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During tests, testosterone level is typically measured (in ng/dl, i.e. nanograms per decilitre) as amount of testosterone floating in the blood. A researcher suggests that there are occupational differences in mean testosterone levels in men. A study has been conducted and the corresponding data for 22 Medical Doctors and 60 Professors is collected. Assume that the testosterone levels are normally distributed in each of the groups

During tests, testosterone level is typically measured (in ng/dl, i.e. nanograms per decilitre) as amount of testosterone floating in the blood. A researcher suggests that there are occupational differences in mean testosterone levels in men. A study has been conducted and the corresponding data for 22 Medical Doctors and 60 Professors is collected. Assume that the testosterone levels are normally distributed in each of the groups

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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During tests, testosterone level is typically measured (in ng/dl, i.e. nanograms per decilitre) as amount of testosterone floating in the blood. A researcher suggests that there are occupational differences in mean testosterone levels in men. A study has been conducted and the corresponding data for 22 Medical Doctors and 60 Professors is collected. Assume that the testosterone levels are normally distributed in each of the groups. Let Doctors denote the true mean testosterone level of male doctors, Professors denote the true mean testosterone level of male professors. Researcher B believes that the true mean testosterone levels in male Professors is higher by at least 50 ng/dl in comparison to male Doctors. Then, the appropriate null and alternative hypothesis isHo: Professors - Doctors ≥ 50 vs. Ha Professors cannot be determined because ♂ is unknown. isHo: Professors Doctors isHo: Professors Doctors = - vs. Ha Professors 0 vs. 50 vs. Ha: Professors - Doctors < 50 μ Doctors 0 Doctors 50
Transcribed Image Text:During tests, testosterone level is typically measured (in ng/dl, i.e. nanograms per decilitre) as amount of testosterone floating in the blood. A researcher suggests that there are occupational differences in mean testosterone levels in men. A study has been conducted and the corresponding data for 22 Medical Doctors and 60 Professors is collected. Assume that the testosterone levels are normally distributed in each of the groups. Let Doctors denote the true mean testosterone level of male doctors, Professors denote the true mean testosterone level of male professors. Researcher B believes that the true mean testosterone levels in male Professors is higher by at least 50 ng/dl in comparison to male Doctors. Then, the appropriate null and alternative hypothesis isHo: Professors - Doctors ≥ 50 vs. Ha Professors cannot be determined because ♂ is unknown. isHo: Professors Doctors isHo: Professors Doctors = - vs. Ha Professors 0 vs. 50 vs. Ha: Professors - Doctors < 50 μ Doctors 0 Doctors 50
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