39,33,46,36,32$ , and 48 .
Part: $0 / 3$
Part 1 of 3 (a) Find the percentile rank for a score of 31.
A test score of 31 is equivalent to the $\square$ th(st/nd/rd) percentile.

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Problem 744

Question 7 of 9 (1 point) I Question Attempt 1 of Unlimited Following are the ort measurements and actual weights of the 10 largest pumpkins entered into official competitions in a recent year. \begin{tabular}{cc} \hline OTT (inches) & weight (pounds) \\ \hline 469.0 & 2469.0 \\ 455.0 & 2283.0 \\ 477.0 & 2157.5 \\ 480.0 & 2416.5 \\ 490.0 & 2433.9 \\ 452.0 & 2136.0 \\ 456.0 & 2091.0 \\ 462.0 & 2070.1 \\ 456.0 & 2077.0 \\ 490.0 & 2528.0 \\ \hline \end{tabular} Send data to Excel
Part: $0 / 4$ $\square$
Part 1 of 4 (a) Compute the least-squares regression line for predicting weight $(y)$ from OTT $(x)$ . Round the slope and $y$ -intercept to four decimal places as needed.
The equation for the least squares regression line is $\hat{y}=$ $\square$ .

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Problem 745

A historian finds marriage records from $1800-1820$ showing an average age of 26.7. Answer these questions about the data.

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Problem 746

A historian estimates the average age at marriage of men (1800-1820): average age is 26.7 years, range is 25.8-27.6 years.
a. What summarizes the data? b. What infers about the population? c. What population is referred to? d. Is 26.7 a statistic or parameter?

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Problem 747

Is $55\%$ of seniors owning a vehicle a statistic or a parameter? Choose the correct explanation.

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Problem 748

Calculate the correlation coefficient $r$ , find the regression line, and predict the 5K time for $\mathrm{VO}_{2} \mathrm{max} = 24.79$ .

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Problem 749

Determine if the following values are parameters or statistics: a. 66% of MAT 120 students passed. b. Mean height of 228 males is 69.5 inches. c. 16% of a Stats class are freshmen. d. Mean daily Snapchat usage is 68 minutes.

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Problem 750

Vegetarians: In a recent poll of 1046 adults in the United States, 47 said they were vegetarians.
Part: $0 / 3$
Part 1 of 3 (a) Construct a $99 \%$ confidence interval for the proportion of adults in the United States who are vegetarians. (Round the answers to three decimal places.)
A $99 \%$ confidence interval for the proportion of adults in the United States who are vegetarians is $\square$ $<p<$ $\square$

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Problem 751

Surgical complications: A medical researcher wants to construct a $99 \%$ confidence interval for the proportion of knee replacement surgeries that result in complications.
Part: $0 / 2$
Part 1 of 2 (a) An article in a medical journal suggested that approximately $7 \%$ of such operations result in complications. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.03 ?
A sample of $\square$ operations is needed to obtain a $99 \%$ confidence interval with a margin of error of 0.03 using the estimate 0.07 for $p$

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Problem 752

Video
Find the equation for the least squares regression line of the data described below.
Stem and Leaf Agriculture wants to add a new compound to its bags of sunflower fertilizer. The company produced several bags containing varying amounts of the compound to see how it would affect sunflower growth.
Next, Stem and Leaf collected data on the amount of the compound added to each bag (in grams), $x$ , and the weekly growth of the sunflowers treated with each bag (in centimeters), $y$ . \begin{tabular}{|c|c|} \hline 4) Amount of compound & D) \\ \hline 11 & 13 \\ \hline 22 & 11 \\ \hline 37 & 34 \\ \hline 77 & 28 \\ \hline 80 & 34 \\ \hline \end{tabular}
Round your answers to the nearest thousandth. $y=$ $\square$ $x+$

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Problem 753

When a correlation is statistically significant, we can claim that the variables are (A) associated (B) from an experiment (C) part of the "third variable problem"
D statistically independent

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Problem 754

\begin{tabular}{|c|c|} \hline \begin{tabular}{c} Theater revenue, \\ $\boldsymbol{x}$ \\ (in millions of \\ dollars) \end{tabular} & \begin{tabular}{c} Rental revenue, $\boldsymbol{y}$ \\ (in millions of \\ dollars) \end{tabular} \\ \hline 14.5 & 2.3 \\ \hline 36.3 & 11.7 \\ \hline 60.2 & 16.6 \\ \hline 44.3 & 5.7 \\ \hline 67.0 & 10.2 \\ \hline 27.8 & 12.8 \\ \hline 25.5 & 8.3 \\ \hline 12.7 & 10.4 \\ \hline 25.5 & 7.3 \\ \hline 7.3 & 2.4 \\ \hline 49.1 & 15.7 \\ \hline 20.8 & 5.3 \\ \hline 61.9 & 9.8 \\ \hline 30.6 & 5.5 \\ \hline 28.2 & 3.1 \\ \hline \end{tabular} Send data to calculator Send data to Excel
The least-squares regression line for these data has a slope of approximately 0.15 . Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. \begin{tabular}{|l|} \hline What is the value of the $y$ -intercept of the least-squares \\ regression line for these data? Round your answer to at least \\ two decimal places. \\ \hline \end{tabular}

