Data & Statistics

Problem 3901

Determine whether the number described is a statistic or a parameter. The average ACT score of all testers from a local high school is 23. Parameter Statistic

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Problem 3902

$\checkmark 1$ 2 3 4 5 6 7 8 9
Determine whether the data described are discrete or continuous. The velocity of a pitched baseball. Discrete Continuous

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Problem 3903

```latex \text{Find the amount of the down payment (rounded to the nearest hundred dollars) necessary for the buyer to afford the monthly payments for the described home. (Use this table to calculate your answer.)}
\text{Monthly salary of } \$1,815, \text{ with monthly bills of } \$245; \$89,000 \text{ home with a 30-year } 9\% \text{ loan}
\text{Monthly Cost to Finance } \$1,000 \begin{tabular}{|c|c|c|c|c|c|c|} \hline \multirow[b]{2}{*}{Rate of Interest} & \multicolumn{6}{|c|}{Number of Years Financed} \\ \hline & \begin{array}{l} 5 \text{ years} \\ N=60 \end{array} & 10 \text{ years} N=120 & 15 \text{ years} N=180 & \begin{array}{l} 20 \text{ years} \\ N=240 \end{array} & \begin{array}{l} 25 \text{ years} \\ N=300 \end{array} & 30 \text{ years} N=360 \\ \hline 6.0\% & 19.33 & 11.10 & 8.44 & 7.16 & 6.44 & 6.00 \\ \hline 6.5\% & 19.57 & 11.35 & 8.71 & 7.46 & 6.75 & 6.32 \\ \hline 7.0\% & 19.80 & 11.61 & 8.99 & 7.75 & 7.07 & 6.65 \\ \hline 7.5\% & 20.04 & 11.87 & 9.27 & 8.06 & 7.39 & 6.99 \\ \hline 8.0\% & 20.28 & 12.13 & 9.56 & 8.36 & 7.72 & 7.34 \\ \hline 8.5\% & 20.52 & 12.40 & 9.85 & 8.68 & 8.05 & 7.69 \\ \hline 9.0\% & 20.76 & 12.67 & 10.14 & 9.00 & 8.39 & 8.05 \\ \hline 9.5\% & 21.00 & 12.94 & 10.44 & 9.32 & 8.74 & 8.41 \\ \hline 10.0\% & 21.25 & 13.22 & 10.75 & 9.65 & 9.09 & 8.78 \\ \hline 10.5\% & 21.49 & 13.49 & 11.05 & 9.98 & 9.44 & 9.15 \\ \hline 11.0\% & 21.74 & 13.77 & 11.37 & 10.32 & 9.08 & 9.52 \\ \hline 11.5\% & 21.99 & 14.06 & 11.68 & 10.66 & 10.16 & 9.90 \\ \hline 12.0\% & 22.24 & 14.35 & 12.00 & 11.01 & 10.53 & 10.29 \\ \hline \end{tabular}

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Problem 3904

Suppose that a smartphone company reports that the battery life on its newest model is normally distributed with a mean of 18.6 hrs and a standard deviation of 5.4 hrs . A team of developers has created an app that is designed to increase battery life. While beta testing their app, they selected a random sample of 10 users and recorded their summary statistics in the following table.
Test of $\mu=18.6$ vs $\mu>18.6$ The assumed standard deviation $=5.4$ \begin{tabular}{|c|c|c|} \hline \begin{tabular}{c} Sample \\ size \end{tabular} & \begin{tabular}{c} Sample \\ mean \end{tabular} & \begin{tabular}{c} Std dev \\ of $\bar{x}$ \end{tabular} \\ \hline $n$ & $\bar{x}$ & SE \\ \hline 10 & 20.6 hrs & 1.708 hrs \\ \hline \end{tabular}
Complete the analysis by calculating the $P$ -value and making the decision. Give the $P$ -value precise to at least four decimal places.
The developers want their results to be statistically significant at a level of $\alpha=0.10$ . Use the data provided and the $p$ -value you calculated to fill in the blanks and complete the sentences that form the developers' conclusion. $\qquad$ 0.1090 Incorrect Answer

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Problem 3905

Suppose that a smartphone company reports that the battery life on its newest model is normally distributed with a mean of 18.6 hrs and a standard deviation of 5.4 hrs . A team of developers has created an app that is designed to increase battery life. While beta testing their app, they selected a random sample of 10 users and recorded their summary statistics in the following table.
Test of $\mu=18.6$ vs $\mu>18.6$ The assumed standard deviation $=5.4$ \begin{tabular}{ccc} \begin{tabular}{c} Sample \\ size \end{tabular} & \begin{tabular}{c} Sample \\ mean \end{tabular} & \begin{tabular}{c} Std dev \\ of $\bar{x}$ \end{tabular} \\ \hline $n$ & $\bar{x}$ & SE \\ \hline 10 & 20.6 hrs & 1.708 hrs \\ \hline \end{tabular}
Complete the analysis by calculating the $P$ -value and making the decision. Give the $P$ -value precise to at least four decimal places.
The developers want their results to be statistically significant at a level of $\alpha=0.10$ . Use the data provided and the $p$ -value you calculated to fill in the blanks and complete the sentences that form the developers' conclusion.

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Problem 3906

$24,25,44,49,63,77,110$
What is the mean of the values shown?

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Problem 3907

2. Before COVID, the mean age of cars driven was 6 years. Since COVID and the disrupted supply chain, cars seem to be older. A random sample from March 2022 of 45 cars showed the mean age of 7.1 years with a sample standard deviation of 4.1 years. Find the 95\% confidence interval estimate of the mean age of cars in March 2022.

