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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 14 residents has a mean annual income of $40,300 and a standard deviation of $8100. In County B, a random sample of 13 residents has a mean annual income of $39,600 and a standard deviation of $5600. At a = 0.05, answer parts (a) through (e). Assume the population variances are not equal. (a) The null hypothesis, Ho, is V. The alternative hypothesis, H, is Which hypothesis is the claim? O The alternative hypothesis, H. O The null hypothesis, Ho (b) Calculate d.f. and read the tableto find to, The critical value, to is:O (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. O A. t< -to O B. t< -1o, t>to Oc. t>t O D. -6

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 14 residents has a mean annual income of $40,300 and a standard deviation of $8100. In County B, a random sample of 13 residents has a mean annual income of $39,600 and a standard deviation of $5600. At a = 0.05, answer parts (a) through (e). Assume the population variances are not equal. (a) The null hypothesis, Ho, is V. The alternative hypothesis, H, is Which hypothesis is the claim? O The alternative hypothesis, H. O The null hypothesis, Ho (b) Calculate d.f. and read the tableto find to, The critical value, to is:O (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. O A. t< -to O B. t< -1o, t>to Oc. t>t O D. -6

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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 14 residents has a mean annual income of $40,300 and a standard deviation of $8100. In County B, a random sample of 13 residents has a mean annual income of $39,600 and a standard deviation of $5600. At a = 0.05, answer parts (a) through (e). Assume the population variances are not equal. (a) The null hypothesis, Ho, is The alternative hypothesis, Ha, is Which hypothesis is the claim? The alternative hypothesis, Ha The null hypothesis, Ho (b) Calculate d.f. and read the tableto find to. The critical value, to is: (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. O A. t< - to B. t< - to, t>to O C. t>to O D. - to <t<to (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 14 residents has a mean annual income of $40,300 and a standard deviation of $8100. In County B, a random sample of 13 residents has a mean annual income of $39,600 and a standard deviation of $5600. At a = 0.05, answer parts (a) through (e). Assume the population variances are not equal. (a) The null hypothesis, Ho, is The alternative hypothesis, Ha, is Which hypothesis is the claim? The alternative hypothesis, Ha The null hypothesis, Ho (b) Calculate d.f. and read the tableto find to. The critical value, to is: (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. O A. t< - to B. t< - to, t>to O C. t>to O D. - to <t<to (c) Find the standardized test statistic. t= (Type an integer or decimal rounded to three decimal places as needed.)
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