We are interested in determining whether or not the variances of the sales are equal for two small grocery stores. A sample of 21 days of sales (in $) at Store A and a sample of 16 days of sales (in $) at Store B indicated the following.
?
Store A
Store B
n1 = 21n2 = 16
= 800
= 400?
a.Provide the hypotheses to be tested.b.Compute the test statistic.c.Determine the critical value of F at 95% confidence.d.Compute the p-value and use it to test the above hypotheses at ? = .05.
What will be an ideal response?
| a. | H0:  =  Ha: |
| b. | F =  =  = 2.0 |
| c. | 2.76 |
| d. | F = 2.0 is between 1.92 and 2.33. Hence, the area in the upper tail is between .1 and .05. Since this situation represents a two-tailed test, we double the values and conclude the p-value is between .2 and .1. Since the p-value is larger than ? = .05, the null hypothesis is not rejected. |
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