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Cornell Professor of Nutrition David Levitsky recruited students from two large sections of an introductory health course. Although they were volunteers, they appeared to match the rest of the freshman class in terms of demographic variables. The students were weighed during the first week of the semester, then again 12 weeks later. In a sample of 68 students, he found the average change in weight was -1.85 pounds with a standard deviation of 2.05 pounds. To a significance level of 0.05, test the claim that students' weights remain the same, on average, during their freshman year of college. Please write your answers to at least four decimal places. a. What will our hypotheses look like? Ho: Pa = 0 HA: la < 0 Ho: a = 0 HA: Pa 0 Ο Ho: μα = 0 H A: la > 0 b. What is the standard error? c. What is the test statistic? d. Based on your p-value, at a significance level of a = 0.05, would we reject the null hypothesis? O Reject H O Fail to reject H

Cornell Professor of Nutrition David Levitsky recruited students from two large sections of an introductory health course. Although they were volunteers, they appeared to match the rest of the freshman class in terms of demographic variables. The students were weighed during the first week of the semester, then again 12 weeks later. In a sample of 68 students, he found the average change in weight was -1.85 pounds with a standard deviation of 2.05 pounds. To a significance level of 0.05, test the claim that students' weights remain the same, on average, during their freshman year of college. Please write your answers to at least four decimal places. a. What will our hypotheses look like? Ho: Pa = 0 HA: la < 0 Ho: a = 0 HA: Pa 0 Ο Ho: μα = 0 H A: la > 0 b. What is the standard error? c. What is the test statistic? d. Based on your p-value, at a significance level of a = 0.05, would we reject the null hypothesis? O Reject H O Fail to reject H

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Cornell Professor of Nutrition David Levitsky recruited students from two large sections of an introductory health course. Although they were volunteers, they appeared to match the rest of the freshman class in terms of demographic variables. The students were weighed during the first week of the semester, then again 12 weeks later. In a sample of 68 students, he found the average change in weight was -1.85 pounds with a standard deviation of 2.05 pounds. To a significance level of 0.05, test the claim that students' weights remain the same, on average, during their freshman year of college. Please write your answers to at least four decimal places. a. What will our hypotheses look like? Ho: a = 0 HA: μα < 0 Ho: μα = 0 HA: μα # 0 Ho: a = 0 HA: Md > 0 b. What is the standard error? c. What is the test statistic? d. Based on your p-value, at a significance level of a = 0.05, would we reject the null hypothesis? Reject H Fail to reject H
Transcribed Image Text:Cornell Professor of Nutrition David Levitsky recruited students from two large sections of an introductory health course. Although they were volunteers, they appeared to match the rest of the freshman class in terms of demographic variables. The students were weighed during the first week of the semester, then again 12 weeks later. In a sample of 68 students, he found the average change in weight was -1.85 pounds with a standard deviation of 2.05 pounds. To a significance level of 0.05, test the claim that students' weights remain the same, on average, during their freshman year of college. Please write your answers to at least four decimal places. a. What will our hypotheses look like? Ho: a = 0 HA: μα < 0 Ho: μα = 0 HA: μα # 0 Ho: a = 0 HA: Md > 0 b. What is the standard error? c. What is the test statistic? d. Based on your p-value, at a significance level of a = 0.05, would we reject the null hypothesis? Reject H Fail to reject H
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