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Problem 755

\begin{tabular}{|c|c|} \hline \begin{tabular}{c} Campaign cost, \\ \begin{tabular}{c} $\boldsymbol{x}$ \\ (in millions of \\ dollars) \end{tabular} \end{tabular} \begin{tabular}{c} Increase in sales, \\ $\boldsymbol{y}$ \\ (percent) \end{tabular} \\ \hline 3.93 & 6.94 \\ \hline 2.08 & 6.78 \\ \hline 3.08 & 6.94 \\ \hline 2.97 & 6.50 \\ \hline 3.36 & 6.55 \\ \hline 1.54 & 6.56 \\ \hline 3.56 & 6.91 \\ \hline 1.35 & 6.41 \\ \hline 1.75 & 6.34 \\ \hline 2.24 & 6.59 \\ \hline 3.80 & 6.78 \\ \hline 2.14 & 6.46 \\ \hline \end{tabular} Send data to calculator Send data to Excel
Figure 1
The value of the sample correlation coefficient $r$ for these data is approximately 0.703 . Answer the following. Carry your intermediate computations to at least four decimal places, and ro \begin{tabular}{|l|l|} \hline \begin{tabular}{l} What is the value of the slope of the least-squares regression \\ line for these data? Round your answer to at least two decimal \\ places. \end{tabular} \\ \hline \begin{tabular}{l} What is the value of the $y$ -intercept of the least-squares \\ regression line for these data? Round your answer to at least \\ two decimal places. \end{tabular} & $\square$ \\ \hline \end{tabular}

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Problem 756

1. Suppose $X_{1}$ is normally distributed with a mean of 4 and a standard deviation of 1 and suppose $X_{2}$ is normally distributed with a mean of 5 and a standard deviation of 2 . (a) Explain why $\bar{X}_{1}-\bar{X}_{2}$ is normally distributed, even though both $n_{1}$ and $n_{2}$ are small. (2 marks)

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Problem 757

60 households in the Highlands neighbourhood of Edmonton were randomly sampled, 30 with garages and 30 without. Here are the summary results of assessed values of the houses. \begin{tabular}{|c|c|c|c|} \hline Garage & Sample size & Sample mean & Sample standard deviation \\ \hline No & 30 & $\$ 227666.70$ & $\$ 164696.80$ \\ \hline Yes & 30 & $\$ 437450.00$ & $\$ 118107.50$ \\ \hline \end{tabular} (a) Test if the mean assessed value is lower among the houses without garages. Perform a full 6 step hypothesis testing procedure, induding stating and discussing assumptions. Use the $5 \%$ significance level. Let $\mu_{1}$ be the mean assessed value of the houses without garages and $\mu_{2}$ be the mean assessed value of the houses with garages, (8 marks)

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Problem 758

3. The dataset GRADESINTROSTATS is a file that contains information from a random sample of 31 students who took Statistics at MacEwan University in a recent term. Your variables of interest are LCMT (lecture midtermgrade) and LCFE (lecture final exam grade). The data are given below; your instructor has calculated a column of differences for you. \begin{tabular}{|c|c|c|c|c|c|} \hline LCMT & LCFE & & \multicolumn{3}{|l|}{LCMT-LCFE} \\ \hline 81.58 & 69.74 & & 11.84 & & \\ \hline 68.42 & 68.42 & & 0 & & \\ \hline 71.05 & 65.79 & & 5.26 & & \\ \hline 60.53 & 60.53 & & 0 & & \\ \hline 65.79 & 68.42 & & -2.63 & & \\ \hline 55.26 & 61.84 & & -6.58 & & \\ \hline 63.16 & 69.74 & & $-6.58$ & & \\ \hline 84.21 & 50.00 & & 34.21 & & \\ \hline 89.47 & 88.16 & & 1.31 & & \\ \hline 81.58 & 73.68 & & 7.9 & & \\ \hline 92.11 & 78.95 & & 13.16 & & \\ \hline 86.84 & 84.21 & & 2.63 & & \\ \hline 97.37 & 81.58 & & 15.79 & & \\ \hline 68.42 & 63.16 & & 5.26 & & \\ \hline 68.42 & 68.42 & & 0 & & \\ \hline 52.63 & 65.79 & & -13.16 & & \\ \hline 63.16 & 60.53 & & 2.63 & & \\ \hline 97.37 & 98.68 & & -1,31 & & \\ \hline 68.42 & 60.53 & & 7.89 & & \\ \hline 78.95 & 84.21 & & -5.26 & & \\ \hline 73.68 & 64.47 & & 9.21 & & \\ \hline 86.84 & 80.26 & & 6.58 & & \\ \hline 52.63 & 56.58 & & -3.95 & & \\ \hline 50.00 & 71.05 & & -21.05 & & \\ \hline 78.95 & 76.32 & & 2.63 & & \\ \hline 44.74 & 68.42 & & -23.68 & & \\ \hline 73.68 & 76.32 & & -2.64 & & \\ \hline 71.05 & 65.79 & & 5.26 & & \\ \hline 71.05 & 57.89 & & 13.16 & & \\ \hline 81.58 & 67.11 & & 14.47 & & \\ \hline 68.42 & 59.21 & & 9.21 & & \\ \hline \end{tabular}
Note: the sample mean $\bar{x}_{d}=2.630968$ and the sample standard deviation $s_{d}=11.05528$ . The student may verify this with R or Excel or an online calculator, if desired, but it is not neoessary: (a) Why are these data best regarded as a paired sample? (2 marks)

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Problem 759

Discuss the statement and tell what possible misuse or misinterpretation may exist. In a study of patients with flu symptoms, each patient was found to have improved symptoms after taking apple cider vinegar. Therefore, apple cider vinegar cures the flu.
Discuss the statement and tell what possible misuse or misinterpretation may exist. Choose the correct answer below. A. The statement is not valid because having improved symptoms does not necessarily translate to the patients being cured of the flu. B. The statement is valid because the patients may have improved on their own without taking apple cider vinegar and having improved symptoms translates to the patients being cured of the flu. C. The statement is valid because each patient had improved symptoms which translates to the patients being cured of the flu. D. The statement is not valid because the patients may have improved on their own without taking apple cider vinegar and having improved symptoms does not necessarily translate to the patients being cured of the flu.

