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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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

Note : According to our guidelines we are solving only first three sub parts of a question and the rest parts may be reposted.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman