(a) The following ANOVA table gives a summary of such an ANOVA test. Fill in the missing cell in the table (rounded to two decimal places). Degrees of freedom Source of Sum of Mean square F statistic ? variation squares Treatments 4 3209.01 802.25 (between groups) Error (within groups) 215 94,380.7 438.98 Total 219 97,589.71 (b) How many days total were sampled for the manager's experiment? (c) For the ANOVA test, it is assumed that the variance is the same for each population of daily sales (that is, for the populations of daily sales for each location). What is an unbiased estimate of this common population variance based on the sample variances? (d) What is the p-value corresponding to the F statistic for the ANOVA test? Round your answer to at least three decimal places.

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
Emma's On-the-Go, a large convenience store, has to decide where in the store to put its magazine rack. The manager at Emma's experiments with a selection
of different locations, choosing a sample of days at each location. Each day, the manager records the amount of money brought in from the sale of magazines.
It's possible to test whether there is a difference in the mean daily sales for the different locations by doing a one-way, independent-samples ANOVA test. The
variable of interest is the daily sales, in dollars, from magazines at Emma's. In the ANOVA test, the "groups" are the different locations, and the "samples" are
the daily magazine sales actually examined by the manager.
(a) The following ANOVA table gives a summary of such an ANOVA test. Fill in the missing cell in the table (rounded to two decimal places).
Degrees of
freedom
Source of
Sum of
Mean square F statistic
variation
squares
Treatments
(between
groups)
4
3209.01
802.25
Error
215
94,380.7
438.98
(within
groups)
Total
219
97,589.71
(b) How many days total were sampled for the manager's experiment?
(c) For the ANOVA test, it is assumed that the variance is the same for each population of daily sales (that is, for the populations of daily sales for each
location). What is an unbiased estimate of this common population variance based on the sample variances?
(d) What is the p-value corresponding to the F statistic for the ANOVA test? Round your answer to at least three decimal places.
(e) Can we conclude, using the 0.05 level of significance, that there is a difference in the mean daily sales among the different locations?
O Yes
O No
Transcribed Image Text:Emma's On-the-Go, a large convenience store, has to decide where in the store to put its magazine rack. The manager at Emma's experiments with a selection of different locations, choosing a sample of days at each location. Each day, the manager records the amount of money brought in from the sale of magazines. It's possible to test whether there is a difference in the mean daily sales for the different locations by doing a one-way, independent-samples ANOVA test. The variable of interest is the daily sales, in dollars, from magazines at Emma's. In the ANOVA test, the "groups" are the different locations, and the "samples" are the daily magazine sales actually examined by the manager. (a) The following ANOVA table gives a summary of such an ANOVA test. Fill in the missing cell in the table (rounded to two decimal places). Degrees of freedom Source of Sum of Mean square F statistic variation squares Treatments (between groups) 4 3209.01 802.25 Error 215 94,380.7 438.98 (within groups) Total 219 97,589.71 (b) How many days total were sampled for the manager's experiment? (c) For the ANOVA test, it is assumed that the variance is the same for each population of daily sales (that is, for the populations of daily sales for each location). What is an unbiased estimate of this common population variance based on the sample variances? (d) What is the p-value corresponding to the F statistic for the ANOVA test? Round your answer to at least three decimal places. (e) Can we conclude, using the 0.05 level of significance, that there is a difference in the mean daily sales among the different locations? O Yes O No
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

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