3. Customers of one of the nation's largest food chains were surveyed to estimate the difference in mean time spent in the store per visit between men and women shoppers. Previous studies indicate that the population standard deviation is 16 minutes for females and 11 minutes for males. Random samples of 100 male and 100 female customers shopping in the chain's stores yield sample means of 34.5 minutes for males and 42.4 minutes for females. Use the 0.05 significance level to test whether there is sufficient evidence to prove that the population mean time spent in the store for females is greater than for males. Identify and interpret the p-value for the test.
ANSWER FORMAT:
Define H0 : | |
Define H1 : | |
Critical value of test statistic | |
Decision rule | |
Calculated value of test statistic | |
Reject or fail to reject H0? | |
Find the p-value | |
Interpret p-value |
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