Measures of Spread

Problem 101

Defense / Stats / NBA... Utah vs LA Stats \& P... Ivica Zubac /// Stats /... Home - Northern Ess... Midterm Exam: Ch 1(1,2)2(1,2,3)3(1,2,3)4(1,2)5(1,2,3)6(1,2)1(1,2) \mathbf{2 ( 1 , 2 , 3 )} 3(1,2,3) 4(1,2) 5(1,2,3) \operatorname{6}(1,2) Question 14 of 30 (1 point) I Question Attempt: 1 of 1 Time Rema =1=1 2 =3=3 4 =6=6 7\cong 7 9 10
Find the population variance and standard deviation for the following population. Round the answers to at least two decimal places. Send data to Excel
The population variance is \square .
The population standard deviation is \square .

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Problem 102

Question 15 of 30 (1 point) I Question Attempt: 1 of 1 1\equiv 1 =2=2 3 4 5 6 7 8 9
Following are final exam scores, arranged in increasing order, for students in an introductory statistics course. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline 56 & 58 & 59 & 60 & 61 & 63 & 66 & 67 & 67 & 70 & 73 & 74 & 75 & 75 & 76 \\ \hline 82 & 85 & 86 & 86 & 90 & 91 & 91 & 92 & 92 & 93 & 96 & 96 & 97 & 97 & 98 \\ \hline \end{tabular}
Part: 0/20 / 2
Part 1 of 2 (a) Find the first quartile of the scores.
The first quartile of the scores is \square .

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Problem 103

=4=4 =5=5 =6=6 7\equiv 7 =8=8
For the data set \begin{tabular}{rrrrrrrrrrrr} \hline 3 & 24 & 5 & 9 & 6 & 3 & 4 & 10 & 3 & 5 & 3 & 9 \\ 4 & 7 & 5 & 5 & 11 & 6 & 3 & 4 & 14 & 5 & 8 & 15 \\ \hline \end{tabular}
Send data to Excel
Part: 0/40 / 4
Part 1 of 4 (a) Find the first and third quartiles.
The first quartile is \square .
The third quartile is \square . Next Part (c) 2024 N

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Problem 104

In a simple random sample of 1600 people age 20 and over in a certain country, the proportion with a certain disease was found to be 0.090 (or 9.0%9.0 \% ). Complete parts (a) through (d) below. a. What is the standard error of the estimate of the proportion of all people in the country age 20 and over with the disease? SEest =\mathrm{SE}_{\text {est }}=\square (Round to four decimal places as needed.)

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Problem 105

For the data set
3245963410475341035397551163439 data to  Excel 55815\begin{array}{llllllllllllll} 3 & 24 & 5 & 9 & 6 & 3 & 4 & 10 & & & & \\ 4 & 7 & 5 & & & 3 & 4 & 10 & 3 & 5 & 3 & 9 \\ \hline & 7 & 5 & 5 & 11 & 6 & 3 & 4 & & & 3 & 9 \\ \hline \text { data to } & & \text { Excel } & & & & & & & & 5 & 5 & 8 & 15 \end{array}
List the outliers. If there is more than one outlier, separate them by a comma.
Use "None", if applicable.
Outlier(s): \square None

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Problem 106

You work for a soft-drink company in the quality control division. You are interested in the standard deviation of one of your production lines as a measure of consistency. The product is intended to have a mean of 12 ounces, and your team would like the standard deviation to be as low as possible. You gather a random sample of 18 containers. Estimate the population standard deviation at a 98%98 \% level of confidence. \begin{tabular}{|r|r|r|r|r|r|} \hline 11.99 & 12.13 & 11.86 & 12.01 & 11.95 & 12.11 \\ \hline 11.88 & 11.91 & 12 & 11.98 & 12.09 & 12.13 \\ \hline 11.98 & 11.93 & 12.14 & 12.08 & 11.98 & 12.07 \\ \hline \end{tabular} (Data checksum: 216.22) Note: Keep as many decimals as possible while making these calculations. If possible, keep all answers exact by storing answers as variables on your calculator or computer. a) Find the sample standard deviation: 0.0836×0.0836 \times \square b) Find the lower and upper χ2\chi^{2} critical values at 98%98 \% confidence:
Lower: 6.4077 No66.4077 \mathrm{~N} \mathrm{o}^{6} Upper: 30.1911 x c) Report your confidence interval for σ:(0.0569×,0.1152×)\sigma:(0.0569 \times, 0.1152 \times)

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Problem 107

Given the following data set, show all work to calculate Q1, Q2, Q3, and the IQR. Use an appropriate calculation to determine if there are any outliers. [2K/2A] \begin{tabular}{|l|l|l|l|l|} \hline 27 & 22 & 27 & 39 & 41 \\ \hline 33 & 31 & 28 & 36 & 24 \\ \hline 46 & 29 & 41 & 25 & 32 \\ \hline \end{tabular}

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Problem 108

Consider the below data for ALL PARTS of this question: 68322859454752554750\begin{array}{llllllllll} 68 & 32 & 28 & 59 & 45 & 47 & 52 & 55 & 47 & 50 \end{array}
What is the Range? \qquad Note: Enter X.X AT LEAST ONE DIGIT BEFORE THE DECIMAL, ONE AFTER and round up AFTER all calculations. Thus, 7 is entered as 7.0; -3.562 is entered as -3.6 ; 0.3750 is entered as 0.4;17.3510.4 ; 17.351 is entered as 17.4 \square A