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Problem 3908

Consider the distribution of the numbers of the ages of patrons who visit an amusement park. Complete parts (a) through (d) below. D. There would probably be no peaks. People of all ages are equally likely to visit an amusement park and the distribution would be uniform. b. Make a sketch of the distribution. Choose the correct answer below. A. B. C. D. c. Would you expect the distribution to be symmetric, left-skewed, or right-skewed? Explain. A. The distribution would probably be right-skewed because there is a clear minimum age but no obvious maximum age for people who visit an amusement park. B. The distribution would probably be symmetric because there are no obvious factors to indicate that any particular age group is more likely to visit an amusement park. C. The distribution would probably be left-skewed because there is a clear maximum age but no obvious minimum age for people who visit an amusement park. D. The distribution would probably be symmetric because there are four distinct age groups that visit amusement parks. d. Would you expect the variationpf the distribution to be small, moderate, or large? Explain. A. The variation would probably be large because there are many amusement parks that people can visit, not just a single amusement park. B. The variation would probably be large because people of ages far from the mode also visit amusement parks. C. The variation would probably be moderate because there are no obvious factors that would make it small or large. D. The variation would probably be small because most people who visit amusement parks are about the same age.

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Problem 3909

d) equal to $1 / 10$ e) equal to $9 / 10$ because you were not caught in the last nine days.
3. A randomly selected student is asked to respond to wes, no or maxbe to the questions, "Do you intend to vote in the next presidential election?" The sample space is $\{Y, N, M a y b\}$ . Which of the following could be a legitimate assignment of probabilities for this sample space? a) $.4, .4, .4$ b) $.2, .6, .2$ c) $.3, .3, .3$ d) $.5, .4, .2$ e) $.1, .1, .1$
4. Suppose that 30 percent of the subscribers to a cable television service watch the shopping channel at least once a week. You are to design a simulation to estimate the probability that none of five randomly selected subscribers watches the shopping channel at least once a week. Which of the following assignments of the digits 0 through 9 would

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Problem 3910

Consider the following hypothesis, $\begin{array}{l} H_{0}: \mu=7, \quad \mathrm{~S}=5, \quad \bar{X}=5, \quad n=46 \\ H_{a}: \mu \neq 7 \end{array}$

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Problem 3911

and after the diesel exhaust exposure. The resulting data are given in the accompanying table. For purposes of this exercise, assume that the sample of 10 men is representative of healthy adult males. \begin{tabular}{|c|c|c|c|c|} \hline \multirow[t]{2}{*}{Subject} & \multicolumn{4}{|c|}{MPF (in Hz)} \\ \hline & Location 1 before & Location 1 after & Location 2 before & Location 2 after \\ \hline 1 & 6.4 & 8.0 & 6.8 & 9.4 \\ \hline 2 & 8.6 & 12.7 & 9.5 & 11.2 \\ \hline 3 & 7.4 & 8.4 & 6.6 & 10.2 \\ \hline 4 & 8.6 & 9.0 & 9.0 & 9.7 \\ \hline 5 & 9.9 & 8.4 & 9.6 & 9.2 \\ \hline 6 & 8.8 & 11.0 & 9.0 & 11.8 \\ \hline 7 & 9.1 & 14.4 & 7.8 & 9.3 \\ \hline 8 & 7.4 & 11.1 & 8.1 & 9.1 \\ \hline 9 & 6.7 & 7.3 & 7.2 & 8.0 \\ \hline 10 & 8.8 & 11.2 & 7.4 & 9.3 \\ \hline \end{tabular}
Use a table or technology. Round your answers to two decimal places.) ( $\square$ , $\square$ ) Hz

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Problem 3912

$\begin{array}{l} H_{0}: \rho=0 \\ H_{a}: \rho \neq 0 \end{array}$
If $\mathrm{n}=13$ and $r=-0.4$ compute $t \star=r \sqrt{\frac{n-2}{1-r^{2}}}$

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Problem 3913

Consider the following hypothesis. $\begin{array}{l} H_{0}: \sigma_{1}=\sigma_{2} \\ H_{a}: \sigma_{1} \neq \sigma_{2} \end{array}$
Find the test statistic $F \star$ (step 2). $S_{1}=13.7, \quad S_{2}=27.7$

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Problem 3914

\text{Use the graph to answer the question.} \\ \text{What were the total sales for the first 6 months of Year 2?} \\
\text{Big "D" Sales for Year 1, Year 2} \\ \text{A. } \$366,000 \\ \text{B. } \$286,000 \\ \text{C. } \$302,000 \\ \text{D. } \$64,000 \\
\text{The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.} \\
\text{Dialogue Transcript:} \\
\text{assistant:} \\ \text{Hello! It seems that the problem involves a graph showing "Big D" sales for Year 1 and Year 2, and you need to calculate the total sales for the first 6 months of Year 2. However, I don't have the actual graph data or the sales figures for those months.} \\
\text{Could you please provide the sales values for each of the first 6 months of Year 2? That way, I can help you calculate the total sales for that period.} \\
\text{user:} \\ 48,50,44,46,52,50 \\

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Problem 3915

2 Epidemiologie 15P.
In einer Studie soll die Aussagekraft eines neuen Testverfahrens zur Diagnose des MammaCa untersucht werden. (fiktive Studie) 2.1 Ordnen Sie die Daten aus der vorliegenden Studie einer Vier-Felder-Tafel zu und beurteilen Sie anschließend, auf Grundlage epidemiologischer Berechnungen (Sensitivität + Spezifität), den praktischen Nutzen dieses Testverfahrens (M4, M5). (15P) $\frac{a}{a+c}$ $\frac{d}{d+b}$ 278
Material $4 \quad$ Studie zum Nachweis eines MammaCa In einer Studie soll die Aussagekraft eines neuen Schnellitests für den Nachweis eines Mammakarzinoms untersucht werden. Hierzu wird ein Kontrolltest/Referenztest mit einer 100\%igen Sensitivität und Spezifität genutzt, um die Aussagekraft des neuè Testverfahrens zu prüfen. In einer Untersuchung wurde bei insgesamt 600 Personen das neue Schnelltestverfahren für Mammakarzinom durchgeführt und anschließend der Kontrolltest/Referenztest vorgenommen. Dabei ergab sich, dass bei 200 Personen beide "Tests" positiv ausfielen und bei 213 Personen beide "Tests". negativ ausfielen. Insgesamt viel bei 299 Personen der Kontrolltest/Referenztest positiv aus.
