Question: Question # 6 (Total marks: 12) Suppose that a random sample of 15 weekend shoppers and a random sample of 15 weekday shoppers were selected,

Question # 6 (Total marks: 12) Suppose that a random sample of 15 weekend shoppers and a random sample of 15 weekday shoppers were selected, and the amount spent per trip to a supermarket was recorded. Weekends Weekdays Sample size 15 Sample mean $78 Sample standard deviation $22 15 $67 $20 (a) Is it reasonable to assume that the two population variances are equal? Use the F test to test this hypothesis with a = 0.05. (4 marks) (b) Based on the results of part (a), use the appropriate test to determine whether there is a significant difference in the average amount spent per trip on weekends versus weekdays. Use a = 0.05. (5 marks) (c) Find a 95% confidence interval to estimate the difference between the average amount spent per trip on weekends versus weekdays. Interpret the interval

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