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 12 residents has a mean annual income of $42,000 and a standard deviation of $8700. In County​ B, a random sample of 10 residents has a mean annual income of $39,200 and a standard deviation of $5700. At α=0.005​, answer parts​ (a) through​ (e). Assume the population variances are not equal. If​ convenient, use technology to solve the problem.   Enter the critical​ value   ​Find the standardized test statistic.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 counties​ (county A) than it is in another county​ (county B). In County​ A, a random sample of 12 residents has a mean annual income of $42,000 and a standard deviation of $8700. In County​ B, a random sample of 10 residents has a mean annual income of $39,200 and a standard deviation of $5700. At α=0.005​, answer parts​ (a) through​ (e). Assume the population variances are not equal. If​ convenient, use technology to solve the problem.

 

Enter the critical​ value

 

​Find the standardized test statistic.
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