Material 5 Vierfeldertafel

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Problem 3916

$\begin{array}{l}H_{0}: \mu=7, \quad S=4.4, \bar{X}=9, n=60 \\ H_{a}: \mu \neq 7\end{array}$

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Problem 3917

$\begin{array}{l} H_{0}: \sigma=17 \\ H_{a}: \sigma \neq 17 \end{array}$
Use the following information: $n=23$ , and $S=35$ , to find the test statistic (step 2).

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Problem 3918

Question 2 of 6 This quiz: 6 point(s) possible This question: 1 point(s) possible
Tests for adverse reactions to a new drug yielded the results given in the table. Find the value of the $\chi^{2}$ test statistic for a hypothesis test of independence, rounded to 3 decima \begin{tabular}{r|cc} & Drug & Placebo \\ \hline Headaches & 12 & 7 \\ No headaches & 73 & 91 \end{tabular} A. 2.380 B. 0.123 C. 3.841 D. 2.830

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Problem 3919

Anna Washburn 12/01/24 7:34 PM Question 1 of 6 This quizz 6 point(s) possible This question: 1 point(s) possible Submit quiz
Assume that a yes/no survey question is presented to a simple random sample of male and female subjects and the results are summarized in a two-way table with the format of the table to the right. Use the given value of the $\chi^{2}$ test statistic and the given significance level to test for independence between gender and response.
Test statistic: $\chi^{2}=4.874 ;$ significance level: 0.05 Click the icon to view the critical values of $\chi^{2}$ table.
Choose the correct hypotheses beld A. $\mathrm{H}_{0}$ : There is a relationship b $H_{a}$ : There is no relationship B. $H_{0}$ : There is no relationship $H_{a}$ : There is a relationship b
Find the critical value of $\chi^{2}$ . $\square$ (Round to three decimal places State the conclusion. A. Do not reject the null hypoth B. Reject the null hypothesis. $G$ C. Reject the null hypothesis. D. Do not reject the null hypoth
Critical values of chi-square \begin{tabular}{|c|c|c|} \hline \multicolumn{3}{|c|}{Critical Values of $\chi^{2}$ : Reject $H_{0}$ Only If $\chi^{2}>$ Critical Value} \\ \hline \multirow[t]{2}{*}{Table size (rows $\times$ columns)} & \multicolumn{2}{|l|}{Significance level} \\ \hline & 0.05 & 0.01 \\ \hline $2 \times 2$ & 3.841 & 6.635 \\ \hline $2 \times 3$ or $3 \times 2$ & 5.991 & 9.210 \\ \hline $3 \times 3$ & 9.488 & 13.277 \\ \hline $2 \times 4$ or $4 \times 2$ & 7.815 & 11.345 \\ \hline $2 \times 5$ or $5 \times 2$ & 9.488 & 13.277 \\ \hline \end{tabular} \begin{tabular}{|l|c|c|} \hline & Yes & No \\ \hline Female & & \\ \hline Male & & \\ \hline \end{tabular}

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Problem 3920

This question: 1 point(\$) possible
Of the 94 participants in a drug trial who were given a new experimental treatment for arthritis, 54 showed improvement. Of the 89 participants given a placebo, 46 showed improvement. Construct a two-way table for these data, and then use a 0.05 significance level to test the claim that improvement is independent of whether the participant was given the drug or a placebo.
Click the icon to view the critical values of $\chi^{2}$ table.
Complete the following two-way table. \begin{tabular}{|l|c|} \hline & improvement \\ \hline Drug & $\square$ \\ \hline Placebo & $\square$ \\ \hline \end{tabular} a. State the null and the al A. The null hypothesis The alternative hyp B. The alternative hyThe null hypothesis b. Assuming independenc
Critical values of chi-square \begin{tabular}{|c|c|c|} \hline \multicolumn{3}{|c|}{Critical Values of $\chi^{2}$ : Reject $H_{0}$ Only If $\chi^{2}>$ Critical Value} \\ \hline \multirow[t]{2}{*}{Table size (rows $\times$ columns)} & \multicolumn{2}{|l|}{Significance level} \\ \hline & 0.05 & 0.01 \\ \hline $2 \times 2$ & 3.841 & 6.635 \\ \hline $2 \times 3$ or $3 \times 2$ & 5.991 & 9.210 \\ \hline $3 \times 3$ & 9.488 & 13.277 \\ \hline $2 \times 4$ or $4 \times 2$ & 7.815 & 11.345 \\ \hline $2 \times 5$ or $5 \times 2$ & 9.488 & 13.277 \\ \hline \end{tabular}
Placebo (Round to the nearest hun c. Find the value of the $\chi^{2}$
Print Done $\chi^{2}=$ $\square$ (Round to the ne d. Use the given significance level to find the $\chi^{2}$ critical value.
The critical value is $\square$ . (Round to the nearest thousandth as needed.) e. Using the given significance level, complete the test of the claim that the two variables are independent. State the conclusion that addresses the original claim. Choose the correct answer below. There does not appear to be a relationship between improvement and treatment (drug or placebo).

