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. If convenient, use technology to solve the problem. OD. "The mean annual incomes in counties A and B are equal." What are Ho and H₂? The null hypothesis, Ho. is ₁ S₂. The alternative hypothesis, H, is ₁2- 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. 1.895 (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.) Select the correct rejection region(s) below. A. 14-5.176 OB. -

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(c) Find the standardized test statistic.
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. If convenient, use technology to solve the problem.
OD. "The mean annual incomes in counties A and B are equal."
What are Ho and H₂?
The null hypothesis, Ho, is ₁ S₂. The alternative hypothesis, Ha. is 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.
1.895
(Type an integer decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.).
Select the correct rejection region(s) below.
A. 1<-.1b
OB. -<t<to
c. 1>
OD. 1<-t
(c) Find the standardized test statistic.
t= (Type an integer or decimal rounded to three decimal places 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. If convenient, use technology to solve the problem. OD. "The mean annual incomes in counties A and B are equal." What are Ho and H₂? The null hypothesis, Ho, is ₁ S₂. The alternative hypothesis, Ha. is 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. 1.895 (Type an integer decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.). Select the correct rejection region(s) below. A. 1<-.1b OB. -<t<to c. 1> OD. 1<-t (c) Find the standardized test statistic. t= (Type an integer or decimal rounded to three decimal places as needed.)
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