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Problem 760

Conhlence intervals and Hypothesis Testing Hypothesis test for the population mean: Z test using p values 0/5
According to a report done by $S \&$ J Power, the mean lifetime of the light bulbs it manufactures is 42 months. A researcher for a consumer advocate group tests this by selecting 19 bulbs at random. For the bulbs in the sample, the mean lifetime is 36 months. It is known that the population standard deviation of the lifetimes is 9 months. Assume that the population is normally distributed. Can we conclude, at the 0.01 level of significance, that the population mean lifetime, $\mu$ , of light bulbs made by this manufacturer differs from 42 months?
Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis $H_{0}$ and the altemative hypothesis $H_{1}$ . $\begin{array}{l} H_{0}: \square \\ H_{1}: \square \end{array}$ (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) $\square$ (d) Find the $p$ -value. (Round to three or more decimal places.) $\square$ (e) Can we conclude that the population mean lifetime of light butbs made by this manufacturer differs from 42 months? Yes No Explanation Check 92024 Mcerew Hill LLC. All Rights Resened. Terms of Use 1 Pivagy Center

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Problem 761

Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 240 mg and a standard deviation of 46 mg . In a random sample of 300 adults, how many consume at least 320 mg of caffeine daily?
Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table.
Of the 300 adults, approximately $\square$ adults consume at least 320 mg of caffeine daily. (Round to the nearest whole number as needed.)

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Problem 762

When a national sample of heights of kindergarten children was taken, a student was told that she was in the 70 th percentile. Explain what that means.
Choose the correct interpretation below. A. She is taller than 70 kindergarten children. B. She is taller than 70 percent of all kindergarten children. C. She is shorter than 70 percent of all kindergarten children. D. She is taller than 30 percent of all kindergarten children.

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Problem 763

Based on historical data in Oxnard college, we believe that $45 \%$ of freshmen do not visit their counselors regularly. For this year, you would like to obtain a new sample to estimate the proportiton of freshmen who do not visit their counselors regularly. You would like to be $98 \%$ confident that your estimate is within $3.5 \%$ of the true population proportion. How large of a sample size is required? Do not round mid-calculation. $n=$

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Problem 764

Question 18 (1 point) $\checkmark$ Saved
Fit a quadratic curve $y=a x^{2}+b x+c$ that best fits the given data: \begin{tabular}{|l|l|l|l|l|l|} \hline $x$ & 10 & 12 & 15 & 23 & 20 \\ \hline $y$ & 14 & 17 & 23 & 25 & 21 \\ \hline \end{tabular}
For this question, you need to write the Pyithon code and execute it to find the solution $y=6.1 x^{2}+2 x-4.71$ $y=-0.07 x^{2}+3.01 x-8.73$ $y=0.7 x^{2}+4 x+6.73$ $y=-4.71 x^{2}+x+5.5$

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Problem 765

Is it ever ethical to add bias to a statistical study? In a paragraph, why or why not? (4 marks)

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Problem 766

السوال الثاني (15 علامة) اذا علىت أن أوزان مجوعة من الاشخاص تتبع التوزيع الطبيعي، أخذت عينة من 100 شخص وجد أن متوسط اوزانها يساوي 60 كغم وتبالينها يساوي 100. اذتّبر ما اذا كان معل أوزان الاشخاص في هذا المجنَع لا يساوي 60 كغم على مستوى دلالة $. \alpha=0.05$

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Problem 767

On se donne un jeu de données $\left(x_{1}, \ldots, x_{n}\right)$ de réalisations indépendantes d'une même variable aléatoire $X$ . On note $m=\mathbb{E}[X]$ et $\sigma^{2}=\operatorname{Var}(X)$ . Parmis les propositions suivantes, lesquelles permettent de réduire la taille d'un intervalle de confiance : a. Augmenter la moyenne $m$ b. Réduire la taille d'échantillon $n$ c. Réduire la moyenne $m$ d. Réduire le risque $\alpha$ e. Augmenter le risque $\alpha$ f. Augmenter la taille d'échantillon $n$

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Problem 768

Des laborantins mesurent la glycémie dans les échantillons de sang de 44 personnes à jeun. Leur logiciel d'agrégation de données donne $\bar{x}_{n}=0,9 g \cdot L^{-1} \text { et } \hat{\sigma}=0,6 g \cdot L^{-1}$
On rappelle les quantiles de la loi Normale $\mathcal{N}(0,1)$ : $q_{0,90}=1,29, \quad q_{0,95}=1,65, \quad q_{0,975}=1,96, \quad q_{0,995}=2,57$
On note $I C=[a, b]$ l'intervalle de confiance à $90 \%$ pour la valeur de la glycémie dans le sang. Quelle est la valeur de la borne inférieur de l'intervalle $a$ ? On arrondira la réponse avec 3 chiffres après la virgule.
Réponse : $\square$

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Problem 769

Part 1 of 2 Points: 0 of 2
Explain what a P -value is. What is the criterion for rejecting the null hypothesis using the P -value approach?
Explain what a P-value is. Choose the correct answer below. A. A P-value is the probability of observing a sample statistic as extreme or more extreme than the one observed under the assumption that the statement in the null hypothesis is true. B. A P-value is the value used to designate the area $\alpha$ in either the left- or right-tail of the normal curve. C. A P-value is the number of standard deviations that the observed proportion is from the proportion stated in the null hypothesis.

