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It has long been stated that the mean temperature of humans is 98.6°F. However, two researchers curren in the subject thought that the mean temperature of humans is less than 98.6°F. They measured the temp 61 healthy adults 1 to 4 times daily for 3 days, obtaining 275 measurements. The sample data resulted in mean of 98.3°F and a sample standard deviation of 1.1°F. Use the P-value approach to conduct a hypoth judge whether the mean temperature of humans is less than 98.6°F at the a=0.01 level of significance. State the hypotheses. H₂ μ H₁: P Find the test statistic. = 98.6°F <98.6°F to-4.52 (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) ample Get more help - Clear all

It has long been stated that the mean temperature of humans is 98.6°F. However, two researchers curren in the subject thought that the mean temperature of humans is less than 98.6°F. They measured the temp 61 healthy adults 1 to 4 times daily for 3 days, obtaining 275 measurements. The sample data resulted in mean of 98.3°F and a sample standard deviation of 1.1°F. Use the P-value approach to conduct a hypoth judge whether the mean temperature of humans is less than 98.6°F at the a=0.01 level of significance. State the hypotheses. H₂ μ H₁: P Find the test statistic. = 98.6°F <98.6°F to-4.52 (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) ample Get more help - Clear all

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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**Hypothesis Testing of Human Body Temperature** **Background:** It has long been stated that the mean temperature of humans is 98.6°F. However, two researchers questioned whether the mean temperature of humans is actually less than 98.6°F. They conducted a study measuring the temperatures of 61 healthy adults, 1 to 4 times daily, over 3 days, resulting in 275 measurements. The sample data showed a mean temperature of 98.3°F with a sample standard deviation of 1.1°F. **Objective:** Use the P-value approach to conduct a hypothesis test to determine whether the mean temperature of humans is less than 98.6°F at the α = 0.01 level of significance. **Hypotheses:** - Null Hypothesis (H₀): μ = 98.6°F - Alternative Hypothesis (H₁): μ < 98.6°F **Test Statistic:** - Calculated test statistic (t₀): -4.52 (Rounded to two decimal places) **P-value:** - The P-value should be calculated and rounded to three decimal places. **Conclusion:** - The conclusion of this hypothesis test would depend on the calculated P-value in comparison to the significance level (α = 0.01). If the P-value is less than 0.01, we reject the null hypothesis, suggesting the mean temperature is indeed less than 98.6°F. If greater, we fail to reject the null hypothesis.
Transcribed Image Text:**Hypothesis Testing of Human Body Temperature** **Background:** It has long been stated that the mean temperature of humans is 98.6°F. However, two researchers questioned whether the mean temperature of humans is actually less than 98.6°F. They conducted a study measuring the temperatures of 61 healthy adults, 1 to 4 times daily, over 3 days, resulting in 275 measurements. The sample data showed a mean temperature of 98.3°F with a sample standard deviation of 1.1°F. **Objective:** Use the P-value approach to conduct a hypothesis test to determine whether the mean temperature of humans is less than 98.6°F at the α = 0.01 level of significance. **Hypotheses:** - Null Hypothesis (H₀): μ = 98.6°F - Alternative Hypothesis (H₁): μ < 98.6°F **Test Statistic:** - Calculated test statistic (t₀): -4.52 (Rounded to two decimal places) **P-value:** - The P-value should be calculated and rounded to three decimal places. **Conclusion:** - The conclusion of this hypothesis test would depend on the calculated P-value in comparison to the significance level (α = 0.01). If the P-value is less than 0.01, we reject the null hypothesis, suggesting the mean temperature is indeed less than 98.6°F. If greater, we fail to reject the null hypothesis.
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