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Problem 109

Consider the below data for ALL PARTS of this question: 68322859454752554750\begin{array}{lllllllll} 68 & 32 & 28 & 59 & 45 & 47 & 52 & 55 & 47 \end{array} 50
What is the First QUARTILE? \qquad Note: Enter X.X AT LEAST ONE DIGIT BEFORE THE DECIMAL, ONE AFTER and round up AFTER all calculations. Thus, 7 is entered as 7.0;3.5627.0 ;-3.562 is entered as -3.6 ; 0.3750 is entered as 0.4;17.3510.4 ; 17.351 is entered as 17.4 \square A

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Problem 110

Consider the below data for ALL PARTS of this question: 68322859454752554750\begin{array}{llllllll}68 & 32 & 28 & 59 & 45 & 47 & 52 & 55 \\ 47 & 50\end{array} Enter an OUTLIER value if any or NONE. \qquad
Note: Enter X.X AT LEAST ONE DIGIT BEFORE THE DECIMAL, ONE AFTER and round up AFTER all calculations. Thus, 7 is entered as 7.0;3.5627.0 ;-3.562 is entered as 0.3750 is entered as 0.4;17.3510.4 ; 17.351 is entered as 17.4 \square A Answer 5

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Problem 111

Consider the below data for ALL PARTS of this question: 7883926885 What is the Range? \qquad Note: Enter X.X AT LEAST ONE DIGIT BEFORE THE DECIMAL, ONE AFTER and round up AFTER all calculations. Thus, 7 is entered as 7.0;3.5627.0 ;-3.562 is entered as -3.6 ; 0.3750 is entered as 0.4;17.3510.4 ; 17.351 is entered as 17.4 \square A

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Problem 112

Consider the below data for ALL PARTS of this question: 788392688578 \quad 83926885
What is the INNER QUARTILE RANGE? \qquad Note: Enter X.X AT LEAST ONE DIGIT BEFORE THE DECIMAL, ONE AFTER and round up AFTER all calculations. Thus, 7 is entered as 7.0; -3.562 is entered as -3.6 ; 0.3750 is entered as 0.4;17.3510.4 ; 17.351 is entered as 17.4 \square A

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Problem 113

Consider the below data for ALL PARTS of this question: 7883926885\begin{array}{lllll} 78 & 83 & 92 & 68 & 85 \end{array}
What is the UPPER OUTLIER BOUNDARY? \qquad
Note: Enter X.X AT LEAST ONE DIGIT BEFORE THE DECIMAL, ONE AFTER and round up AFTER all calculations. Thus, 7 is entered as 7.0;3.5627.0 ;-3.562 is entered as -3.6 ; 0.3750 is entered as 0.4;17.3510.4 ; 17.351 is entered as 17.4 \square A

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Problem 114

Consider the below data for ALL PARTS of this question: 68322859454752554750\begin{array}{lllllllllllll}68 & 32 & 28 & 59 & 45 & 47 & 52 & 55 & 47 & 50\end{array} What is the sample STANDARD DEVIATION? \qquad Note: Enter X.X AT LEAST ONE DIGIT BEFORE THE DECIMAL, ONE AFTER and round up AFTER all calculations. Thus, 7 is entered as 7.0;3.5627.0 ;-3.562 is entered as -3.6 ; 0.3750 is entered as 0.4;17.3510.4 ; 17.351 is entered as 17.4 \square A

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Problem 115

للمفرادات التالية 1,7,12,2,5,17,20,15,16,18,1,4,3,7,9
اوجد : 1.المدى Range
3. الاتحراف المعياري Standard Deviation؟

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Problem 116

السؤال الثاني:
أوجد :
1. المدى ؟
2. التباين ؟
3. الانحراف المعياري ؟

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Problem 117

The list shows the weight in pounds of 6 puppies at birth. 3,1.6,2.8,2.5,1.7,2.83,1.6,2.8,2.5,1.7,2.8
What is the mean absolute deviation of these numbers?

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Problem 118

The box plot below represents some data set. What percentage of the data values are between 22 and 28 ?

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Problem 119

You are given delivery times for 8 products: \begin{tabular}{|l|l|l|l|} \hline & Company A & Company B & Difference \\ \hline Delivery time 1 & 16 & 0 & 16 \\ \hline Delivery time 2 & 16 & 10 & 6 \\ \hline Delivery time 3 & 23 & 5 & 17 \\ \hline Delivery time 4 & 16 & 19 & -3 \\ \hline Delivery time 5 & 15 & 4 & 11 \\ \hline Delivery time 6 & 20 & 9 & 11 \\ \hline Delivery time 7 & 25 & 16 & 9 \\ \hline Delivery time 8 & 15 & 20 & -5 \\ \hline \end{tabular} > difference =c(16,6,17,3,11,11,9,5)> mean(difference)  [1] 7.75> sd (difference) [1]8.084376 difference \begin{array}{l} >\text { difference }=c(16,6,17,-3,11,11,9,-5) \\ >\text { mean(difference) } \\ \text { [1] } 7.75 \\ >\text { sd (difference) } \\ {[1] 8.084376} \end{array} \rightarrow \text { difference } difyerence a) Does company B deliver its products faster than company A? BB is faster than AA b) Do companies have the same delivery time? NO