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Problem 770

jothesis Question 4, 7.3.7 HW Score: $33.33 \%, 3$ of 9 Part 1 of 2 points
Points: 0 of 1 Save
Find the critical value(s) and rejection region(s) for the indicated $t$ -test, level of significance $\alpha$ , and sample size $n$ . Two-tailed test, $\alpha=0.02, n=12$ Click the icon to view the $t$ -distribution table.
The critical value(s) is/are 2.178 . (Round to the nearest thousandth as needed. Use a comma to separate answers as needed.)

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Problem 771

0003
Practice Question Which of the following statements is/are true? (I) For each person, left-hand and right-hand gripping strength are dependent. (II) For each person, left-hand and right-hand gripping strength are independent. (III) In order to conduct a matched pairs $t$ test, we must assume that left-hand and right-hand gripping strength are both normally distributed. (IV) In order to conduct a matched pairs $t$ test, we must assume that the differences in left-hand and right-hand gripping strength are normally distributed. (A) II (B) I and III (C) I and IV (D) II and III (E) II and IV

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Problem 772

Here are summary statistics for the weights of Pepsi in randomly selected cans: $n=36$ , $\bar{x}=0.82408 \mathrm{lb}, \mathrm{s}=0.00568 \mathrm{lb}$ . Use a confidence level of $99 \%$ to complete parts (a) through ( d ) below. a. Identify the critical value $\mathrm{t}_{\alpha / 2}$ used for finding the margin of error. $\mathrm{t}_{\alpha / 2}=\square$ (Round to two decimal places as needed.)

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Problem 773

Here are summary statistics for the weights of Pepsi in randomly selected cans: $n=36$ , $\bar{x}=0.82408 \mathrm{lb}, \mathrm{s}=0.00568 \mathrm{lb}$ . Use a confidence level of $99 \%$ to complete parts (a) through (d) below. a. Identify the critical value $t_{\alpha / 2}$ used for finding the margin of error. $t_{\alpha / 2}=2.72$ (Round to two decimal places as needed.) b. Find the margin of error. $E=0.00257 \mathrm{lb}$ (Round to five decimal places as needed.) c. Find the confidence interval estimate of $\mu$ . $\square$ $\mathrm{lb}<\mu<$ $\square$ lb (Round to five decimal places as needed.)

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Problem 774

A data set includes 105 body temperatures of healthy adult humans having a mean of $98.7^{\circ} \mathrm{F}$ and a standard deviation of $0.64^{\circ} \mathrm{F}$ . Construct a $99 \%$ confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of $98.6^{\circ} \mathrm{F}$ as the mean body temperature?
Click here to view a $t$ distribution table. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table.
What is the confidence interval estimate of the population mean $\mu$ ? $\square$ $\square$ ${ }^{\circ} \mathrm{F}<\mu<\square^{\circ} \mathrm{F}$ (Round to three decimal places as needed.) $t$ Distribution: Critical $t$ Values \begin{tabular}{|c|cc|} \hline & 0.005 & 0.01 \\ \hline \begin{tabular}{c} Degrees of \\ Freedom \end{tabular} & 0.01 & 0.02 \\ \hline 1 & 63.657 & 31.821 \\ \hline 2 & 9.925 & 6.965 \\ 3 & 5.841 & 4.541 \\ \hline 4 & 4.604 & 3.747 \\ 5 & 4.032 & 3.365 \\ 6 & 3.707 & 3.143 \\ 7 & 3.499 & 2.998 \\ 8 & 3.355 & 2.896 \\ 9 & 3.250 & 2.821 \\ \hline \end{tabular}

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Problem 775

A data set includes 103 body temperatures of healthy adult humans having a mean of $98.3^{\circ} \mathrm{F}$ and a standard deviation of $0.73^{\circ} \mathrm{F}$ . Construct a $99 \%$ confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of $98.6^{\circ} \mathrm{F}$ as the mean body temperature? Click here to view a t distribution table. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table.
What is the confidence interval estimate of the population mean $\mu$ ? $\square^{\circ} \mathrm{F}<\mu<\square^{\circ} \mathrm{F}$ (Round to three decimal places as needed.) $t$ Distribution: Critical $t$ Values \begin{tabular}{|c|cccc|} \hline & & \multicolumn{3}{c|}{ Area in One Tail } \\ & 0.005 & 0.01 & 0.025 & 0.05 \\ \hline \begin{tabular}{c} Degrees of \\ Freedom \end{tabular} & 0.01 & 0.02 & Area in Two Tails & \\ \hline 1 & 63.657 & 31.821 & 0.05 & 0.10 \\ \hline 2 & 9.925 & 6.965 & 12.706 & 6.314 \\ 3 & 5.841 & 4.541 & 4.303 & 2.920 \\ 4 & 4.604 & 3.747 & 3.182 & 2.353 \\ 5 & 4.032 & 3.365 & 2.776 & 2.132 \\ 6 & 3.707 & 3.143 & 2.571 & 2.015 \\ 7 & 3.499 & 2.998 & 2.447 & 1.943 \\ 8 & 3.355 & 2.896 & 2.365 & 1.895 \\ 9 & 3.250 & 2.821 & 2.306 & 1.860 \\ 10 & 3.169 & 2.764 & 2.262 & 1.833 \\ 11 & 3.106 & 2.718 & 2.228 & 1.812 \\ 12 & 3.055 & 2.681 & 2.201 & 1.796 \\ 13 & 3.012 & 2.650 & 2.179 & 1.782 \\ 14 & 2.977 & 2.624 & 2.160 & 1.771 \\ 15 & 2.947 & 2.602 & 2.145 & 1.761 \\ 16 & 2.921 & 2.583 & 2.131 & 1.753 \\ 17 & 2.898 & 2.567 & 2.120 & 1.746 \\ \hline \end{tabular}

