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.

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A:

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