Use the information below to answer Questions #24 - 29. 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 $40,600 and a standard deviation of $8800. In County B, a random sample of 8 residents has a mean annual income of $39,800 and a standard deviation of $5100. At a = 0.05, can you support the personnel director's claim? Assume the variances are not equal and assume the samples are random, independent, and normally distributed. Find the p-value. Round to four decimal places as needed.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Use the information below to answer Questions #24 - 29.
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 $40,600 and a standard deviation of $8800. In County B,
a random sample of 8 residents has a mean annual income of $39,800 and a standard deviation of
$5100. At a = 0.05, can you support the personnel director's claim? Assume the variances are not
equal and assume the samples are random, independent, and normally distributed.
Find the p-value. Round to four decimal places as needed.
Transcribed Image Text:Use the information below to answer Questions #24 - 29. 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 $40,600 and a standard deviation of $8800. In County B, a random sample of 8 residents has a mean annual income of $39,800 and a standard deviation of $5100. At a = 0.05, can you support the personnel director's claim? Assume the variances are not equal and assume the samples are random, independent, and normally distributed. Find the p-value. Round to four decimal places as needed.
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