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Problem 776

on list The test statistic of $z=1.45$ is obtained when testing the claim that $p \neq 0.719$ . a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P -value. c. Using a significance level of $\alpha=0.01$ , should we reject $H_{0}$ or should we fail to reject $\mathrm{H}_{0}$ ? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. on 2 $\qquad$ on 3 a. This is a two-tailed test. b. $P$ -value $=$ $\square$ (Round to three decimal places as needed.)
Standard Normal Distribution Table (Page 2)
Standard Normal (z) Distribution: Cumulative Area from the LEFT \begin{tabular}{|c|cccccccc|} \hline $z$ & .00 & .01 & $.0 R$ & .03 & .04 & .05 & .06 & .07 \\ \hline 0.0 & .5000 & .5040 & .5080 & .5120 & .5160 & .5199 & .5239 & .5279 \\ 0.1 & .5398 & .5438 & .5478 & .5517 & .5557 & .5596 & .5636 & .5675 \\ 0.2 & .5793 & .5832 & .5871 & .5910 & .5948 & .5987 & .6026 & .6064 \\ 0.3 & .6179 & .6217 & .6255 & .6293 & .6331 & .6368 & .6406 & .6443 \\ 0.4 & .6564 & .6591 & .6628 & .6684 & .6700 & .6736 & .6772 & .6808 \\ 0.5 & .6975 & .6960 & .6985 & .7019 & .7064 & .7088 & .7123 & .7157 \\ 0.6 & .7257 & .7291 & .7324 & .7357 & .7389 & .7422 & .7454 & .7486 \\ 0.7 & .7580 & .7611 & .7642 & .7673 & .7704 & .7734 & .7764 & .7794 \\ 0.8 & .7881 & .7910 & .7939 & .7967 & .7995 & .8023 & .8051 & .8078 \\ 0.9 & .8159 & .8186 & .8212 & .8238 & .8264 & .8289 & .8315 & .8340 \\ 10 & 8413 & 8438 & .8461 & .8485 & .8508 & .8531 & .8554 & .8577 \\ \hline \end{tabular}

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Problem 777

The accompanying table shows the number of bacteria present in a certain culture over a 5 hour period, where x is the time, in hours, and y is the number of bacterie. Write an exponential regression equation for this set of data, rounding all coefficients to the nearest hundredth. Using this equation, determine the number of bacteria present after 11 hours, to the nearest whole number. \begin{tabular}{|c|c|} \hline Hours $(x)$ & Bacteria $(y)$ \\ \hline 0 & 1800 \\ \hline 1 & 1950 \\ \hline 2 & 2154 \\ \hline 3 & 2424 \\ \hline 4 & 2730 \\ \hline 5 & 3034 \\ \hline \end{tabular} $\square$ Open Statitisis Colculator
Answer Attempt i but of 2
Regression Equation: $\square$ Final Answer: $\square$ Sillamit Answer

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Problem 778

$\text{Part 2 of 4}$ $\text{(b) Compute the correlation coefficient between the height and weight of the quarterbacks. Round the answer to at least three decimal places.}$ $\text{The correlation coefficient is } r = \square$ $\begin{array}{|l|c|c|} \hline \text{Name} & \text{Height (inches)} & \text{Weight (pounds)} \\ \hline \text{Tyler Bray} & 78 & 232 \\ \text{Mike Glennon} & 79 & 225 \\ \text{Marqueis Gray} & 75 & 240 \\ \text{Landry Jones} & 76 & 225 \\ \text{Collin Klein} & 77 & 226 \\ \text{E. J. Manuel} & 77 & 237 \\ \text{Ryan Nassib} & 74 & 227 \\ \text{Sean Renfree} & 75 & 219 \\ \hline \end{array}$

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Problem 779

(ii) Construct a stacked bar graph like the one in part A.(iv), using the data for Quebec's alpine skiers. (Hint: Create a 100\% Stacked Column graph in Excel and ensure the legend is descriptive.)
(iii) After examining the bar graph in part B, (ii), do you believe that finishing place is independent of event for Quebecois alpine skiers? Explain.
(iv) Test at the $5\%$ significance level the claim that finishing place is independent of event. Are certain events more significant than other events? Explain.
(v) Using your results from the bar graph and hypothesis test, describe the performance of Quebec's alpine skiers in national competitions. Describe to the Quebecois coach how these results can help inform their training decisions.

