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It is commonly believed that the mean body temperature of a healthy adult is 98.6°F. You are not entirely convinced. You believe that it is not 98.6°F. You collected data from a sample of 47 healthy people and found their sample mean body temperature and sample standard deviation. Use a 0.05 significance level and the data below to test the claim that the mean body temperature of a healthy adult is not 98.6°F. n = 47; x = 98.21°F; s=1.16°F a) Identify the null and alternative hypotheses? Ho: V H₁: ? b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? O left-tailed Oright-tailed O two-tailed c) Identify the appropriate significance level. d) Calculate your test statistic. Round to two decimal places. t = e) Calculate your p-value. Round to four decimal places. p-value = f) Do you reject the null hypothesis? We reject the null hypothesis, since the p-value is less than the significance level. We reject the null hypothesis, since the p-value is not less than the significance level. We fail to reject the null hypothesis, since the p-value is less than the significance level. We fail to reject the null hypothesis, since the p-value is not less than the significance level. g) Select the statement below that best represents the conclusion that can be made. O There is sufficient evidence to warrant rejection of the claim that the mean body temperature of a healthy adult is not 98.6°F. There is not sufficient evidence to warrant rejection of the claim that the mean body temperature of a healthy adult is not 98.6°F. The sample data support the claim that the mean body temperature of a healthy adult is not 98.6°F There is not sufficient sample evidence to support the claim that the mean body temperature of a healthy adult is not 98.6°F.

It is commonly believed that the mean body temperature of a healthy adult is 98.6°F. You are not entirely convinced. You believe that it is not 98.6°F. You collected data from a sample of 47 healthy people and found their sample mean body temperature and sample standard deviation. Use a 0.05 significance level and the data below to test the claim that the mean body temperature of a healthy adult is not 98.6°F. n = 47; x = 98.21°F; s=1.16°F a) Identify the null and alternative hypotheses? Ho: V H₁: ? b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? O left-tailed Oright-tailed O two-tailed c) Identify the appropriate significance level. d) Calculate your test statistic. Round to two decimal places. t = e) Calculate your p-value. Round to four decimal places. p-value = f) Do you reject the null hypothesis? We reject the null hypothesis, since the p-value is less than the significance level. We reject the null hypothesis, since the p-value is not less than the significance level. We fail to reject the null hypothesis, since the p-value is less than the significance level. We fail to reject the null hypothesis, since the p-value is not less than the significance level. g) Select the statement below that best represents the conclusion that can be made. O There is sufficient evidence to warrant rejection of the claim that the mean body temperature of a healthy adult is not 98.6°F. There is not sufficient evidence to warrant rejection of the claim that the mean body temperature of a healthy adult is not 98.6°F. The sample data support the claim that the mean body temperature of a healthy adult is not 98.6°F There is not sufficient sample evidence to support the claim that the mean body temperature of a healthy adult is not 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
Section10.4: Distributions Of Data
Problem 19PFA
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It is commonly believed that the mean body temperature of a healthy adult is 98.6°F. You are not entirely convinced. You believe that it is not 98.6°F. You collected data from a sample of 47 healthy people and found their sample mean body temperature and sample standard deviation. Use a 0.05 significance level and the data below to test the claim that the mean body temperature of a healthy adult is not 98.6°F. n = 47; x = 98.21°F; s=1.16°F a) Identify the null and alternative hypotheses? Ho: V H₁: ? b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? O left-tailed Oright-tailed O two-tailed c) Identify the appropriate significance level. d) Calculate your test statistic. Round to two decimal places. t = e) Calculate your p-value. Round to four decimal places. p-value = f) Do you reject the null hypothesis? We reject the null hypothesis, since the p-value is less than the significance level. We reject the null hypothesis, since the p-value is not less than the significance level. We fail to reject the null hypothesis, since the p-value is less than the significance level. We fail to reject the null hypothesis, since the p-value is not less than the significance level. g) Select the statement below that best represents the conclusion that can be made. O There is sufficient evidence to warrant rejection of the claim that the mean body temperature of a healthy adult is not 98.6°F. There is not sufficient evidence to warrant rejection of the claim that the mean body temperature of a healthy adult is not 98.6°F. The sample data support the claim that the mean body temperature of a healthy adult is not 98.6°F There is not sufficient sample evidence to support the claim that the mean body temperature of a healthy adult is not 98.6°F.
Transcribed Image Text:It is commonly believed that the mean body temperature of a healthy adult is 98.6°F. You are not entirely convinced. You believe that it is not 98.6°F. You collected data from a sample of 47 healthy people and found their sample mean body temperature and sample standard deviation. Use a 0.05 significance level and the data below to test the claim that the mean body temperature of a healthy adult is not 98.6°F. n = 47; x = 98.21°F; s=1.16°F a) Identify the null and alternative hypotheses? Ho: V H₁: ? b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? O left-tailed Oright-tailed O two-tailed c) Identify the appropriate significance level. d) Calculate your test statistic. Round to two decimal places. t = e) Calculate your p-value. Round to four decimal places. p-value = f) Do you reject the null hypothesis? We reject the null hypothesis, since the p-value is less than the significance level. We reject the null hypothesis, since the p-value is not less than the significance level. We fail to reject the null hypothesis, since the p-value is less than the significance level. We fail to reject the null hypothesis, since the p-value is not less than the significance level. g) Select the statement below that best represents the conclusion that can be made. O There is sufficient evidence to warrant rejection of the claim that the mean body temperature of a healthy adult is not 98.6°F. There is not sufficient evidence to warrant rejection of the claim that the mean body temperature of a healthy adult is not 98.6°F. The sample data support the claim that the mean body temperature of a healthy adult is not 98.6°F There is not sufficient sample evidence to support the claim that the mean body temperature of a healthy adult is not 98.6°F.
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