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Font Paragraph Make sure you submit all your answers to this lab in one Word document. 1) To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data 5 7 9 10 11 12 13 Height of 74.1 69.2 66.9 692 68 9 70.2 70.4 693 15 8 723 69 2 68.6 739 son, Fi Height of TO.3 67.1 70.9 66 8 72.8 704 71.8 70.1 69 9 70 8 70 2 70.4 72.4 father, Xi a) Are sons taller than their fathers? (Points: 10) i State the null and alternative hypotheses in words 1. State the null and alternative hypotheses using the mathematical notation. Null hypothesis: Sons are not significantly taller than their fathers. HO p1-7230 b) Use the insert equation button from Microsoft Word to type the formula(s) for calculating the test statistic. Click on the Insert tab, then click on the Equation button, then use the Structures buttons and the Symbols buttons from the Equation Tools Design tab to type your formula. Note: The roman letters from your keyboard, such as i, d, s, or n also work when typing your formula in equation mode. (Points: 5) 2sp=(n1-1)$21+(n2-1)s2 21+n2-2 (13-1)6.785)+(13-1)(3.02)/13+13-2=4.903 c) Use Microsoft Excel Data Analysis ToolPak to test the belief that sons are taller than their fathers. Use the a = 0.10 level of significance. Copy and paste the Microsoft Excel worksheet ply containing the test results in your Word Document. (Points: 15) d) What is your final answer for the test statistic according to the Microsoft Excel worksheet ply containing the test results? (Points: 5) that is (are) the critical value(s) for this hypothesis test according to the Microsoft Excel Corksheet ply containing the test results? If this is a one-tailed test, make sure you report one critical value. If this is a two-tailed test, make sure you report two critical values. (Points: 5) f) Does the sample evidence suggest that sons are taller than their fathers? State the correct conclusion ( There is sufficient evidence at the a = 0.10 significance level to support..." or "There is NOT sufficient evidence at the a = 0.10 significance level to support..."). Make sure you state the conclusion in terms of Hi. (Points: 10) Page 1 of 3 Accessibility: InvestigateDZL Module 7: Lab - Spring 2022 Sta( X AG505-Module07-Lab.pdf X + C a https://myleoonline.tamuc.edu/content/enforced/94015-202220AG-505-01W/imscc8c3f758018ad44ee8caboc10a2c68952/U9R/C51R/AG.. Yo 1 of 2 Q 1) To test the belief that sons are taller than their fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data. 2 3 4 5 6 8 9 10 11 12 13 Height of 74.1 69.2 66.9 69.2 68.9 70.2 70.4 69.3 75.8 72.3 69.2 68.6 73.9 son, Y Height of 70.3 67.1 70.9 66.8 72.8 70.4 71.8 70.1 69.9 70.8 70.2 70.4 72.4 father, Xi a) Are sons taller than their fathers? (Points: 10) i State the null and alternative hypotheses in words. ii. State the null and alternative hypotheses using the mathematical notation. b) Use the insert equation button from Microsoft Word to type the formula(s) for calculating the test statistic. Click on the Insert tab, then click on the Equation button, then use the Structures buttons and the Symbols buttons from the Equation Tools Design tab to type your formula. Note: The roman letters from your keyboard, such as t, d, s, or n also work when typing your formula in equation mode. (Points: 5) c) Use Microsoft Excel Data Analysis ToolPak to test the belief that sons are taller than their fathers. Use the a = 0.10 level of significance. Copy and paste the Microsoft Excel worksheet ply containing the test results in your Word Document. (Points: 15) d) What is your final answer for the test statistic according to the Microsoft Excel worksheet ply containing the test results? (Points: 5) e) What is (are) the critical value(s) for this hypothesis test according to the Microsoft Excel worksheet ply containing the test results? If this is a one-tailed test, make sure you report one critical value. If this is a two-tailed test, make sure you report two critical values. 62'F 2:18