(a) identify the claim and state H, and H Which is the correct claim below? OA The mean annual income in county A is less than in county B OB. The mean annual incomes in countes A and B are equal OC. The mean annual income in county A is greater than in county B OD. The mean annual incomes in countes A and B are not equal What are H, and H₂? The null hypothesis. Hy Which hypothesis is the claim? is O The null hypothesis, H The aleative hypothesis, ₂ (b) Find the otical value(s) and identify the rejection regi() Enter the critical value(s) below OA-64146 OB 16 D (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

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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 coundies (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 $40,300 and a standard deviation of $8100 In County B, a random sample of 8 residents has a mean annual income of $38.500 and a standard
deviation of $5700 At a 0.05, answer parts (a) through (e) Assume the population variances are not equal. If convenient, use technology to solve the problem
(a) identify the claim and state H and H
Which is the correct claim below?
OA "The mean annual income in county A is less than in county B
OB. The mean annual incomes in countes A and B are equal"
OC. The mean annual income in county A is greater than in county B.
OD. The mean annual incomes in countes A and B are not equal
What are H, and H₂?
The nut hypothesis. Hy is
Which hypothesis is the clam?
The null hypothesis H₂
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 to three decimal places as needed Use a comma to separate answers as needed)
Select the correct rejection region(s) below
OA-64146
OB PE
Transcribed Image Text:A personnel director in a particular state claims that the mean annual income is greater in one of the state's coundies (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 $40,300 and a standard deviation of $8100 In County B, a random sample of 8 residents has a mean annual income of $38.500 and a standard deviation of $5700 At a 0.05, answer parts (a) through (e) Assume the population variances are not equal. If convenient, use technology to solve the problem (a) identify the claim and state H and H Which is the correct claim below? OA "The mean annual income in county A is less than in county B OB. The mean annual incomes in countes A and B are equal" OC. The mean annual income in county A is greater than in county B. OD. The mean annual incomes in countes A and B are not equal What are H, and H₂? The nut hypothesis. Hy is Which hypothesis is the clam? The null hypothesis H₂ 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 to three decimal places as needed Use a comma to separate answers as needed) Select the correct rejection region(s) below OA-64146 OB PE
Select the correct rejection region(s) below.
OA. -to<t<t
OB. t>
OC. 1<- 6.16
OD. 1<-b
(c) Find the standardized test statistic.
1# (Type an integer or decimal rounded to three decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
the null hypothesis.
(e) Interpret the decision in the context of the original claim.
At the 5% significance level,
enough evidence to support the personnel director's claim.
Transcribed Image Text:Select the correct rejection region(s) below. OA. -to<t<t OB. t> OC. 1<- 6.16 OD. 1<-b (c) Find the standardized test statistic. 1# (Type an integer or decimal rounded to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. the null hypothesis. (e) Interpret the decision in the context of the original claim. At the 5% significance level, enough evidence to support the personnel director's claim.
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