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(a) Identify the claim and state Ho and Ha. What are Ho and Ha? Which hypothesis is the claim? (b) Find the critical t value(s)

(a) Identify the claim and state Ho and Ha.

What are Ho and Ha?

Which hypothesis is the claim?

(b) Find the critical t value(s) and identify the rejection region(s).

Draw the correct rejection region(s)

(c) Find the standardized test statistic.

(d) Decide whether to reject or fail to reject the null hypothesis.

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

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A personnel director in a particular state claims that the mean annual income is greater in one of the state's counties (county A) than it is in another county (county B). In County A, a random sample of 14 residents has a mean annual income of $42,400 and a standard deviation of $8700. In County B, a random sample of 13 residents has a mean annual income of $39,800 and a standard deviation of $5200. At * = 0.05, answer parts (a) through (e). Assume the population variances are not equal. If convenient, use technology to solve the problem. (@) Identify the claim and state Ho and Ha. Which is the correct claim below? O A. "The mean annual incomes in counties A and B are equal." O B. "The mean annual income in county A is greater than in county B." O c. "The mean annual income in county A is less than in county B." O D. "The mean annual incomes in counties A and B are not equal."

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