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It has long been stated that the mean temperature of humans is 98.6°F. However, two researchers currently involved in the subject thought that the mean temperature of humans is less than 98.6°F. They measured the temperatures of 61 healthy adults 1 to 4 times daily for 3 days, obtaining 275 measurements. The sample data resulted in a sample mean of 98.3°F and a sample standard deviation of 1.1°F. Use the P-value approach to conduct a hypothesis test to judge whether the mean temperature of humans is less than 98.6°F at the a= 0.01 level of significance. State the hypotheses. Ho: p = 98.6°F H₁: P < 98.6°F Find the test statistic. HE to (Round to two decimal places as needed.) -- More

It has long been stated that the mean temperature of humans is 98.6°F. However, two researchers currently involved in the subject thought that the mean temperature of humans is less than 98.6°F. They measured the temperatures of 61 healthy adults 1 to 4 times daily for 3 days, obtaining 275 measurements. The sample data resulted in a sample mean of 98.3°F and a sample standard deviation of 1.1°F. Use the P-value approach to conduct a hypothesis test to judge whether the mean temperature of humans is less than 98.6°F at the a= 0.01 level of significance. State the hypotheses. Ho: p = 98.6°F H₁: P < 98.6°F Find the test statistic. HE to (Round to two decimal places as needed.) -- More

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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**Introduction to Hypothesis Testing** It has long been stated that the mean temperature of humans is 98.6°F. However, two researchers currently involved in the subject thought that the mean temperature of humans is less than 98.6°F. They measured the temperatures of 61 healthy adults 1 to 4 times daily for 3 days, obtaining 275 measurements. The sample data resulted in a sample mean of 98.3°F and a sample standard deviation of 1.1°F. Use the P-value approach to conduct a hypothesis test to judge whether the mean temperature of humans is less than 98.6°F at the α = 0.01 level of significance. --- **State the Hypotheses:** - \( H_0: \mu = 98.6°F \) - \( H_1: \mu < 98.6°F \) **Find the Test Statistic:** - \( t_0 = \) (Round to two decimal places as needed) --- **Note:** Complete the calculation to find the test statistic \( t_0 \) using the provided sample data, and use statistical tables or software to determine the P-value and final conclusions regarding the hypotheses.
Transcribed Image Text:**Introduction to Hypothesis Testing** It has long been stated that the mean temperature of humans is 98.6°F. However, two researchers currently involved in the subject thought that the mean temperature of humans is less than 98.6°F. They measured the temperatures of 61 healthy adults 1 to 4 times daily for 3 days, obtaining 275 measurements. The sample data resulted in a sample mean of 98.3°F and a sample standard deviation of 1.1°F. Use the P-value approach to conduct a hypothesis test to judge whether the mean temperature of humans is less than 98.6°F at the α = 0.01 level of significance. --- **State the Hypotheses:** - \( H_0: \mu = 98.6°F \) - \( H_1: \mu < 98.6°F \) **Find the Test Statistic:** - \( t_0 = \) (Round to two decimal places as needed) --- **Note:** Complete the calculation to find the test statistic \( t_0 \) using the provided sample data, and use statistical tables or software to determine the P-value and final conclusions regarding the hypotheses.
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