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It is commonly believed that the mean body temperature of a healthy adult is 98.6^\circ F. You are not entirely convinced. You believe that it is lower than 98.6^\circ F. The temperatures for 12 randomly selected healthy adults are shown below. Assume that the distribution of the population is normal. 92.9, 71.4, 93, 90.8, 88, 99.1, 83.1, 78.1, 84.1, 90.8, 97.7, 97.7 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Но: %3D c. The test statistic t v (please show your answer to 3 decimal places.) %3D d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is f. Based on this, we should reject the null hypothesis. g. Thus, the final conclusion is that ... O There is not sufficient evidence to conclude that the population mean body temperature for healthy adults is lower than 98.6° F. O There is sufficient evidence to conclude that the population mean body temperature for healthy adults is lower than 98.6° F. There is not sufficient evidence to conclude that the population mean body temperature for healthy adults is equal to 98.6° F.

It is commonly believed that the mean body temperature of a healthy adult is 98.6^\circ F. You are not entirely convinced. You believe that it is lower than 98.6^\circ F. The temperatures for 12 randomly selected healthy adults are shown below. Assume that the distribution of the population is normal. 92.9, 71.4, 93, 90.8, 88, 99.1, 83.1, 78.1, 84.1, 90.8, 97.7, 97.7 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Но: %3D c. The test statistic t v (please show your answer to 3 decimal places.) %3D d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is f. Based on this, we should reject the null hypothesis. g. Thus, the final conclusion is that ... O There is not sufficient evidence to conclude that the population mean body temperature for healthy adults is lower than 98.6° F. O There is sufficient evidence to conclude that the population mean body temperature for healthy adults is lower than 98.6° F. There is not sufficient evidence to conclude that the population mean body temperature for healthy adults is equal to 98.6° F.

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
Section10.3: Measures Of Spread
Problem 2GP
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It is commonly believed that the mean body temperature of a healthy adult is 98.6^\circ F. You are not entirely convinced. You believe that it is lower than 98.6^\circ F. The temperatures for 12 randomly selected healthy adults are shown below. Assume that the distribution of the population is normal. 92.9, 71.4, 93, 90.8, 88, 99.1, 83.1, 78.1, 84.1, 90.8, 97.7, 97.7 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Но: %3D На: c. The test statistic t v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is sv f. Based on this, we should reject the null hypothesis. g. Thus, the final conclusion is that ... O There is not sufficient evidence to conclude that the population mean body temperature for healthy adults is lower than 98.6° F. O There is sufficient evidence to conclude that the population mean body temperature for healthy adults is lower than 98.6° F. O There is not sufficient evidence to conclude that the population mean body temperature for healthy adults is equal to 98.6° F.
Transcribed Image Text:It is commonly believed that the mean body temperature of a healthy adult is 98.6^\circ F. You are not entirely convinced. You believe that it is lower than 98.6^\circ F. The temperatures for 12 randomly selected healthy adults are shown below. Assume that the distribution of the population is normal. 92.9, 71.4, 93, 90.8, 88, 99.1, 83.1, 78.1, 84.1, 90.8, 97.7, 97.7 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Но: %3D На: c. The test statistic t v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is sv f. Based on this, we should reject the null hypothesis. g. Thus, the final conclusion is that ... O There is not sufficient evidence to conclude that the population mean body temperature for healthy adults is lower than 98.6° F. O There is sufficient evidence to conclude that the population mean body temperature for healthy adults is lower than 98.6° F. O There is not sufficient evidence to conclude that the population mean body temperature for healthy adults is equal to 98.6° F.
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