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Problem 3921

$\text{Given the following data points:}$ \begin{align} &\text{Shoe size (pointure de Soulier): 6, Foot length (longueur du pied): 20, Height (hauteur): 146.5} \\ &\text{Shoe size (pointure de Soulier): 6.5, Foot length (longueur du pied): 24, Height (hauteur): 162} \\ &\text{Shoe size (pointure de Soulier): 7, Foot length (longueur du pied): 22.5, Height (hauteur): 163} \\ &\text{Shoe size (pointure de Soulier): 7, Foot length (longueur du pied): 23, Height (hauteur): 166} \\ &\text{Shoe size (pointure de Soulier): 7, Foot length (longueur du pied): 18, Height (hauteur): 169} \\ &\text{Shoe size (pointure de Soulier): 7, Foot length (longueur du pied): \text{unknown}, Height (hauteur): \text{unknown}} \end{align}
$\text{Using a linear model, predict the height for the last data point with a shoe size of 7.}$
$\text{Determine whether interpolation or extrapolation is used in this prediction.}$

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Problem 3922

According to an article at africageographic.com there are many unexpected uses for elephant waste. But how much waste do elephants produce per day? Studies show that the distribution of waste produced by adult elephants can be modeled by a Normal distribution with mean 250 pounds and standard deviation 21 pounds. a) What percent of adult elephants produce at least 300 pounds of waste in a day? b) A zoo has an agreement with the local farmers. They sell the daily waste from their elephants to the farmers for $\$ 5.00$ per pound. If the amount of waste produced by the elephant on a given day is at the 10 th percentile of the distribution of waste, how much money would the zoo make selling the waste that day?

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Problem 3923

Rudi memiliki dua buah koin 1000 rupiah, Ialu melemparkan kedua koin tersebut bersamaan. Berapa peluang muncul angka dan gambar pada kedua koin?
Sebuah kartu diambil dari satu kartu standar 52 kartu. Berapakah peluang kartu yang diambil adalah hati?
Dalam sebuah kotak terdapat 5 bola merah dan 3 bola biru. Jika satu bola diambil secara acak, berapakah peluang bola yang diambil adalah bolah merah?
Dalam sebuah undian terdapat 10 tiket, dimana 3 tiket adalah pemenang. Jika satu tiket diambilsecara acak, berapakah peluang tiket yang diambil adalah tiket pemenang?
Banyak kata yang dapat disusun dari kata "SUKSES" adalah...
Arkan akan membuat password untuk alamat emailnya yang terdiri dari 5 huruf kemudian diikuti oleh 2 angka yang berbeda. Jika huruf yang disusun berasal dari pembentuk kata pada namanya, maka banyaknya password yang dibuat adalah...
Dari angka-angka 01234567 dan akan dibentuk bilangan tiga angka yang kurang dari 800 dan angka tidak boleh ada yang berulang. Banyak bilangan yang terjadi adalah....bilangan

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Problem 3924

Create a grouped frequency distribution for these IQ scores: 85-89 for the first class, with equal widths for others.

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Problem 3925

Find the five-number summary (Min, Q1, Med, Q3, Max) from this stem & leaf plot: 1|38, 2|256, 3|25, 4|4899, 5|04467, 6103.

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Problem 3926

Find the 39th percentile of the sorted data set with $n=117$ . Calculate it as $P_{39}=$ .

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Problem 3927

Find the 64th percentile of a sorted data set with $n=117$ . Calculate $P_{64}=$

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Problem 3928

Find where to place the missing value of 6 on a seesaw graph, given total distances below and above the mean are 5 and 7, respectively.

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Problem 3929

Find the 54th percentile, $P_{54}$ , from the data set: 3, 5, 7, 8, 9, 15, 16, 17, 20, 22, 25, 29, 30, 39, 41, 45, 49, 52, 53, 54, 55, 58, 60, 62, 71, 73, 74, 77, 78, 79, 82, 91, 94, 95, 98, 100. Calculate $P_{54}$ .

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Problem 3930

Find the third quartile for the scores: $90, 85, 100, 50, 45, 70, 60, 40$ .

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Problem 3931

Estimate alcohol and marijuana use by US high school seniors in 2010 using $A=-0.9n+88$ and $M=0.1n+43$ .

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Problem 3932

In the data set $20,35,40,41,44$ , is 40 the median, 1st quartile, 50th percentile, or 2nd quartile?

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Problem 3933

Find the 50th percentile of the data set: $10, 20, 30, 40, 50, 60$ . Options: 30.5, 30, 40, 35.

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Problem 3934

Find the first, second, and third quartiles for the data set: $10, 15, 20, 25, 30, 35, 40, 45, 50$ .

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Problem 3935

Find the 50th percentile of the data set: $10, 20, 30, 40, 50, 60$ . Options are 30.5, 30, 35, or 40.

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Problem 3936

Find the first quartile for the scores $90, 85, 100, 50, 45, 70, 60, 40$ . Options: 47.5, 50, 45, 40.

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Problem 3937

Find the position of the missing score (orange box) on a graph where total distance below the mean is 5 and above is 7.

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Problem 3938

Find the variance, standard deviation, and $z$ -score of 15 for the data set: $4,7,2,7,9,10,15$ . Round to one decimal place.

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Problem 3939

Find the range of the data set: $3.1, 2.6, 7.8, 3.5, 1.9, 2.3, 4.8, 5.4, 3.7, 4.5$ . Options: 5.9, 5, 6, 5.8.

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Problem 3940

Find the range, variance, and standard deviation (1 decimal place) for the data set: $21, 23, 20, 22, 25$ .

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Problem 3941

A gas station attendant tracks 18 customers' gasoline choices. What are the probabilities for each grade?

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Problem 3942

Calculate the area of Chicago given its 2017 population of 2,716,450 and a density of 11,898 people per mi².

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Problem 3943

Find the increase in Chicago's African American population from 44,103 to 233,903 between 1910 and 1930. Calculate the rate of change.