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Problem 120

Mr. Massey recorded the amount he spent on gas each month to see if it would be cheaper to take the train to work. \begin{tabular}{|l|c|} \hline \multicolumn{2}{|c|}{ Amount Mr. Massey spent on gas } \\ \hline \multicolumn{1}{|}{ Month } & Dollars spent on gas \\ \hline June & $78\$ 78 \\ \hline July & $81\$ 81 \\ \hline August & $78\$ 78 \\ \hline September & $78\$ 78 \\ \hline October & $82\$ 82 \\ \hline \end{tabular}
According to the table, when was the rate of change greater? between August and October between June and September Work it out

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Problem 121

Mr. Hurst, a track coach, recorded the number of runners on all the nearby track teams. \begin{tabular}{|c|c|} \hline -1) ) Number of members & ()) \\ \hline 53 & 3 \\ \hline 91 & 4 \\ \hline 104 & 3 \\ \hline \end{tabular} XX is the number of members that a randomly chosen team has. What is the standard deviation of XX ?
Round your answer to the nearest hundredth. \square Submit Work it out Not feelina readv vet? This can held:

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Problem 122

Lamar started doing sit-ups to prepare for the school fitness test. On 8 days he did: 5 sit-ups 5 sit-ups 6 sit-ups 6 sit-ups 7 sit-ups 7 sit-ups 7 sit-ups 8 sit-ups What was the range of the numbers of sit-ups he did? \square sit-ups Subrgit

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Problem 123

Use the skewed dataset to solve the problem: 5,6,6,7,7,8,8,8,9,9,14,165,6,6,7,7,8,8,8,9,9,14,16. What number is Quartile 3? (1 point) 5 6.5 8 9

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Problem 124

Here is the five-number summary for the distribution of a cigarette tax (in cents) for all the states in a certain country Use this information to answer parts a through d.  Minimum =8, Q1 =37, Median =52, Q3 =97, Maximum =163\text { Minimum }=8, \text { Q1 }=37, \text { Median }=52, \text { Q3 }=97, \text { Maximum }=163 a. About what proportion of the states have cigarette taxes (i) greater than 37 cents and (ii) greater than 97 cents? (i) About \square %\% of the states have cigarette taxes greater than 37 cents

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Problem 125

\begin{tabular}{|l|l|} \hline Grades & Frequency \\ \hline 506450-64 & 2 \\ \hline 657465-74 & 4 \\ \hline 758075-80 & 1 \\ \hline 818581-85 & 5 \\ \hline 859485-94 & 8 \\ \hline 9510095-100 & 6 \\ \hline \end{tabular}
The table represents the data in a histogram. What is the range of the data? (1 point) 50 80 85 100

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Problem 126

The following dataset represents the number of eggs laid in the chicken coop each day for the past week. 5,8,0,3,2,7,45,8,0,3,2,7,4
What is the value of Q1? (1 point) 0 2 7 8

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Problem 127

What percentage of the quality sample is outside tolerance? \begin{tabular}{|l|r|} \hline \multicolumn{2}{|c|}{ Quality Sample } \\ \hline Within Tolerance & 127 units \\ \hline Outside Tolerance & 3 units \\ \hline \end{tabular}
Percentage Outside Tolerance = [?
Round to the nearest percent.

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Problem 128

What percentage of the quality sample is outside tolerance? \begin{tabular}{|l|r|} \hline \multicolumn{2}{|c|}{ Quality Sample } \\ \hline Within Tolerance & 42 units \\ \hline Outside Tolerance & 3 units \\ \hline \end{tabular}
Percentage Outside Tolerance == [?]\%
Round to the nearest percent.

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Problem 129

v1=2v 1\rangle=2 3 4 5 6 7 8 9 10 11 12 Espafic
Let's go to the movies: A random sample of 44 Hollywood movies made in the last 10 years had a mean length of 131.1 minutes, with a standard deviation of 12.7 minutes.
Part: 0/20 / 2 \square
Part 1 of 2 (a) Construct a 99%99 \% confidence interval for the true mean length of all Hollywood movies in the last 10 years. Round the answers to at least one decimal place.
A 99%99 \% confidence interval for the true mean length of all Hollywood movies made in the last 10 years is \square <μ<<\mu< \square .

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Problem 130

Eat your cereal: Boxes of cereal are labeled as containing 14 ounces. Following are the weights, in ounces, of a sample of 16 boxes. It is reasonable to assume that the population is approximately normal. \begin{tabular}{llllllll} \hline 14.07 & 13.99 & 14.16 & 14.17 & 14.15 & 14.07 & 14.13 & 13.99 \\ 14.03 & 14.02 & 14.09 & 14.10 & 14.20 & 14.18 & 14.04 & 14.03 \\ \hline \end{tabular} Send data to Excel
Part: 0/20 / 2
Part 1 of 2 (a) Construct a 98%98 \% confidence interval for the mean weight. Round the answers to at least three decimal places.
A 98\% confidence interval for the mean weight is \square <μ<<\mu< \square .

