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Quinnipiac University *

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Statistics

Date

May 9, 2024

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05/05/247:38PM () A test of the claim that humans have body temperatures with a mean equal to 98.6°F concluded to reject the null hypothesis. The sample of 119 body temperatures has a standard deviation of 0.72°F. The conclusion in the test would change if the sample standard deviation s were 2.25°F or greater. Use a 0.01 significance level to test the claim that the sample of 119 body temperatures is from a population with a standard deviation less than 2.25°F. What does the result tell us about the validity of the hypothesis test about the mean body temperature? Assume that a simple random sample is selected from a normally distributed population. + What are the_oorrect hypotheses for this test? Hyo = 225 °F Hyo < 225 °F Calculate the value of the test statistic. 12.09 (Round to two decimal places as needed.) Use technology to determine the P-value for the test statistic. The P-valueis 0. (Round to three decimal places as needed.) What is the conclusion at the 0.01 level of significance? Since the P-value is less than the level of significance, reject the null hypothesis. There is sufficient evidence to conclude that the sample is from a population with a standard deviation less than 2.25 °E. Since a value of the sample standard deviation that would change the conclusion of the test is unlikely, the hypothesis test about the mean body temperature is likely to be valid. View an example Get more help - (Similar question ) L SUELS Nt i S

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