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Problem 780

\begin{enumerate} \item[(iii)] After examining the bar graph in part B. (ii), do you believe that finishing place is independent of event for Quebecois alpine skiers? Explain. \item[(iv)] Test at the $5\%$ significance level the claim that finishing place is independent of event. (Hint: Use the test of independence.) Do Quebecois alpine skiers appear to be better at certain events than other events? Explain. \end{enumerate}

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Problem 781

A manager records the repair cost for 12 randomly selected refrigerators. A sample mean of $\$ 95.47$ and standard deviation of $\$ 18.62$ are subsequently computed. Determine the $90 \%$ confidence interval for the mean repair cost for the refrigerators. Assume the population is approximately normal.
Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places. Tables Keypad
Answer How to enter your answer (opens in new window) Keyboard Shortcuts

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Problem 782

Listed below are the numbers of cricket chips in 1 minute and the corresponding temperatures in ${ }^{\circ} \mathrm{F}$ . Construct a scatterplot, and find the value of the linear correlation coefficient $r$ . Is there sufficient evidence to conclude that there is a linear comelation between the number of chips in 1 minute and the temperature? Use a significance level of $\alpha=0.05$ . \begin{tabular}{|l|c|c|c|c|c|c|c|c|} \hline Chirps in 1 min & 889 & 1172 & 1092 & 857 & 1207 & 1027 & 958 & 919 \\ \hline Temperature ( F ) & 71 & 92.2 & 83.6 & 75.1 & 87.8 & 81.3 & 71.1 & 79.4 \\ \hline \end{tabular}
Construct a scatterplot. Choose the correct graph below. A. B. c. D.
What are the null and alternative hypotheses? A. $H_{0}: \rho=0$ $H_{1}: \rho<0$ B. $H_{0}: \rho \neq 0$ $H_{1}: \rho=0$ c. $H_{0}: \rho=0$ $H_{1}: \rho \neq 0$ D. $H_{0}: \rho=0$ $H_{1}: \rho>0$
The linear correlation coefficient $r$ is $\square$ 0.88 (Round to three decimal places as needed.) The test statistic t is 4.54 . $\square$ (Round to two decimal places as needed.) Next

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Problem 783

Question 4 1 pts
Provide an appropriate response.
If an adult male is told that his height is within 2 standard deviations of the mean of the normal distribution of heights of adult males, what can he assume? He is taller than about 95\% of the other men whose heights were measured. His height measurement is in the same range as about $99.7 \%$ of the other adult males whose heights were measured. He is taller than about 99.7\% of the other men whose heights were measured. His height measurement is in the same range as about 95\% of the other adult males whose heights were measured.

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Problem 784

Calculate Spearman's rank correlation coefficient for the ranks: Geography: 6, 5, 4, 3, 2, 7, 1 and Economics: 7, 6, 2, 4, 1, 5, 3.

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Problem 785

Determine if there was discrimination against females based on the admission data: males admitted = 17, females admitted = 33. Total applicants: males = 25, females = 45.

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Problem 786

Who is more likely to be part-time: undergraduates (5,358) or graduates (1,769)? Choose the best answer.

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Problem 787

Analyze if hourly workers ( $31$ laid off) were more likely to be laid off than salaried ( $24$ laid off) using the data.

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Problem 788

State whether each of the following changes would make a confidence interval wider or narrower. (Assume that nothing else changes.) a. Changing from a $95 \%$ confidence level to a $90 \%$ confidence level. b. Changing from a sample size of 400 to a sample size of 30 . c. Changing from a standard deviation of 30 pounds to a standard deviation of 15 pounds.
Click the icon to view the $t$ -table. a. How will changing from a $95 \%$ confidence level to a $90 \%$ confidence level affect the width of the confidence interval? A. The interval will become wider. B. The interval will become narrower. C. This change will not affect the width of the interval.