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Problem 131

Stacked
An NHANES report gives data for 641 men aged 202920-29 years. The BMI of these 641 men was xˉ=25.6\bar{x}=25.6. On the basis of this sample, we want to estimate the BMI μ\mu in the population of all 23.2 million American men in this age group. Treat these data as an SRS from a Normally distributed population with standard deviation σ=7.2\sigma=7.2.
Source adapted from: Adapted from Fryar C. D., et al, Anthropometric reference data for children and adults: United States, 2011-2014. National Center for Health
Find the margins of error for 99%99 \% confidence based on SRSs of 365 young men and 1581 young men. Give your answers to four decimal places. margin of error when n=365n=365 : 0.9715 margin of error when n=1581\boldsymbol{n}=1581 : 0.3606

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Problem 132

An NHANES report gives data for 641 men aged 202920-29 years. The BMI of these 641 men was xˉ=25.6\bar{x}=25.6. On the basis of this sample, we want to estimate the BMI μ\mu in the population of all 23.2 million American men in this age group. Treat these data as an SRS from a Normally distributed population with standard deviation σ=7.2\sigma=7.2.
Source adapted from: Adapted from Fryar C. D., et al., Anthropometric reference data for children and adults: United States, 2011-2014. National Center for Health Statistics. Vital Health Statistics 3(2016), at htips:/www. ode.gov/nchs/data/ series/mr_04sr03_039.pAf.
Compare the three margins of error. How does increasing the sample size change the margin of error of a confidence interval when the confidence level and population standard deviation remain the same? Margin of error remains the same as nn increases. Margin of error is unaffected by the sample size nn. Margin of error increases as nn increases. Margin of error decreases as nn increases.

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Problem 133

Part 1 of 2 Points: 0 of 1
The heights of fully grown trees of a specific species are normally distributed, with a mean of 66.0 feet and a standard deviation of 7.00 feet Random samples of size 10 are drawn from the population. Use the central limit theorem to find the mean and standard error of the sampling distribution. Then sketch a graph of the sampling distribution.
The mean of the sampling distribution is μx=\mu_{\mathrm{x}}= \square .
The standard error of the sampling distribution is σxˉ=\sigma_{\bar{x}}= \square (Round to two decimal places as needed) Clear all Check answ

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Problem 134

Describe what the mean absolute deviation of the maximum speed of 8 roller coasters represents.

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Problem 135

The heights of fully grown trees of a specific species are normally distributed, with a mean of 52.5 feet and a standard deviation of 5.75 feet. Random samples of size 17 are drawn from the population. Use the central limit theorem to find the mean and standard error of the sampling distribution. Then sketch a graph of the sampling distribution.
The mean of the sampling distribution is μxˉ=\mu_{\bar{x}}= \square 7.
The standard error of the sampling distribution is σxˉ=\sigma_{\bar{x}}= \square (Round to two decimal places as needed.)

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Problem 136

Select the correct answer from each drop-down menu. The table shows the hourly cookie sales by students in grades 7 and 8 at the school's annual bake sale \begin{tabular}{|c|c|} \hline Grade 7 & Grade 8 \\ \hline 20 & 21 \\ \hline 15 & 29 \\ \hline 30 & 14 \\ \hline 24 & 19 \\ \hline 18 & 24 \\ \hline 21 & 25 \\ \hline \end{tabular}
The interquartile range for the grade 7 data is \square The interquartile range for the grade 8 data is \square The difference of the medians of the two data sets is \square The difference is about \square times the interquartile range of either data set. Reset Next

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Problem 137

Determine whether the statements in parts a) and b) are true or false. Explain your answer in words, or give appropriate counterexamples to support your answers. a. The standard deviation of the set of numbers 4,4,4,4,4,4,4,4-4,4,-4,4,-4,4,-4,4 is zero. Select the correct answer below and, if necessary, fill in the answer box to complete your choice. A. False. The standard deviation of the given set of numbers is \square B. True. The standard deviation of the given set of numbers is 0 .

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Problem 138

The mean of the math scores is found by adding the values in the data set and dividing by 6 . 88+89+93+97+97+1006=5646=94\frac{88+89+93+97+97+100}{6}=\frac{564}{6}=94
The mean of the math scores is 94 . The mean of the history scores is found by adding the values in the data set and dividing by 5 . 70+81+89+95+1005=4355=87\frac{70+81+89+95+100}{5}=\frac{435}{5}=87
The mean of the history scores is 87 .
Next, determine the absolute deviation of each score to find the mean absplute deviation. Enter your answers in the boxes based on the sets of data. Round your answers to the nearest whole number.
The mean absolute deviation of the math scores is \square .
The mean absolute deviation of the history scores is \square

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Problem 139

Jayden's report card shows the points he received in each subject for the autumn term. \begin{tabular}{l|l} \hline Subject & Total points \\ \hline English & 95 \\ \hline History & 91 \\ \hline Math & 97 \\ \hline Science & 96 \\ \hline Spanish & 91 \end{tabular}
What is the mean absolute deviation of the data set? Enter your answer in the box. Round to the nearest tenth, if necessary. \square points

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Problem 140

Determine the outliers in the following data set. \begin{tabular}{|l|l|l|l|l|l|l|l|} \hline 79 & 60 & 76 & 94 & 93 & 92 & 99 & 39 \\ \hline \end{tabular}
Data value outside the range \square \square

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Problem 141

A fair coin is tossed six times. Find the mean, variance and standard deviations of number of heads obtained. (Round the answers upto 3 decimal places)
Click here to enter an

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Problem 142

Match each of the normal curves to its mean μ\mu and standard deviation σ\sigma.
Part 1 of 2 (a)
Normal curve with \square (Choose one) μ=4,σ=1μ=4,σ=3\begin{array}{ll} \mu=4, & \sigma=1 \\ \mu=4, & \sigma=3 \end{array}

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Problem 143

Consider the dataset: 12,18,18,19,20,22,23,23,23,23,25,3012,18,18,19,20,22,23,23,23,23,25,30
Find the lower quartile (Q1)\left(Q_{1}\right). 3.25×18.53.25 \times 18.5
Find the upper quartile (Q3)\left(Q_{3}\right). 60.1×2360.1 \times 23
Find the interquartile range (IQR).

