It has long been stated that the mean temperature of humans is 98 6°F. However,

Question

It has long been stated that the mean temperature of humans is 98 6°F. However, two researchers curn involved in the subject thought that the mean temperature of humans is less than 98 6°F. They measured the temperatures of 148 healthy adults 1 to 4 times daily for 3 days, obtaining 600 measurements. The sample ently data resulted in a sample mean of 977? and a sample standard deviation of 0.8°F (a)Using the classical approach, judge whether the mean temperature of humans is less than 98.6 F at the a 0.01 level of significance. (b)Approximate the P-value EE Click here to view the t Distribution Area in Right Tail (a) Choose the correct answer below O A. Do not reject Ho since the test statistic is less than the critical value. O B. Reject Ho since the test statistic is less than the critical value O C. Do not reject Ho since the test statistic is not less than the critical value ( D. Reject Ho since the test statistic is not less than the critical value (b) The P-value is approximately (Round to four decimal places as needed) Click to select your answer(s)

Explanation / Answer

Z = (X - ?) / ?
Z = (97.7 - 98.6) / 0.8

Z = -1.125 (calculated value)

At 0.01 level of significance, Z(tabulated) = 2.326 (approx.)

(a)

Since Z>- Z(tab) we fail to reject the null hypothesis. i.e. the mean temperature of humans is not less than 98.6 F at 0.01 level of significance.

i.e. option C

(b)

At Z=-1.125, the two-tailed P value equals 0.2606. By conventional criteria, this difference is considered to be not statistically significant.

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