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Problem 789

```latex Select the appropriate word or phrase to complete the sentence.
The $\square$ hypothesis states that a parameter is equal to a certain value while the (Choose one) hypothesis states that the parameter differs from this value.

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Problem 790

www-awu.aleks.com Content Aaleks Blackboard Content A ALEKS - Jonathan Ve... A ALEKS - Jonathan Ve... knicks - Google Sear... Homework \#5: 9(1,3,4,5) 14(1,2) Question 3 of 30 (1 point) I Question Attempt: 1 of 3 Jonathan $\checkmark 1$ $\checkmark 2$ 3 4. 5 6 7 8 9 10 11 12
A certain model of car can be ordered with either a large or small engine. The mean number of miles per gallon for cars with a small engine is 7.5 . An automotive engineer thinks that the mean for cars with the larger engine is lower than this. State the appropriate null and alternate hypotheses.
The null hypothesis is $H_{0}: \mu$ (Choose one) $\square$ .
The alternate hypothesis is $H_{1}: \mu$ $\square$ (Choose one) $\square$

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Problem 791

ww-awualeks.com Ess... Content A aleks Blackboard Content ALEKS - Jonathan Ve... A ALEKS - Jonathan Vo... knicks - Google Sear... Homework : $5 ; 9(1,3,4,5) 14(1,2)$ Question 4 of 30 (1 point) I Question Attempt: 1 of 3 Jonath $\checkmark 1$ $\times 2$ $\checkmark 3$ $\equiv 4$ 5 6 7 8 9 10 11 12
Which type of error? Batteries used in a certain heart pacemaker have a mean life of 7 years. A new type of battery is being tested and will be used in place of the old battery if it can be shown to have a mean lifetime of more than 7 years. A test is made of $H_{0}: \mu=7$ versus $H_{1}: \mu>7$ . There are two possible errors. Identify them.
Part 1 of 2 (a) The true mean is 7 or less, but the new batteries are used.
This is a Type $\square$ error.
Part: $1 / 2$
Part 2 of 2 (b) The true mean is greater than 7, but the new batteries are not used.
This is a Type $\square$ (Choose one) error. Start over Skip Part Check Save For Later Submit Assignment 02024 McGraw Hill LLC. All Rights Reserved. Terms of Use |'Privasy Center 1 Accessibility

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Problem 792

Homs - Worthem Ese. Contert Aneris www-awu-aleks.com Homework $=5: 9(1,3,4,5) 14(1,2)$ Question 5 of 30 (1 point) I Question Attempt 1 of 3 Blackboard Cortent A clers- shertan ve: A wers - so $\checkmark 1$ $\checkmark 3$ 5 6 7 8 9
Find the $P$ -value for the following values of the test statistic $t$ , sample size $n$ , and alternate hypothesis $H_{1}$ . Use the (9) Critical Values for the Student's t Distribution Table and specify that $P$ is between two values.
Part: $0 / 2$
Part 1 of 2 (a) $t=-1.498, n=21$ , and $H_{1}: \mu \neq \mu_{0}$ $\square$ $<P$ -value $<$ $\square$

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Problem 793

Northern Ess... Content Aaleks www-awu.aleks.com Homework * 5: 9(1,3,4,5) 14(1,2) Content ALEKS - Jonathan Vo... A Aleks - Jone Question 5 of 30 (1 point) I Question Attempt: 1 of 3 $\checkmark 1$ $\checkmark 3$ $\checkmark 4$ . 6 7 8 9
Find the $P$ -value for the following values of the test statistic $t$ , sample size $n$ , and alternate hypothesis $H_{1}$ . Use the Critical Values for the Student's $t$ Distribution Table and specify that $P$ is between two values.
Part 1 of 2 (a) $t=-1.498, n=21$ , and $H_{1}: \mu \neq \mu_{0}$ $0.10<P$ -value $<0.20$
Alternate Answer: $0.1<P$ -value $<0.2$
Part: $1 / 2$
Part 2 of 2 (b) $t=-1.585, n=15$ , and $H_{1}: \mu<\mu_{0}$ $\square$ $<P$ -value $<$ $\square$ Skip Part Check @ 2024 McGraw Hill LLC. All Rights Rese

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Problem 794

ome - Northern Ess... Content ww-awu.aleks.com $A_{\text {Aleks }}$ Blackboard Homework \# 5: 9(1,3,4,5) 14(1,2) Question 5 of 30 (1 point) I Question Attempt: 1 of 3 $\checkmark 1$ $\times 2$ $\checkmark 3$ $\checkmark 4$ $=5$ 6 7 8 9 10
Find the $P$ -value for the following values of the test statistic $t$ , sample size $n$ , and alternate hypothesis $H_{1}$ . Use the (3) Critical Values for the Student's t Distribution Table and specify that $P$ is between two values.
Part 1 of 2 (a) $t=-1.498, n=21$ , and $H_{1}: \mu \neq \mu_{0}$ $0.10<P \text {-value }<0.20$
Alternate Answer: $0.1<P \text {-value }<0.2$
Part: $1 / 2$
Part 2 of 2 (b) $t=-1.585, n=15$ , and $H_{1}: \mu<\mu_{0}$ $0.10^{\otimes}<P \text {-value }<0.15{ }^{\otimes}$
Try again Skip Part Recheck Save For O 2024 McGraw Hill LLC. All Rights Reserved. Term

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Problem 795

State whether the standardized test statistic $t$ indicates that you should reject the null hypothesis. Explain. (a) $t=-2.221$ (b) $t=2.166$ (c) $t=2.267$ (d) $t=-2.205$ (b) For $\mathrm{t}=2.166$ , should you reject or fail to reject the null hypothesis? A. Fail to reject $\mathrm{H}_{0}$ , because $-2.189<\mathrm{t}<2.189$ . B. Fail to reject $\mathrm{H}_{0}$ , because $t>2.189$ . C. Reject $\mathrm{H}_{0}$ , because $\mathrm{t}<-2.189$ . D. Reject $\mathrm{H}_{0}$ , because $-2.189<\mathrm{t}<2.189$ .

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Problem 796

Use a t-test to test the claim about the population mean $\mu$ at the given level of significance $\alpha$ using the given sample statistics. Assume the population is normally distributed. Claim: $\mu \geq 8300 ; \alpha=0.10$ Sample statistics: $\bar{x}=8100, s=460, n=25$
What are the null and alternative hypotheses? A. $\mathrm{H}_{0}: \mu \neq 8300$ B. $H_{0}: \mu=8300$ $H_{a}: \mu=8300$ $H_{a}: \mu \neq 8300$ C. $H_{0}: \mu \geq 8300$ D. $H_{0}: \mu \leq 8300$ $H_{a}: \mu<8300$ $H_{a}: \mu>8300$
What is the value of the standardized test statistic? The standardized test statistic is $\square$ (Round to two decimal places as needed.)

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Problem 797

A formal hypothesis test is to be conducted to test the claim that the wait times at the Space Mountain ride in Walt Disney World have a mean equal to 41 minutes. Complete parts (a) through (d). a. What is the null hypothesis, and how is it denoted? $\square$ $\square$ $\square$ $\square$ minute(s) (Type an integer or a decimal. Do not round.)

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Problem 798

