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Carmen attends a fashion institute that has no on-campus housing. The distance she commutes between her home and the campus is 19 kilometers. The mean distance commuted to campus among all students at the fashion institute is 15 kilometers with a standard deviation of 6 kilometers. (a) Find the-score of Carmen's commute distance relative to the commute distances among all the students at the institute. Round your answer to two decimal places. ==0 (b) Fill in the blanks to interpret the score of Carmen's commute distance. Make sure to express your answer in terms of a positive number of standard deviations. Carmen's commute distance is standard deviations (Choose one) ▼ the mean commute distance among all students at the institute.

Carmen attends a fashion institute that has no on-campus housing. The distance she commutes between her home and the campus is 19 kilometers. The mean distance commuted to campus among all students at the fashion institute is 15 kilometers with a standard deviation of 6 kilometers. (a) Find the-score of Carmen's commute distance relative to the commute distances among all the students at the institute. Round your answer to two decimal places. ==0 (b) Fill in the blanks to interpret the score of Carmen's commute distance. Make sure to express your answer in terms of a positive number of standard deviations. Carmen's commute distance is standard deviations (Choose one) ▼ the mean commute distance among all students at the institute.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Carmen attends a fashion institute that has no on-campus housing. The distance she commutes between her home and the campus is 19 kilometers. The mean distance commuted to campus among all students at the fashion institute is 15 kilometers with a standard deviation of 6 kilometers. (a) Find the -score of Carmen's commute distance relative to the commute distances among all the students at the institute. Round your answer to two decimal places. == (b) Fill in the blanks to interpret the -score of Carmen's commute distance. Make sure to express your answer in terms of a positive number of standard deviations. Carmen's commute distance is standard deviations (Choose one) the mean commute distance among all students at the institute. X
Transcribed Image Text:Carmen attends a fashion institute that has no on-campus housing. The distance she commutes between her home and the campus is 19 kilometers. The mean distance commuted to campus among all students at the fashion institute is 15 kilometers with a standard deviation of 6 kilometers. (a) Find the -score of Carmen's commute distance relative to the commute distances among all the students at the institute. Round your answer to two decimal places. == (b) Fill in the blanks to interpret the -score of Carmen's commute distance. Make sure to express your answer in terms of a positive number of standard deviations. Carmen's commute distance is standard deviations (Choose one) the mean commute distance among all students at the institute. X
Ahmad has a popular blog about cooking and nutrition and regularly posts articles and videos. He has collected data about the length of time that viewers spent watching two of his recent videos. For each video, he recorded the amount of time (in minutes) that each of 102 viewers spent watching it. The histograms below show the distributions of the two data sets. Each histogram shows time (in minutes) on the horizontal axis and the number of viewers on the vertical axis. The means and standard deviations for the data sets are also given. Video 1 25- 20+ 15+ 10+ 5+ 19.5 24.5 29.5 34.5 39.5 44.5 49.5 54.5 59.5 64.5 69.5 Video 1 mean: 52.05 minutes Video 1 standard deviation: 12.54 minutes 20+ 15+ 10+ 5- Video 2 +₂ 19.5 24.5 29.5 34.5 39.5 44.5 49.5 54.5 59.5 64.5 69.5 (a) Identify the data set for which it is appropriate to use the Empirical Rule. Video 2 mean: 44.25 minutes Video 2 standard deviation: 8.16 minutes Ahmad wants to use the Empirical Rule to make some approximations about both data sets. Unfortunately, it is appropriate to use the Empirical Rule on only one of them! Answer the parts below to help Ahmad with his approximations. It is appropriate to use the Empirical Rule for the (Choose one) ▼ data set. For the data set identified in part (a), use the Empirical Rule to make the following approximations. (b) The percentage of times between 27.93 minutes and 60.57 minutes is approximately (Choose one) (c) Approximately 99.7% of the times are between minutes and minutes. G
Transcribed Image Text:Ahmad has a popular blog about cooking and nutrition and regularly posts articles and videos. He has collected data about the length of time that viewers spent watching two of his recent videos. For each video, he recorded the amount of time (in minutes) that each of 102 viewers spent watching it. The histograms below show the distributions of the two data sets. Each histogram shows time (in minutes) on the horizontal axis and the number of viewers on the vertical axis. The means and standard deviations for the data sets are also given. Video 1 25- 20+ 15+ 10+ 5+ 19.5 24.5 29.5 34.5 39.5 44.5 49.5 54.5 59.5 64.5 69.5 Video 1 mean: 52.05 minutes Video 1 standard deviation: 12.54 minutes 20+ 15+ 10+ 5- Video 2 +₂ 19.5 24.5 29.5 34.5 39.5 44.5 49.5 54.5 59.5 64.5 69.5 (a) Identify the data set for which it is appropriate to use the Empirical Rule. Video 2 mean: 44.25 minutes Video 2 standard deviation: 8.16 minutes Ahmad wants to use the Empirical Rule to make some approximations about both data sets. Unfortunately, it is appropriate to use the Empirical Rule on only one of them! Answer the parts below to help Ahmad with his approximations. It is appropriate to use the Empirical Rule for the (Choose one) ▼ data set. For the data set identified in part (a), use the Empirical Rule to make the following approximations. (b) The percentage of times between 27.93 minutes and 60.57 minutes is approximately (Choose one) (c) Approximately 99.7% of the times are between minutes and minutes. G
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