Question

A 1992 article in the Journal of the American Medical Association ("A Critical Appraisal of 98.6 Degrees F, the Upper Limit of the Normal Body temperature, and Other Legacies of Carl Reinhold August Wundrlich") reported body temperature, gender, and heart rate for a number of subjects. The temperatures for 25 female subjects follow: 98.2 97.2 97.4 97.6 97.8 97.9 98.0 98.0 98.4 98.1 98.2 98.3 98.3 98.4 98.4 98.4 98.5 98.6 98.6 98.7 98.8 98.8 98.9 98.9 99.0 Test the hypothesis Ho : u = 98.6 versus H :u # 98.6, using a= 0.05. Round your answers to three decimal places (e.g. 98.765). (a) Calculate the sample mean and standard deviation. (b) Determine the test statistic to. (c) Draw conclusion. Ho.

Answer 1

Answer:- The temperature for 25 female subjects as follow:

98.2 97.2 97.4 97.6 97.8 97.9 98.0 98.0 98.4 98.1 98.2 98.3 98.3 98.4 98.4 98.4 98.5 98.6 98.6 98.7 98.8 98.8 98.9 98.9 99.0

Solution:-

a) the sample mean and standard deviation:

Sample mean, x` =

Xi Sample mean, x 9.8 97.4 91.6 98.2 9 7.2 .. 97.9 g8 .0+ 98.0 + 98.4 + S8.1+ 98.2 +98.3 +98-3+ 98-4+ 98.4ト S8.5 8.6 98.6 98.74 98.8 t 98.8 + 98.3 + 98.9+ 93.0 25 g8.4 9 8.296 98. 296 Sample mean, : Shandard deviaion, - 2 Variance, s n 8.2-98.296)+ (99.0-98.29625-1 5.2 896 2 4 2 O. 2204 standord deviahia S20.2204 0.469 The test statistic to to

98.6 98.296 to O. 4-69/25 to - 3.241 3.24) .. test statistic to. c) Praw conelusion P-Value om test stais Hc 0.003471 p-Value p-Value< 0.05. The result is siniicant. So, we reject he nul hypaihesis Ho A S