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Problem 144

For any set of data, what must be done to the data before percentiles can be determined?
Choose the correct answer below. A. The data must be summed. B. The data must be ranked. C. The quartiles of the data set must be found. D. The frequency of each piece of data must be found.

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Problem 145

6. Metabolic rate, the rate at which the body consumes energy, is important in studies of weight gain, dieting, and exercise. We have data on lean body mass and resting metabolic rate for 12 women who are subjects in a dieting study. Lean body mass, given in kilograms, is a person's weight leaving out all fat. Metabolic rate is measured in calories burned per 24 hours. The scatterplot shows the relationship between metabolic rate and lean body mass. The correlation is r=0.88r=0.88 a) What would be the value of the correlation if metabolic rate was plotted on the horizontal axis and lean body mass was plotted on the vertical axis. The direction woulo be regat b) What would be the value of the correlation if lean body mass was measured in pounds instead of kilograms? c) Howard claims that the correlation between metabolic rate and lean body mass is r=0.88cal/kgr=0.88 \mathrm{cal} / \mathrm{kg}.
Is this correct?

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Problem 146

18. A population has a mean of 200 and a standard deviation of 50 . A sample of size 1 will be taken and the sample mean xˉ\bar{x} will be used to estimate the population mean. a. What is the expected value of xˉ\bar{x} ? b. What is the standard deviation of xˉ\bar{x} ? c. Show the sampling distribution of xˉ\bar{x}. d. What does the sampling distribution of xˉ\bar{x} show?

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Problem 147

Each dot in the following dot plot represents the number of chocolate chips in a single cookie in that box. a. Find the median of the data set:
Answer: Blank 1 b. Find the range of the data set:
Answer: Blank 2 c. Find the interquartile range:
Answer: Blank 3

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Problem 148

Kendra, a doctor's office receptionist, tracked the average waiting time at the office each month. \begin{tabular}{|l|c|} \hline \multicolumn{2}{|c|}{ Average waiting time at a doctor's office } \\ \hline \multicolumn{1}{|}{ Month } & Waiting time (minutes) \\ \hline August & 14 \\ \hline September & 18 \\ \hline October & 15 \\ \hline November & 14 \\ \hline December & 13 \\ \hline \end{tabular}
According to the table, when was the rate of decrease greater? between October and November between August and December Submit

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Problem 149

Each year the Hillsboro School District publishes its annual budget, which includes information on the sports program's per-student spending. \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{ Hillsboro School District sports budget } \\ \hline Year & Per-student budget \\ \hline 2010 & $40\$ 40 \\ \hline 2011 & $23\$ 23 \\ \hline 2012 & $31\$ 31 \\ \hline 2013 & $41\$ 41 \\ \hline 2014 & $41\$ 41 \\ \hline \end{tabular}
According to the table, when was the rate of change greater? between 2011 and 2012 between 2013 and 2014

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Problem 150

Before purchasing season passes for its members, a university ski club looked up the amount of snowpack at a particular ski resort. \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{ Ski resort snowpack } \\ \hline Year & Amount of snow (in) \\ \hline 2014 & 347 \\ \hline 2015 & 479 \\ \hline 2016 & 398 \\ \hline 2017 & 357 \\ \hline 2018 & 334 \\ \hline \end{tabular}
According to the table, when was the rate of decrease greater? between 2015 and 2016 between 2017 and 2018 Submit Next up

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Problem 151

The range of a data set can be found by... finding the sum of the numbers and then dividing by the total choosing the middle choosing the number amount of numbers in number that occurs most subtracting the the data set minimum from the maximum Anjeska

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Problem 152

check camden and Logan record their resting heart rates each morning for ten days. The double line plot shows their heart rates in beats per minute. For Logan, the mean and median are 71 , the range is 8 and the lQR\operatorname{lQR} is 2 . For Camden, the mean and median are 65, the range is 4 , and the IQR is 2 . Use the measures of center and variation of these samples to select the person(s) to which each statement applies.
Heart Rate (bpm) \begin{tabular}{|l|l|l|} \cline { 2 - 3 } \multicolumn{1}{l|}{\begin{tabular}{l} This person is likely to have a lower heart \\ rate on a randomly selected day. \end{tabular}} & & Camden \\ \hline The line plot is symmetric. & & \\ \hline \begin{tabular}{l} This person is likely to have a higher heart \\ rate on a randomly selected day. \end{tabular} & & \\ \hline \begin{tabular}{l} The distribution of the data set is more \\ spread out. \end{tabular} & & \\ \hline \begin{tabular}{l} This person is more likely to have a heart \\ rate of 65 bpm on a randomly selected day. \end{tabular} & & \\ \hline \end{tabular}

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Problem 153

Consider the boxplot below. a. What quarter has the smallest spread of data \checkmark Select an answer First b. What is that spread? Second \square Third Fourth c. What quarter has the largest spread of data? Select an answer d. What is that spread? \square e. Find the Inter Quartile Range (IQR): \square f. Which interval has the most data in it? \square Select an answer g. What value could represent the 55th percentile? \square ??

