The table shows the annual salaries for a random sample of private industry workers in Kentucky, North Carolina, South Carolina, and West Virginia. At \(\alpha=0.10\), can you conclude that the distribution of the annual salaries of private industry workers in at least one state is different from the others?

(a) identify the claim and state \(H_{0}\) and \(H_{a}\),

(b) find the critical value and identify the rejection region,

(c) find the test statistic \(H,\) 

(d) decide whether to reject or fail to reject the null hypothesis,

(e) interpret the decision in the context of the original claim.

Transcribed Image Text:

State Kentucky 39.9 Annual salary (in thousands of dollars) North Carolina 41.6 50.5 62.1 38.3 32.9 39.9 48.8 47.2 41.9 59.6 40.8 44.9 48.8 South Carolina 35.4 43.0 49.1 48.5 40.3 41.7 35.4 West Virginia 34.8 45.9 36.6 45.1 50.3 38.1 34.8