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An employment information service claims the mean annual salary for senior level product engineers is $97,000. The annual salaries (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At a=0.01, test the claim that the mean salary is $97,000. Complete parts (a) through (e) below. Assume the population is normally distributed. The claim is the null hypothesis. (b) Use technology to find the critical value(s) and identify the rejection region(s). The critical value(s) is/are to = -2.95, 2.95. (Use a comma to separate answers as needed. Round to two decimal places as neelled.) Choose the graph which shows the rejection region. OA Q AA 17 OB. (c) Find the standardized test statistic, t. The standardized test statistic is t= (Round to two decimal places as needed.) 1<% "' 10 COLL √i O C. -55156 5 1₁ Q G More 100,651 82,543 102,450 91,009 Annual Salaries 96,333 93,546 74,213 77,030 112,633 81,017 76,175 103,934 104,036 82,069 85,061 110,404 D. th-6.16 7 Q X

An employment information service claims the mean annual salary for senior level product engineers is $97,000. The annual salaries (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At a=0.01, test the claim that the mean salary is $97,000. Complete parts (a) through (e) below. Assume the population is normally distributed. The claim is the null hypothesis. (b) Use technology to find the critical value(s) and identify the rejection region(s). The critical value(s) is/are to = -2.95, 2.95. (Use a comma to separate answers as needed. Round to two decimal places as neelled.) Choose the graph which shows the rejection region. OA Q AA 17 OB. (c) Find the standardized test statistic, t. The standardized test statistic is t= (Round to two decimal places as needed.) 1<% "' 10 COLL √i O C. -55156 5 1₁ Q G More 100,651 82,543 102,450 91,009 Annual Salaries 96,333 93,546 74,213 77,030 112,633 81,017 76,175 103,934 104,036 82,069 85,061 110,404 D. th-6.16 7 Q X

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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please don't reject this question. I just need the standardized test statistic T=_____
**Educational Website Transcription:** **Title: Testing a Claim About Mean Annual Salaries** An employment information service claims the mean annual salary for senior level product engineers is $97,000. The annual salaries (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At \(\alpha = 0.01\), test the claim that the mean salary is $97,000. Complete parts (a) through (e) below. Assume the population is normally distributed. **Annual Salaries:** - 100,651 - 96,333 - 93,546 - 112,633 - 82,543 - 74,213 - 77,030 - 81,017 - 102,450 - 76,175 - 103,934 - 104,036 - 91,009 - 82,069 - 85,061 - 110,404 **(a)** The claim is the **null** hypothesis. **(b)** Use technology to find the critical value(s) and identify the rejection region(s). The critical value(s) is/are \( t_0 = -2.95, 2.95 \). (Use a comma to separate answers as needed. Round to two decimal places as needed.) Choose the graph which shows the rejection region: - **Graph A:** Shows a shaded region to the left of \( t = -t_0 \). - **Graph B:** Shows a shaded region to the left of \( t = t_0 \). - **Graph C:** Shows a shaded central region between \( -t_0 < t < t_0 \). - **Graph D:** (Correct) Shows shaded regions outside \( -t_0 \) and \( t_0 \). **(c)** Find the standardized test statistic, \( t \). The standardized test statistic is \( t = \underline{\qquad} \). (Round to two decimal places as needed.)
Transcribed Image Text:**Educational Website Transcription:** **Title: Testing a Claim About Mean Annual Salaries** An employment information service claims the mean annual salary for senior level product engineers is $97,000. The annual salaries (in dollars) for a random sample of 16 senior level product engineers are shown in the table to the right. At \(\alpha = 0.01\), test the claim that the mean salary is $97,000. Complete parts (a) through (e) below. Assume the population is normally distributed. **Annual Salaries:** - 100,651 - 96,333 - 93,546 - 112,633 - 82,543 - 74,213 - 77,030 - 81,017 - 102,450 - 76,175 - 103,934 - 104,036 - 91,009 - 82,069 - 85,061 - 110,404 **(a)** The claim is the **null** hypothesis. **(b)** Use technology to find the critical value(s) and identify the rejection region(s). The critical value(s) is/are \( t_0 = -2.95, 2.95 \). (Use a comma to separate answers as needed. Round to two decimal places as needed.) Choose the graph which shows the rejection region: - **Graph A:** Shows a shaded region to the left of \( t = -t_0 \). - **Graph B:** Shows a shaded region to the left of \( t = t_0 \). - **Graph C:** Shows a shaded central region between \( -t_0 < t < t_0 \). - **Graph D:** (Correct) Shows shaded regions outside \( -t_0 \) and \( t_0 \). **(c)** Find the standardized test statistic, \( t \). The standardized test statistic is \( t = \underline{\qquad} \). (Round to two decimal places as needed.)
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