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 6 residents has a mean annual income of $41,000 and a standard deviation of $8400. In County B, a random sample of 8 residents has a mean annual income of $37,700 and a standard deviation of $5400. At a = 0.10, 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 Ho and H₂. Which is the correct claim below? OA. "The mean annual incomes in counties A and B are equal." OB. "The mean annual income in county A is greater than in county B." OC. "The mean annual incomes in counties A and B are not equal." OD. "The mean annual income in county A is less than in county B." CE

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Need the rejection region, crit value(s), standard t test, conclusion as well as everything in the image.
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 6 residents has a mean annual income of $41,000 and a standard deviation of $8400. In County B, a random sample of 8 residents has a mean annual income of $37,700 and a standard
deviation of $5400. At a = 0.10, 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 Ho and H.
Which is the correct claim below?
OA. "The mean annual incomes in counties A and B are equal."
OB. "The mean annual income in county A is greater than in county B."
OC. "The mean annual incomes in counties A and B are not equal."
OD. "The mean annual income in county A is less than in county B."
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 6 residents has a mean annual income of $41,000 and a standard deviation of $8400. In County B, a random sample of 8 residents has a mean annual income of $37,700 and a standard deviation of $5400. At a = 0.10, 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 Ho and H. Which is the correct claim below? OA. "The mean annual incomes in counties A and B are equal." OB. "The mean annual income in county A is greater than in county B." OC. "The mean annual incomes in counties A and B are not equal." OD. "The mean annual income in county A is less than in county B."
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