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Problem 3944

What is the theoretical probability of not selecting a heart from a 52-card deck? Express as a fraction: $\frac{39}{52}$ .

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Problem 3945

What must be true for the probability of a randomly selected person having blood type A to be $P(A)=\frac{1}{4}$ ? Is this true?

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Problem 3946

In a survey of 130 freshmen, how many took only music if: 31 took history, 34 took science, 35 took music, 10 took science and music, 14 took history and music, and 5 took all three?

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Problem 3947

Gas density at constant pressure (14.5 psi) varies with temperature. Find domain, range, mapping, and ordered pairs for temps $0, 21, 50, 70, 110^{\circ} \mathrm{C}$ and densities $1.552, 1.281, 1.202, 1.101, 1.039 \mathrm{kg/m}^{3}$ .

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Problem 3948

A scientist measures $81.1 \mathrm{~cm}^{3}$ ; true value is $60.0 \mathrm{~cm}^{3}$ . Find absolute and relative error.

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Problem 3949

A scientist measures $561 \mathrm{g/m}^3$ ; the true value is $400 \mathrm{g/m}^3$ . Find absolute and relative error.

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Problem 3950

Four teams measured a neutron star's rotation. Given a reliable measurement of $0.310 \mathrm{~s}$ , find the most accurate and precise earlier measurements.

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Problem 3951

Find the price per bushel of corn using $p(x)=6+0.08 x+0.09 x^{2}$ for $x=0$ to $5$ .

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Problem 3952

Given sales and prices for Q1 2009 and 2010, find the linear demand function $q(p)$ and predict sales at \$75. For each \$1 price increase, how many units decrease?

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Problem 3953

Find the linear demand function for cell phones using the 2009 and 2010 data. Predict sales at \$156 and state the decrease per \$1 increase.
$q(p)=$

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Problem 3954

Find the winning time prediction for 2009 using $y=-0.02274 x+52.77$ and compare it to the actual time of 6.98 min. What is the $x$ -value for 2009? $x=$

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Problem 3955

Find the predicted winning time for 2009 using $y=-0.02274 x+52.77$ and compare it to the actual time of 6.98 minutes. What is $x$ for 2009? $x=$

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Problem 3956

Find the probability of selecting one Democrat and one Republican from a group of 4 Democrats, 4 Republicans, and 3 Independents.

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Problem 3957

Worldwide cell phone sales data for 2009 and 2010 shows prices at \$163 (2009) and \$153 (2010).
(a) Demand equation: $q(p)=-39p+6,472$ . Predict sales at \$156. Round to nearest million.
(b) Sales decrease by 39 million units for each \$1 price increase.

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Problem 3958

Find the probability of selecting one green and one black marble from a jar of 10 marbles without replacement.

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Problem 3959

What is the probability of drawing two hearts from a deck without replacement? Express as a reduced fraction.

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Problem 3960

Rita earned a $3\%$ commission on 5 home sales. Calculate her total earnings before taxes from the following prices: \$510,000, \$625,000, \$450,000, \$780,000, \$650,000.

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Problem 3961

A container has 10 marbles: 3 blue, 2 red, 1 orange, and 4 yellow. Find the probability of selecting blue and orange.

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Problem 3962

Find the probability of drawing a jack or a black card from a standard deck. Options: $\frac{7}{13}$ , $\frac{4}{52}$ , $\frac{1}{52}$ , $\frac{1}{2}$ .

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Problem 3963

Find the probability of drawing a 7 or a queen from a standard deck of cards: $P = \frac{2}{13}, \frac{5}{13}, \frac{6}{13}, \frac{1}{13}$ .

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Problem 3964

Find the probability of rolling a sum of 6 or 10 with two dice: $\frac{4}{9}$ , $\frac{1}{3}$ , $\frac{1}{9}$ , $\frac{2}{9}$ .

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Problem 3965

Find the probability of rolling a 3 or an odd number on a die. Express as a simplified fraction.

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Problem 3966

Find the probability of drawing a 6 or a red card from a deck. Express your answer as a reduced fraction.

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Problem 3967

What is the probability of rolling a die and getting an even or odd number? Options: 0.75, 0.5, $(1$ , 1, $\bigcirc 0$

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Problem 3968

1. What percent of accidents involved more than one vehicle?
2. What percent of accidents involved one vehicle and alcohol?
3. What percent of one-vehicle accidents involved alcohol?
4. A man has 4 pants, 8 shirts, 5 shoes, and 6 socks. How many outfits can he create?
5. How many ways can seven teams finish in the top three positions?
6. Pizza Land has 15 toppings. How many ways can you choose 3 toppings?
7. How many possible passwords can be made with 3 English letters?

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Problem 3969

Calculate the surplus in the greeting card market with a price floor of \$6.00, given the supply and demand data.

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Problem 3970

Calculate the surplus of wheat when the price floor is set at \$8.00, given the supply and demand at that price.

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Problem 3971

Calculate the surplus from a price floor of \$8.50 when quantity demanded is 75 and quantity supplied is 480.

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Problem 3972

Calculate the surplus in the electric car market with a price floor of \$75,000, given the supply and demand data.

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Problem 3973

Calculate the surplus when the price floor is set at \$67 for tomatoes, given the supply and demand data.

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Problem 3974

Find the shortage when a price ceiling of \$ 600 is set on generators, given the supply and demand data.

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Problem 3975

Calculate the surplus in the corn market with a price floor of \$2.50, given the supply and demand data.

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Problem 3976

Calculate the shortage in bottled water when a price ceiling of \$6 per gallon is set. Use the given supply and demand data.

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Problem 3977

Find the equilibrium price and quantity for cheddar cheese from the supply and demand data provided.