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Problem 154

The boxplot below shows salaries for Construction workers and Teachers.
Jennie makes the first quartile salary for a construction worker. Markos makes the third quartile salary for a teacher. Who makes more money? Markos Jennie How much more? \ \square$

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Problem 155

10.91
The list shows the running time in minutes for two kinds of movies. Find the mean absolute deviation for each set of data. Round to the nearest hundredth. each data value an You can \qquad absolute deviation A data set with a data values that a to the mean. \begin{tabular}{|c|c|} \hline Comedy & Drama \\ \hline 90 & 115 \\ \hline 95 & 120 \\ \hline 88 & 150 \\ \hline 100 & 135 \\ \hline 98 & 144 \\ \hline \end{tabular}

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Problem 156

Question 19, 7.2.17-T Part 1 of 2 24 points Points: 0 of 1 Save
Samples of DNA are collected, and the four DNA bases of A, G, C, and T are coded as 1, 2,3, and 4, respectively. The results are listed below. Construct a 99%99 \% confidence interval estimate of the mean. What is the practical use of the confidence interval? 2,2,1,4,3,3,3,3,4,12,2,1,4,3,3,3,3,4,1
What is the confidence interval for the population mean μ\mu ? \square <μ<<\mu< \square (Round to one decimal place as needed.) example Get more help - Clear all Check answer

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Problem 157

\begin{tabular}{|l|l|} \hline Data point xx & Distance from the mean Squared xμ2|x-\mu|^{\wedge} 2 \\ \hline 6 & Example: 682=22=22=4|6-8|^{\wedge} 2=|-2|^{\wedge} 2=2^{\wedge} 2=4 \\ \hline 13 & Answer: Blank 2 \\ \hline 8 & Answer: Blank 3 \\ \hline \end{tabular}
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Hello! It seems like there is a table showing data points and the squared distance of each point from the mean. To help you solve this, I would need the mean of the data set or the missing calculations in the table. Could you please provide the mean of the data points or let me know which calculations you need help with? Once I have that information, I can help you fill in the blanks in the table. 6, 5, 13, 8

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Problem 158

\begin{tabular}{|l|l|l|} \hline State of economy & Probability & Fund Return \\ \hline Rapid expansion and recovery & 5%5 \% & 100%100 \% \\ \hline Modest growth & 30%30 \% & 35%35 \% \\ \hline Continued recession & 55%55 \% & 5%5 \% \\ \hline Falls into depression & 10%10 \% & 100%-100 \% \\ \hline \end{tabular}
Calculate the standard deviation in the anticipated returns found in Problem 8-1.

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Problem 159

Find the range and standard deviation of the set of data. 11,8,7,13,2111,8,7,13,21 \square
The range is \square (Simplify your answer.)

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Problem 160

Find the range and standard deviation of the set of data. 160,162,164,166,168,170,172 ㅁ. 160,162,164,166,168,170,172 \text { ㅁ. }
The range is 12 (Simplify your answer.) The standard deviation is \square (Round the final answer to the nearest hundredth as needed. Round all intermediate values to the nearest hundredth as needed)

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Problem 161

Find the range and standard deviation of the set of data. 8,11,8,11,11,13,158,11,8,11,11,13,15 \square
The range is 7 . (Simplify your answer.) The standard deviation is \square (Round the final answer to the nearest hundredth as needed. Round all intermediate values to the nearest hundredth as needed.)

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Problem 162

Find the range and standard deviation of the set of data. 8,11,8,11,11,13,158,11,8,11,11,13,15 \qquad The range is 7 . (Simplify your answer.) The standard deviation is \square (Round the final answer to the nearest hundredth as needed. Round all intermediate values to the nearest hundredth as needed.)

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Problem 163

Determine the range and standard deviation of the prices of digital cameras shown below. $160,$93,$177,$179,$97,$129,$230,$303\$ 160, \$ 93, \$ 177, \$ 179, \$ 97, \$ 129, \$ 230, \$ 303-
The range of the prices is $\$ \square (Simplify your answer.)

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Problem 164

Determine the range and standard deviation of the prices of digital cameras shown below. $160,$93,$177,$179,$97,$129,$230,$303\$ 160, \$ 93, \$ 177, \$ 179, \$ 97, \$ 129, \$ 230, \$ 303
The range of the prices is $210\$ 210. (Simplify your answer.) The standard deviation of the prices is $\$ \square (Round the final answer to the nearest cent as needed. Round all intermediate values to the nearest cent as needed.)

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Problem 165

Six people were asked to determine the amount of money they were carrying, to the nearest dollar. The results are shown below. Complete parts a and b\mathbf{b}. $30,$60,$14,$27,$3,$64\$ 30, \$ 60, \$ 14, \$ 27, \$ 3, \$ 64 a) Determine the range and standard deviation of the amounts.
The range of the amounts is $\$ \square (Simplify your answer.)

