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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

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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