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

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(b) Find the critical value(s) and identify the rejection region(s). Enter the critical value(s) below.
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 17 residents has a mean annual income of
$41,200 and a standard deviation of $8600. In County B, a random sample of 8 residents has a mean annual income of $38,600 and a standard deviation of $5200. At a = 0.05, answer parts (a) through (e). Assume the population variances are
not equal. I convenient, use technology to solve the problem.
C
(a) Identify the claim and state Ho and Ha
Which is the correct claim below?
OA. "The mean annual incomes in counties A and B are not equal."
B. "The mean annual income in county A is greater than in county B."
OC. "The mean annual income in county A is less than in county B."
OD. "The mean annual incomes in counties A and B are equal."
What are Ho and H₂?
The null hypothesis, Ho, is ₁ 5₂. The alternative hypothesis, Ha.is H₁ H2
Which hypothesis is the claim?
The null hypothesis, Ho
The alternative hypothesis, H
(b) Find the critical value(s) and identify the rejection region(s).
Enter the critical value(s) below.
(Type an integer or decimal rounded three decimal places a needed. Use a comma separate answers as needed.)
Transcribed Image Text: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 17 residents has a mean annual income of $41,200 and a standard deviation of $8600. In County B, a random sample of 8 residents has a mean annual income of $38,600 and a standard deviation of $5200. At a = 0.05, answer parts (a) through (e). Assume the population variances are not equal. I convenient, use technology to solve the problem. C (a) Identify the claim and state Ho and Ha Which is the correct claim below? OA. "The mean annual incomes in counties A and B are not equal." B. "The mean annual income in county A is greater than in county B." OC. "The mean annual income in county A is less than in county B." OD. "The mean annual incomes in counties A and B are equal." What are Ho and H₂? The null hypothesis, Ho, is ₁ 5₂. The alternative hypothesis, Ha.is H₁ H2 Which hypothesis is the claim? The null hypothesis, Ho The alternative hypothesis, H (b) Find the critical value(s) and identify the rejection region(s). Enter the critical value(s) below. (Type an integer or decimal rounded three decimal places a needed. Use a comma separate answers as needed.)
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