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Problem 166

Six people were asked to determine the amount of money they were carrying, to the nearest dollar. The results are shown below. Complete parts a and b. $30,$60,$14,$27,$3,$64\$ 30, \$ 60, \$ 14, \$ 27, \$ 3, \$ 64 \square a) Determine the range and standard deviation of the amounts.
The range of the amounts is $61\$ 61. (Simplify your answer.) The standard deviation of the amounts is $24.48\$ 24.48. (Round the final answer to the nearest cent as needed. Round all intermediate values to the nearest cent as needed.) b) Add $15\$ 15 to each of the six amounts. Determine the range and standard deviation of the new amounts.
The range of the new amounts is $61\$ 61 (Simplify your answer.) The standard deviation of the new amounts is $\$ \square (Round the final answer to the nearest cent as needed. Round all intermediate values to the nearest cent as needed.)

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Problem 167

Six people were asked to determine the amount of money they were carrying, to the nearest dollar. The results are shown below. Complete parts a and b. $30,$60,$14,$27,$3,$64\$ 30, \$ 60, \$ 14, \$ 27, \$ 3, \$ 64 a) Determine the range and standard deviation of the amounts.
The range of the amounts is $61\$ 61. (Simplify your answer.) The standard deviation of the amounts is $24.48\$ 24.48. (Round the final answer to the nearest cent as needed. Round all intermediate values to the nearest cent as needed.) b) Add $15\$ 15 to each of the six amounts. Determine the range and standard deviation of the new amounts.
The range of the new amounts is $61\$ 61. (Simplify your answer.) The standard deviation of the new amounts is $\$ \square \square (Round the final answer to the nearest cent as needed. Round all intermediate values to the nearest cent as needed.)

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Problem 168

Use the five numbers 14,15,16,1814,15,16,18, and 12 to complete parts a) through e) below. a) Compute the mean and standard deviation of the given set of data.
The mean is xˉ=15\bar{x}=15 and the standard deviation is s=2.24\mathrm{s}=2.24. (Round to two decimal places as needed.) b) Add 15 to each of the numbers in the original set of data and compute the mean and the standard deviation of this new set of data.
The new mean is xˉ=\bar{x}= \square and the new standard deviation is s=s= \square 1. (Round to two decimal places as needed.)

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Problem 169

The following data points are last week's revenues (in thousands of dollars) for the 5 Herman's Hoagies locations. 5,6,5,10,95,6,5,10,9
Find the standard deviation of the data set. Round your answer to the nearest hundredth. \square thousand dollars

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Problem 170

5. The following graph summarizes the ages of death of 1,213 American Chesnut Trees. The standard deviation is 0.4 years, while the average of the population is 3.2 years. What percent of the trees live longer than 4 years? How many trees is that?

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Problem 171

If the SD is 6 and the sample size is 25 , then the SE of the sample mean is \qquad
Select one: a. 4.167 b. 0.24 c. 0.833 d. 1.2
Clear my choice

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Problem 172

Which of the following does not reveal the variation (spread) of the data? the 5 number summary the range standard deviation the median all of the above show spread Check Answer

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Problem 173

GPA: The mean GPA at a certain university is 2.88 . Following are GPAs for a random sample of 18 business students from this university. \begin{tabular}{lllllllll} \hline 2.20 & 2.54 & 2.95 & 2.84 & 3.58 & 2.65 & 3.58 & 3.20 & 3.47 \\ 3.85 & 3.45 & 2.54 & 3.75 & 3.85 & 3.14 & 2.45 & 3.78 & 2.45 \\ \hline \end{tabular} Send data to Excel
Part: 0/60 / 6
Part 1 of 6 (a) Following is a boxplot of the data. Is it reasonable to assume that the population is approximately normal?
The boxplot shows that it is (Choose one) \boldsymbol{\nabla} to assume that the population is approximately normal.

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Problem 174

Question Watch Video Show Examples
Which of the following regressions represents the weakest linear relationship between x and y ? \begin{tabular}{llll} Regression 1 & Regression 2 & Regression 3 & Regression 4 \\ \hliney=ax+by=a x+b & y=ax+by=a x+b & y=ax+by=a x+b & y=ax+by=a x+b \\ a=19.4a=-19.4 & a=5.8a=5.8 & a=19.5a=-19.5 & a=6.9a=6.9 \\ b=17.7b=17.7 & b=16.7b=16.7 & b=0.6b=-0.6 & b=13.4b=13.4 \\ r=0.7037r=-0.7037 & r=0.3984r=0.3984 & r=0.296r=-0.296 & r=0.2412r=0.2412 \end{tabular}
Answer Regression 1 Regression 2 Submit Answer Regression 3 Regression 4

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Problem 175

Find the population variance and standard deviation for the following population. Round the answers to at least one decimal place. 166201225\begin{array}{lllll}16 & 6 & 20 & 12 & 25\end{array}
Send data to Excel
The population variance is \square .
The population standard deviation is \square

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Problem 176

Find scores at 1, 2, and 3 standard deviations above the mean for: a. μ=13.2\mu=13.2, σ=4.2\sigma=4.2; b. μ=86.1\mu=86.1, σ=12.5\sigma=12.5; c. μ=521.4\mu=521.4, σ=81.7\sigma=81.7.

