A career counselor is comparing the annual salary of executives in the manufacturing, finance, and engineering industries. The following table shows the sample size for each industry and the rank sum for the Kruskal-Wallis test. Manufacturing Finance Engineering Sample Size 5 6 5 Sum of Ranks 64 53 19 a. Specify the competing hypotheses to determine whether differences exist in the median annual salary of the three industries. b. What is the value of the Kruskal-Wallis test statistic H? c. At the 5% significance level, what is the decision and conclusion?

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A career counselor is comparing the annual salary of executives in the manufacturing, finance, and
engineering industries. The following table shows the sample size for each industry and the rank sum for
the Kruskal-Wallis test.

                              Manufacturing Finance Engineering
Sample Size                     5                 6              5
Sum of Ranks                 64               53             19

a. Specify the competing hypotheses to determine whether differences exist in the median annual salary of the three industries.

b. What is the value of the Kruskal-Wallis test statistic H?

c. At the 5% significance level, what is the decision and conclusion?

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