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A client wants to determine whether there is a significant difference in the time required to complete a program evaluation with the three different methods that are in common use. Suppose the times (in hours) required for each of 18 evaluators to conduct a program evaluation follow. Method 1 Method 2 Method 3 67 63 57 74 71 69 66 76 68 75 67 59 79 73 58 73 70 63 Use a = 0.05 and test to see whether there is a significant difference in the time required by the three methods. State the null and alternative hypotheses. O H : Not all populations of times are identical. Ha: All populations of times are identical. O Ho: Median, = Median2 = Median 3 Ha: Median, > Median> > Median3 O Ho: Median, * Median2 * Median3 H: Median = Median, = Median? OH: Median = Median, = Median 3 Ha: Median, # Median2 * Median 3 O Ho: All populations of times are identical. Ha: Not all populations of times are identical. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Reject H . There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods. O Do not reject H . There is sufficient evidence to conclude that there is a significant difference in the time required by the three methods. O Reject Ho. There is not sufficient evidence to conclude that there is a significant difference in the time required by the three methods. O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference in the time required by the three methods.The gap between the earnings of men and women with equal education is narrowing but has not closed. Sample data for seven men and seven women with bachelor's degrees are as follows. Data are shown in thousands of dollars. Men Women 39.6 40.5 81.5 41.4 51.2 35.9 62.2 49.5 48.2 31.8 54.9 55.5 61.3 20.8 (a) What is the median salary (in $) for men? For women? ner women (b) Use a = 0.05 and conduct the hypothesis test for identical population distributions. State the null and alternative hypotheses. O Ho: Median salary for men - Median salary for women > 0 H: Median salary for men - Median salary for women = 0 O Ho: The two populations of salaries are not identical. Ha: The two populations of salaries are identical. O Ho: Median salary for men - Median salary for women s 0 Ha: Median salary for men - Median salary for women > 0 O Ho: The two populations of salaries are identical. H: The two populations of salaries are not identical. O Ho: Median salary for men - Median salary for women 2 0 Ha: Median salary for men - Median salary for women