$q=\square, p=\$$

See Solution

Problem 3978

How much do 11 toy parts cost if 2 parts are \$0.90, 7 parts are \$3.15, 12 parts are \$5.40, and 15 parts are \$6.75?

See Solution

Problem 3979

Leslie's poll may miss certain groups. Which is the best example of undercoverage? A) Some won't answer. B) Using a phonebook excludes unlisted and cell-only adults. C) Some may not participate.

See Solution

Problem 3980

Leslie's campaign may miss certain groups. What is the best example of undercoverage? A) Some won't answer. B) Using phonebook excludes unlisted and cell-only users. C) Some may not participate. D) Contacting non-registered voters. E) Inaccurate answers due to question wording.
Choose the best example.

See Solution

Problem 3981

A mobile service provider surveys 5,000 customers about privacy. 350 respond, with $60\%$ concerned. What bias affects results? (A) Undercoverage (B) Voluntary response (C) Convenience sample (D) Response bias

See Solution

Problem 3982

A principal polled 50 students about phone use in class. Only $10\%$ admitted to using phones, but $25\%$ were observed. What's the main bias? (A) Undercoverage (B) Voluntary response (C) Convenience sample (D) Response bias (E) Nonresponse bias

See Solution

Problem 3983

Valerie's team of 30 rated her as "outstanding" at $83\%$ . Why might this result be biased? Choose 1 answer: A, B, C, or D.

See Solution

Problem 3984

A city polls residents on a sugary beverage tax. $70\%$ oppose it. Why might this result be biased? Choose 1 answer: A, B, C, or D.

See Solution

Problem 3985

Abe sold 160 sq ft for \$878.40 and Bob sold 85 sq ft for \$466.65. Is cost proportional to area? Show calculations and explain.

See Solution

Problem 3986

Abe's store sold 160 sq ft for \$878.40, Bob's sold 85 sq ft for \$466.65. Is cost proportional to area? Show work.

See Solution

Problem 3987

A researcher wants to sample students from a high school.
(a) Describe a simple random sampling plan.
(b) Describe a systematic sampling plan.
(c) Does sampling from each grade create a stratified or cluster sample? Explain.

See Solution

Problem 3988

Si cuentas tus latidos desde la medianoche del 1 de enero de 2000, ¿cuándo alcanzarías el latido número $1,000,000$ y el $1,000,000,000$ ?

See Solution

Problem 3989

Select pages from a book to count words, excluding equations.
a. Describe a simple random sampling method. b. Describe a stratified sampling method and justify your strata choice.

See Solution

Problem 3990

Calculate the variance for each budget item: Food ( $360$ vs $298$ ), Transportation ( $320$ vs $334$ ), Housing ( $950$ vs $982$ ), Clothing ( $110$ vs $134$ ), Personal ( $275$ vs $231$ ). Indicate deficit or surplus.

See Solution

Problem 3991

How many kilocalories are in 3 cups of whole milk with 13.36g carbs, 3g fat, and 6g protein? Include unit symbol.

See Solution

Problem 3992

Compare toilet paper packages: Sam's Club (36 rolls, 248 sheets each, \$26.99) vs Walmart (8 rolls, 350 sheets each, \$5.99). Find sheets/dollar and cost/sheet.

See Solution

Problem 3993

Calculate the total energy in kJ for 4 cups of whole milk with 17.86 g carbs, 3.17 g fat, and 3.31 g protein.

See Solution

Problem 3994

Calculate total assets, total liabilities, net worth, total cash inflows, and total cash outflows from the given data.

See Solution

Problem 3995

Are the costs for 260, 325, and 488 copies proportional? Check if the ratio of cost to copies is constant.

See Solution

Problem 3996

Is the cost of copies ( $5.20,$ 6.50, $9.76) proportional to the number of copies (260, 325, 488)? Predict cost for 600 copies.

See Solution

Problem 3997

Is the cost of copies proportional to the number? If yes, find cost for 600 copies; if no, write NO SOLUTION.

See Solution

Problem 3998

Create a bar chart for the college choice survey data: Definitely yes (0.447), Probably yes (0.373), Probably no (0.134), Definitely no (0.046). Suggest a headline for your article.

See Solution

Problem 3999

Find the missing score $x_6$ from $n=6$ scores ( $x_1=1, x_2=6, x_3=7, x_4=7, x_5=8$ ) with mean $M=5$ . Also, calculate total distances below and above the mean.

See Solution

Problem 4000

Is the fee for ride tickets proportional to the number of tickets? Analyze the values for $5, 10, 15, 20$ tickets.

See Solution

1 ...37 38 39 40 41 42 43 ...63

Data & Statistics

Problem 3901

Determine whether the number described is a statistic or a parameter. The average ACT score of all testers from a local high school is 23. Parameter Statistic

Problem 3902

✓1\checkmark 1✓1 2 3 4 5 6 7 8 9Determine whether the data described are discrete or continuous. The velocity of a pitched baseball. Discrete Continuous

Problem 3903

Problem 3904

Problem 3905

Problem 3906

24,25,44,49,63,77,11024,25,44,49,63,77,11024,25,44,49,63,77,110What is the mean of the values shown?