A formal hypothesis test is to be conducted to test the claim that the wait times at the Space Mountain ride in Walt Disney World have a mean equal to 41 minutes. Complete parts (a) through (d). a. What is the null hypothesis, and how is it denoted? $\mathrm{H}_{0}$ $\square$ 41 minutes (Type an integer or a decimal. Do not round.) b. What is the alternative hypothesis, and how is it denoted? $\square$ $\square$ $\square$ minute(s) (4)pe an integer or a decimal. Do not round.)

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Problem 799

Suppose the weights of seventh-graders at a certain school vary according to a Normal distribution, with a mean of 100 poun and a standard deviation of 7.5 pounds. A researcher believes the average weight has decreased since the implementation of a new breakfast and lunch program at the school. She finds, in a random sample of 35 students, an average weight of 98 pounds.
What is the $P$ -value for an appropriate hypothesis test of the researcher's claim? $-1.578$ 0.115 0.943 0.057

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Problem 800

Claim: $\mu_{1}<\mu_{2}, \alpha=0.01$ . Sample statistics: $\bar{x}_{1}=1220, n_{1}=50, \bar{x}_{2}=1200$ , and $n_{2}=80$ . Population parameters: $\sigma_{1}=70$ and $\sigma_{2}=120$ . (a) The test statistic for $\mu_{1}-\mu_{2}$ is $\square$

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1 ...5 6 7 8 9 10 11 ...14

Statistical Inference

Problem 701

A historian finds marriage records from 1800-1820. Answer these: a) Descriptive summary? b) Inference? c) Population? d) Is 26.1 a statistic or parameter?

Problem 702

Are the populations the same if two different samples of 10 students support single sex classrooms? A. No, B. Yes, C. Yes, D. No.

Problem 703

Two students sample 10 each to find support for single sex classrooms. Answer parts a and b about their populations.

Problem 704

A historian finds marriage records (1800-1820) showing an average age of 26.1 years. Answer the following: a. What is the descriptive summary? b. What is the inference about the population? c. What population does this refer to? d. Is 26.1 a statistic or a parameter?

Problem 705

Is the 31%31\%31% response from the poll a statistic or a parameter regarding voter opinions on immigration?

Problem 706

Problem 707

Problem 708

Problem 709

Problem 710

Problem 711

Problem 712

Problem 713

Problem 714

Problem 715

Problem 716

Problem 717

Problem 718

Problem 719

Problem 720

Problem 721

At distribution with 7 degrees of freedom is graphed below. The region under the curve to the right of t0.9t_{0.9}t0.9​ is shaded. The area of this region is 0.9Find the value of t0.9t_{0.9}t0.9​. Round your answer to three decimal places. t0.9=t_{0.9}=t0.9​= □\square□

Problem 722

Problem 723

Problem 724

Problem 725

Problem 726

Problem 727

Problem 728

Problem 729

Problem 730

Problem 731

Problem 732

Problem 733

Problem 734

Problem 735

Problem 736

Problem 737

Compute the correlation coefficient. \begin{tabular}{l|lllll} xxx & 2 & 5 & 4 & 1 & 6 \\ \hlineyyy & 3 & 6 & 1 & 2 & 4 \end{tabular}Send data to ExcelThe correlation coefficient is □\square□ . Round the answers to three decimal places.

Problem 738

Problem 739

Determine the percent of data to the left of the zzz-score: z=1.44z=1.44z=1.44. 92.51\% 94.95\% 93.82\% 95.91\%

Problem 740

Problem 741

Problem 742

Problem 743

Problem 744

Problem 745

A historian finds marriage records from 1800−18201800-18201800−1820 showing an average age of 26.7. Answer these questions about the data.

Problem 746

A historian estimates the average age at marriage of men (1800-1820): average age is 26.7 years, range is 25.8-27.6 years. a. What summarizes the data? b. What infers about the population? c. What population is referred to? d. Is 26.7 a statistic or parameter?

Problem 747

Is 55%55\%55% of seniors owning a vehicle a statistic or a parameter? Choose the correct explanation.

Problem 748

Calculate the correlation coefficient rrr, find the regression line, and predict the 5K time for VO2max=24.79\mathrm{VO}_{2} \mathrm{max} = 24.79VO2​max=24.79.

Problem 749

Determine if the following values are parameters or statistics: a. 66% of MAT 120 students passed. b. Mean height of 228 males is 69.5 inches. c. 16% of a Stats class are freshmen. d. Mean daily Snapchat usage is 68 minutes.

Problem 750

Problem 751

Problem 752

Problem 753

When a correlation is statistically significant, we can claim that the variables are (A) associated (B) from an experiment (C) part of the "third variable problem"D statistically independent

Problem 754

Problem 755

Problem 756

Problem 757

Problem 758

Problem 759

Problem 760

Problem 761

Problem 762

Problem 763

Problem 764

Problem 765

Is the $31\%$ response from the poll a statistic or a parameter regarding voter opinions on immigration?

At distribution with 7 degrees of freedom is graphed below. The region under the curve to the right of $t_{0.9}$ is shaded. The area of this region is 0.9
Find the value of $t_{0.9}$ . Round your answer to three decimal places. $t_{0.9}=$ $\square$

Compute the correlation coefficient. \begin{tabular}{l|lllll} $x$ & 2 & 5 & 4 & 1 & 6 \\ \hline $y$ & 3 & 6 & 1 & 2 & 4 \end{tabular}
Send data to Excel
The correlation coefficient is $\square$ . Round the answers to three decimal places.

Determine the percent of data to the left of the $z$ -score: $z=1.44$ . 92.51\% 94.95\% 93.82\% 95.91\%

A historian finds marriage records from $1800-1820$ showing an average age of 26.7. Answer these questions about the data.

A historian estimates the average age at marriage of men (1800-1820): average age is 26.7 years, range is 25.8-27.6 years.
a. What summarizes the data? b. What infers about the population? c. What population is referred to? d. Is 26.7 a statistic or parameter?

Is $55\%$ of seniors owning a vehicle a statistic or a parameter? Choose the correct explanation.

Calculate the correlation coefficient $r$ , find the regression line, and predict the 5K time for $\mathrm{VO}_{2} \mathrm{max} = 24.79$ .

When a correlation is statistically significant, we can claim that the variables are (A) associated (B) from an experiment (C) part of the "third variable problem"
D statistically independent