It has long been stated that the mean temperature of humans is 98.6 degreesF. Ho

Question

It has long been stated that the mean temperature of humans is 98.6 degreesF. However, two researchers currently involved in the subject thought that the mean temperature of humans is less than 98.6 degreesF. They measured the temperatures of 148 healthy adults 1 to 4 times daily for 3 days, obtaining 600 measurements. The sample data resulted in a sample mean of 98.1 degreesF and a sample standard deviation of 0.5 degrees F. (a) Using the classical approach, judge whether the mean temperature of humans is less than 98.6 degreesF at the alpha equals0.01 level of significance. (b) Approximate the P-value. LOADING... Click here to view the t-Distribution Area in Right Tail. (a) Choose the correct answer below. A. Reject Upper H 0 since the test statistic is less than the critical value. B. Reject Upper H 0 since the test statistic is not less than the critical value. C. Do not reject Upper H 0 since the test statistic is less than the critical value. D. Do not reject Upper H 0 since the test statistic is not less than the critical value. (b) The P-value is approximately nothing . (Round to four decimal places as needed.)

Explanation / Answer

b) p value =0.0000

A. Reject Ho since the test statistic is less than the critical value.

null hypothesis: = 98.6 Alternate Hypothesis: < 98.6 for 0.01 level with left tailed test , critical value of t= 2.33 Decision rule :                   reject Ho if test statistic t<-2.33 population mean = 98.6 sample mean xbar= 98.1 sample size                 n= 600 population std deviation s= 0.5 standard errror of mean = x=/n= 0.0204 test statistic           t             =   (xbar-)/ x= -24.4949

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