Problem 3907

Problem 3908

Problem 3909

Problem 3910

Consider the following hypothesis, H0:μ=7, S=5,Xˉ=5,n=46Ha:μ≠7\begin{array}{l} H_{0}: \mu=7, \quad \mathrm{~S}=5, \quad \bar{X}=5, \quad n=46 \\ H_{a}: \mu \neq 7 \end{array}H0​:μ=7, S=5,Xˉ=5,n=46Ha​:μ=7​

Problem 3911

Problem 3912

H0:ρ=0Ha:ρ≠0\begin{array}{l} H_{0}: \rho=0 \\ H_{a}: \rho \neq 0 \end{array}H0​:ρ=0Ha​:ρ=0​If n=13\mathrm{n}=13n=13 and r=−0.4r=-0.4r=−0.4 compute t⋆=rn−21−r2t \star=r \sqrt{\frac{n-2}{1-r^{2}}}t⋆=r1−r2n−2​​

Problem 3913

Problem 3914

Problem 3915

Problem 3916

H0:μ=7,S=4.4,Xˉ=9,n=60Ha:μ≠7\begin{array}{l}H_{0}: \mu=7, \quad S=4.4, \bar{X}=9, n=60 \\ H_{a}: \mu \neq 7\end{array}H0​:μ=7,S=4.4,Xˉ=9,n=60Ha​:μ=7​

Problem 3917

H0:σ=17Ha:σ≠17\begin{array}{l} H_{0}: \sigma=17 \\ H_{a}: \sigma \neq 17 \end{array}H0​:σ=17Ha​:σ=17​Use the following information: n=23n=23n=23, and S=35S=35S=35, to find the test statistic (step 2).

Problem 3918

Problem 3919

Problem 3920

Problem 3921

Problem 3922

Problem 3923

Problem 3924

Create a grouped frequency distribution for these IQ scores: 85-89 for the first class, with equal widths for others.

Problem 3925

Find the five-number summary (Min, Q1, Med, Q3, Max) from this stem & leaf plot: 1|38, 2|256, 3|25, 4|4899, 5|04467, 6103.

Problem 3926

Find the 39th percentile of the sorted data set with n=117n=117n=117. Calculate it as P39=P_{39}=P39​=.

Problem 3927

Find the 64th percentile of a sorted data set with n=117n=117n=117. Calculate P64=P_{64}=P64​=

Problem 3928

Find where to place the missing value of 6 on a seesaw graph, given total distances below and above the mean are 5 and 7, respectively.

Problem 3929

Find the 54th percentile, P54P_{54}P54​, from the data set: 3, 5, 7, 8, 9, 15, 16, 17, 20, 22, 25, 29, 30, 39, 41, 45, 49, 52, 53, 54, 55, 58, 60, 62, 71, 73, 74, 77, 78, 79, 82, 91, 94, 95, 98, 100. Calculate P54P_{54}P54​.

Problem 3930

Find the third quartile for the scores: 90,85,100,50,45,70,60,4090, 85, 100, 50, 45, 70, 60, 4090,85,100,50,45,70,60,40.

Problem 3931

Estimate alcohol and marijuana use by US high school seniors in 2010 using A=−0.9n+88A=-0.9n+88A=−0.9n+88 and M=0.1n+43M=0.1n+43M=0.1n+43.

Problem 3932

In the data set 20,35,40,41,4420,35,40,41,4420,35,40,41,44, is 40 the median, 1st quartile, 50th percentile, or 2nd quartile?

Problem 3933

Find the 50th percentile of the data set: 10,20,30,40,50,6010, 20, 30, 40, 50, 6010,20,30,40,50,60. Options: 30.5, 30, 40, 35.

Problem 3934

Find the first, second, and third quartiles for the data set: 10,15,20,25,30,35,40,45,5010, 15, 20, 25, 30, 35, 40, 45, 5010,15,20,25,30,35,40,45,50.

Problem 3935

Find the 50th percentile of the data set: 10,20,30,40,50,6010, 20, 30, 40, 50, 6010,20,30,40,50,60. Options are 30.5, 30, 35, or 40.

Problem 3936

Find the first quartile for the scores 90,85,100,50,45,70,60,4090, 85, 100, 50, 45, 70, 60, 4090,85,100,50,45,70,60,40. Options: 47.5, 50, 45, 40.

Problem 3937

Find the position of the missing score (orange box) on a graph where total distance below the mean is 5 and above is 7.

Problem 3938

Find the variance, standard deviation, and zzz-score of 15 for the data set: 4,7,2,7,9,10,154,7,2,7,9,10,154,7,2,7,9,10,15. Round to one decimal place.

Problem 3939

Find the range of the data set: 3.1,2.6,7.8,3.5,1.9,2.3,4.8,5.4,3.7,4.53.1, 2.6, 7.8, 3.5, 1.9, 2.3, 4.8, 5.4, 3.7, 4.53.1,2.6,7.8,3.5,1.9,2.3,4.8,5.4,3.7,4.5. Options: 5.9, 5, 6, 5.8.

Problem 3940

Find the range, variance, and standard deviation (1 decimal place) for the data set: 21,23,20,22,2521, 23, 20, 22, 2521,23,20,22,25.

Problem 3941

A gas station attendant tracks 18 customers' gasoline choices. What are the probabilities for each grade?

Problem 3942

Calculate the area of Chicago given its 2017 population of 2,716,450 and a density of 11,898 people per mi².

Problem 3943

Find the increase in Chicago's African American population from 44,103 to 233,903 between 1910 and 1930. Calculate the rate of change.

Problem 3944

What is the theoretical probability of not selecting a heart from a 52-card deck? Express as a fraction: 3952\frac{39}{52}5239​.

Problem 3945

What must be true for the probability of a randomly selected person having blood type A to be P(A)=14P(A)=\frac{1}{4}P(A)=41​? Is this true?

Problem 3946

In a survey of 130 freshmen, how many took only music if: 31 took history, 34 took science, 35 took music, 10 took science and music, 14 took history and music, and 5 took all three?

Problem 3947

Problem 3948

A scientist measures 81.1 cm381.1 \mathrm{~cm}^{3}81.1 cm3; true value is 60.0 cm360.0 \mathrm{~cm}^{3}60.0 cm3. Find absolute and relative error.

