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a. For which data set, Video 1 or Video 2, is it appropriate to use the Empirical Rule? Explain why. b. Give the shape of the distribution for the Video 1 data set.

a. For which data set, Video 1 or Video 2, is it appropriate to use the Empirical Rule? Explain why. b. Give the shape of the distribution for the Video 1 data set.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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8. Rafael 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 Video 2 25 25 20+ 20+ 15+ 15+ 10+ 10+ 5+ 5+ 0- 19.5 24.5 29.5 34.5 39.5 44.5 49.5 54.5 59.5 64.5 69.5 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 2 mean: 44.25 minutes Video 1 standard deviation: 12.54 minutes Video 2 standard deviation: 8.16 minutes Rafael wants to answer some questions about both data sets and would like to use the Empirical Rule where appropriate. Answer the parts below to help Rafael with his analysis of these data sets. а. For which data set, Video 1 or Video 2, is it appropriate to use the Empirical Rule? Explain why. b. Give the shape of the distribution for the Video 1 data set.
Transcribed Image Text:8. Rafael 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 Video 2 25 25 20+ 20+ 15+ 15+ 10+ 10+ 5+ 5+ 0- 19.5 24.5 29.5 34.5 39.5 44.5 49.5 54.5 59.5 64.5 69.5 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 2 mean: 44.25 minutes Video 1 standard deviation: 12.54 minutes Video 2 standard deviation: 8.16 minutes Rafael wants to answer some questions about both data sets and would like to use the Empirical Rule where appropriate. Answer the parts below to help Rafael with his analysis of these data sets. а. For which data set, Video 1 or Video 2, is it appropriate to use the Empirical Rule? Explain why. b. Give the shape of the distribution for the Video 1 data set.
c. Based on the Empirical Rule, the percentage of times for the Video 2 data set that are between 36.09 minutes and 52.41 minutes is approximately d. Approximately 95% of the times for the Video 2 data set are between minutes and minutes. e. Which data set, Video 1 or Video 2, has the larger variation? (Use a measure of spread to support your answer.)
Transcribed Image Text:c. Based on the Empirical Rule, the percentage of times for the Video 2 data set that are between 36.09 minutes and 52.41 minutes is approximately d. Approximately 95% of the times for the Video 2 data set are between minutes and minutes. e. Which data set, Video 1 or Video 2, has the larger variation? (Use a measure of spread to support your answer.)
Expert Solution
Step 1

It is given that

For video 1, mean = 52.05, SD = 12.54

For video 2, mean = 44.25, SD = 8.16

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