Problem 3. (5166) A study was conducted to determine whether the age of customers is related to the type of movie he or she watches. A sample is shown in the following table. Age 12-20 21-40 41 and over (b) Documentary 33 45 43 Comedy 29 46 60 Mystery 28 69 57 (a) Given that the total sample size n = 410 is fixed, what is the distribution of the nine categories? What are the mean value and variance of each cell frequency? Run a chi-square test of independence and draw your conclusion. Use a = 0.05. Note: A small chi-square table may be found on page 6. Run a chi-square test of "Comedy" versus "Mystery". Use a = 0.05.
Problem 3. (5166) A study was conducted to determine whether the age of customers is related to the type of movie he or she watches. A sample is shown in the following table. Age 12-20 21-40 41 and over (b) Documentary 33 45 43 Comedy 29 46 60 Mystery 28 69 57 (a) Given that the total sample size n = 410 is fixed, what is the distribution of the nine categories? What are the mean value and variance of each cell frequency? Run a chi-square test of independence and draw your conclusion. Use a = 0.05. Note: A small chi-square table may be found on page 6. Run a chi-square test of "Comedy" versus "Mystery". Use a = 0.05.
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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Transcribed Image Text:### Problem 3. (5166)
A study was conducted to determine whether the age of customers is related to the type of movie he or she watches. A sample is shown in the following table:
| Age | Documentary | Comedy | Mystery |
|--------------|-------------|--------|---------|
| 12-20 | 33 | 29 | 28 |
| 21-40 | 45 | 46 | 69 |
| 41 and over | 43 | 60 | 57 |
(a) Given that the total sample size \( n = 410 \) is fixed, what is the distribution of the nine categories? What are the mean value and variance of each cell frequency? Run a chi-square test of independence and draw your conclusion. Use \(\alpha = 0.05\).
**Note:** A small chi-square table may be found on page 6.
(b) Run a chi-square test of “Comedy” versus “Mystery”. Use \(\alpha = 0.05\).
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