$\checkmark 1$ 2 3 4 5 6 7 8 9
Determine whether the data described are discrete or continuous. The velocity of a pitched baseball. Discrete Continuous

$24,25,44,49,63,77,110$
What is the mean of the values shown?

Consider the following hypothesis, $\begin{array}{l} H_{0}: \mu=7, \quad \mathrm{~S}=5, \quad \bar{X}=5, \quad n=46 \\ H_{a}: \mu \neq 7 \end{array}$

$\begin{array}{l} H_{0}: \rho=0 \\ H_{a}: \rho \neq 0 \end{array}$
If $\mathrm{n}=13$ and $r=-0.4$ compute $t \star=r \sqrt{\frac{n-2}{1-r^{2}}}$

$\begin{array}{l}H_{0}: \mu=7, \quad S=4.4, \bar{X}=9, n=60 \\ H_{a}: \mu \neq 7\end{array}$

$\begin{array}{l} H_{0}: \sigma=17 \\ H_{a}: \sigma \neq 17 \end{array}$
Use the following information: $n=23$ , and $S=35$ , to find the test statistic (step 2).

Find the 39th percentile of the sorted data set with $n=117$ . Calculate it as $P_{39}=$ .

Find the 64th percentile of a sorted data set with $n=117$ . Calculate $P_{64}=$

Find the 54th percentile, $P_{54}$ , from the data set: 3, 5, 7, 8, 9, 15, 16, 17, 20, 22, 25, 29, 30, 39, 41, 45, 49, 52, 53, 54, 55, 58, 60, 62, 71, 73, 74, 77, 78, 79, 82, 91, 94, 95, 98, 100. Calculate $P_{54}$ .

Find the third quartile for the scores: $90, 85, 100, 50, 45, 70, 60, 40$ .

Estimate alcohol and marijuana use by US high school seniors in 2010 using $A=-0.9n+88$ and $M=0.1n+43$ .

In the data set $20,35,40,41,44$ , is 40 the median, 1st quartile, 50th percentile, or 2nd quartile?

Find the 50th percentile of the data set: $10, 20, 30, 40, 50, 60$ . Options: 30.5, 30, 40, 35.

Find the first, second, and third quartiles for the data set: $10, 15, 20, 25, 30, 35, 40, 45, 50$ .

Find the 50th percentile of the data set: $10, 20, 30, 40, 50, 60$ . Options are 30.5, 30, 35, or 40.

Find the first quartile for the scores $90, 85, 100, 50, 45, 70, 60, 40$ . Options: 47.5, 50, 45, 40.

Find the variance, standard deviation, and $z$ -score of 15 for the data set: $4,7,2,7,9,10,15$ . Round to one decimal place.

Find the range of the data set: $3.1, 2.6, 7.8, 3.5, 1.9, 2.3, 4.8, 5.4, 3.7, 4.5$ . Options: 5.9, 5, 6, 5.8.

Find the range, variance, and standard deviation (1 decimal place) for the data set: $21, 23, 20, 22, 25$ .

What is the theoretical probability of not selecting a heart from a 52-card deck? Express as a fraction: $\frac{39}{52}$ .

What must be true for the probability of a randomly selected person having blood type A to be $P(A)=\frac{1}{4}$ ? Is this true?

A scientist measures $81.1 \mathrm{~cm}^{3}$ ; true value is $60.0 \mathrm{~cm}^{3}$ . Find absolute and relative error.

A scientist measures $561 \mathrm{g/m}^3$ ; the true value is $400 \mathrm{g/m}^3$ . Find absolute and relative error.

Four teams measured a neutron star's rotation. Given a reliable measurement of $0.310 \mathrm{~s}$ , find the most accurate and precise earlier measurements.

Find the price per bushel of corn using $p(x)=6+0.08 x+0.09 x^{2}$ for $x=0$ to $5$ .

Given sales and prices for Q1 2009 and 2010, find the linear demand function $q(p)$ and predict sales at \$75. For each \$1 price increase, how many units decrease?

Find the linear demand function for cell phones using the 2009 and 2010 data. Predict sales at \$156 and state the decrease per \$1 increase.
$q(p)=$

Find the winning time prediction for 2009 using $y=-0.02274 x+52.77$ and compare it to the actual time of 6.98 min. What is the $x$ -value for 2009? $x=$

Find the predicted winning time for 2009 using $y=-0.02274 x+52.77$ and compare it to the actual time of 6.98 minutes. What is $x$ for 2009? $x=$

Worldwide cell phone sales data for 2009 and 2010 shows prices at \$163 (2009) and \$153 (2010).
(a) Demand equation: $q(p)=-39p+6,472$ . Predict sales at \$156. Round to nearest million.
(b) Sales decrease by 39 million units for each \$1 price increase.

Rita earned a $3\%$ commission on 5 home sales. Calculate her total earnings before taxes from the following prices: \$510,000, \$625,000, \$450,000, \$780,000, \$650,000.

Find the probability of drawing a jack or a black card from a standard deck. Options: $\frac{7}{13}$ , $\frac{4}{52}$ , $\frac{1}{52}$ , $\frac{1}{2}$ .

Find the probability of drawing a 7 or a queen from a standard deck of cards: $P = \frac{2}{13}, \frac{5}{13}, \frac{6}{13}, \frac{1}{13}$ .

Find the probability of rolling a sum of 6 or 10 with two dice: $\frac{4}{9}$ , $\frac{1}{3}$ , $\frac{1}{9}$ , $\frac{2}{9}$ .

What is the probability of rolling a die and getting an even or odd number? Options: 0.75, 0.5, $(1$ , 1, $\bigcirc 0$