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Problem 177

Find the score's location xx from the mean using standard deviation for these cases: a. x=31.2x=31.2, μ=23.5\mu=23.5, σ=8.3\sigma=8.3; b. x=151.4x=151.4, μ=187.4\mu=187.4, σ=50.1\sigma=50.1; c. x=301.21x=301.21, μ=257.89\mu=257.89, σ=34.71\sigma=34.71.

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Problem 178

Is a 24.7-second 100-m dash satisfactory if last year's average was μ=28.5\mu=28.5 and σ=3.1\sigma=3.1? Explain.

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Problem 179

Find the mean and standard deviation for these data sets: a. Set AA: below 12.3, above 17.8. b. Set BB: below 3.51, above 41.16. c. Set CC: below 12.41, above 35.12.

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Problem 180

Check if XX is an outlier for these sets: a. μ=12.3,σ=2.1,X=8.0\mu=12.3, \sigma=2.1, X=8.0 b. μ=21.75,σ=7.4,X=15.13\mu=21.75, \sigma=7.4, X=15.13 c. μ=51.13,σ=5.41,X=41.75\mu=51.13, \sigma=5.41, X=41.75 d. μ=14.13,σ=1.3,X=10.1\mu=14.13, \sigma=1.3, X=10.1

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Problem 181

Describe a distribution that is NOT normally distributed.

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Problem 182

Find the scores at 1, 2, and 3 standard deviations above the mean for: a. μ=13.2\mu=13.2, σ=4.2\sigma=4.2; b. μ=86.1\mu=86.1, σ=12.5\sigma=12.5; c. μ=521.4\mu=521.4, σ=81.7\sigma=81.7.

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Problem 183

Calculate the inflation rate from 2015 to 2016 using CPI: Inflation Rate=CPI2016CPI2015CPI2015×100 \text{Inflation Rate} = \frac{CPI_{2016} - CPI_{2015}}{CPI_{2015}} \times 100

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Problem 184

Mike wants to evaluate Hi-Tech Inc. stock. Calculate annual returns from 2009 to 2012, find standard deviation, and determine if the coefficient of variation is below 0.90 for investment.

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Problem 185

Jamie Wong wants to build a portfolio with stocks L (40%) and M (60%). Calculate:
a. Expected return rpr_{p} for each year (2013-2018). b. Average return rˉp\bar{r}_{p} over 6 years. c. Standard deviation σrp\sigma_{r_{p}} over 6 years. d. Correlation of returns for stocks L and M. e. Benefits of diversification in the portfolio.

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Problem 186

Jamie Wong's portfolio has stocks L (40%) and M (60%). Calculate: a) annual return rpr_{p}, b) average return rˉp\bar{r}_{p}, c) standard deviation σrp\sigma_{r_{p}}, d) correlation of returns, e) diversification benefits.

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Problem 187

Find the relative error of a car's speed measured as 48 km/h48 \mathrm{~km} / \mathrm{h}, rounded to the nearest km/h\mathrm{km} / \mathrm{h}.

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Problem 188

A jogging track is 500 m500 \mathrm{~m} long with a 0.1%0.1 \% error. What is the scale interval of the measuring tool?

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Problem 189

Find the max absolute error, measured time, and percentage error for tt with 25.465t<25.47525.465 \leq t < 25.475.

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Problem 190

Find the percentage error in measuring an elephant's weight, capped at 5825 kg5825 \mathrm{~kg}, with a 10 kg10 \mathrm{~kg} scale.

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Problem 191

Find the score's position xx relative to the mean using standard deviation for: a. x=31.2x=31.2, μ=23.5\mu=23.5, σ=8.3\sigma=8.3; b. x=151.4x=151.4, μ=187.4\mu=187.4, σ=50.1\sigma=50.1; c. x=301.21x=301.21, μ=257.89\mu=257.89, σ=34.71\sigma=34.71.

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Problem 192

Find how many standard deviations each score xx is from the mean μ\mu for the given distributions.

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Problem 193

Find the ZZ-score for these Math test scores: mean = 36, standard deviation = 8. Scores: 26, 39, 42, 32, 37.

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Problem 194

Find the ZZ-score for a student who scored 74 on a test with an average of 80 and a standard deviation of 6.

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Problem 195

Determine if a 100-m dash time of 24.7 seconds is satisfactory given μ=28.5\mu=28.5 and σ=3.1\sigma=3.1.

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Problem 196

Check if XX is an outlier using μ\mu and σ\sigma for these scores: a. X=8.0X=8.0, μ=12.3\mu=12.3, σ=2.1\sigma=2.1; b. X=15.13X=15.13, μ=21.75\mu=21.75, σ=7.4\sigma=7.4; c. X=41.75X=41.75, μ=51.13\mu=51.13, σ=5.41\sigma=5.41; d. X=10.1X=10.1, μ=14.13\mu=14.13, σ=1.3\sigma=1.3.

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Problem 197

Find Patrick's ZZ-score if he scored 85 on a test with a mean of 100 and a standard deviation of 15.

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Problem 198

Evaluate investments X, Y, Z against a return of 12%12\% and 6%6\% SD. Choose based on risk preferences: neutral, averse, seeking.

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Problem 199

Sharon Smith evaluates investments X, Y, Z against a 12% return and 6% risk. Determine selections for risk neutral, averse, and seeking.

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Problem 200

Find the z\mathrm{z}-score for x=7\mathrm{x}=7 given that the mean of X\mathrm{X} is 4 and the standard deviation is 2.

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