An article in American Demographics investigated consumer habits at the mall. We tend to spend the most money shopping on the weekends, and, in particular, on Sundays from 4 to 6 P.M. Wednesday morning shoppers spend the least! Suppose that a random sample of 20 weekend shoppers and a random sample of 20 weekday shoppers were selected, and the amount spent per trip to the mall was recorded.

a. Is it reasonable to assume that the two population variances are equal? Use the F-test to test this hypothesis with α = .05.
b. Based on the results of part a, use the appropriate test to determine whether there is a difference in the average amount spent per trip on weekends versus weekdays. Use α = .05.

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Weekends Weekdays Sample Size Sample Mean (S) Sample Standard Deviation (S) 20 78 22 20 67 20