Question

It has long been stated that the mean temperature of humans is 98.6degrees°F. However, two researchers currently involved in the subject thought that the mean temperature of humans is less than 98.6degrees°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 98.2°F and a sample standard deviation of 1degrees°F. Use the P-value approach to conduct a hypothesis test to judge whether the mean temperature of humans is less than 98.6degrees°F at the α=0.01 level of significance. State the hypotheses. H0: ▼ μ ▼ = 98.6degrees°F H1: ▼ μ ▼ < 98.6degrees°F Find the test statistic. t0= (Round to two decimal places as needed.) Find the test statistic. t 0= (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) What can be concluded? A. Reject H0 since the P-value is not less than the significance level. B. Reject H0 since the P-value is less than the significance level. This is the correct answer. C. Do not reject H0 since the P-value is not less than the significance level. D. Do not reject H0 since the P-value is less than the significance level.

Answer 1

H0:  μ = 98.6

Ha: μ <98.6

test statistic =-6.63

The P-value is =0.000

B. Reject H0 since the P-value is less than the significance level.