Question

A physician would like to test the hypothesis that the mean body temperature (in degrees Fahrenheit) of adults is not 98.6. For the test, they will assume the temperatures follow a normal distribution with a standard deviation of 0.9. The physician selects a random sample of 10 adults and finds that they have a mean body temperature of 98.2.

A) calculate the test statistic for testing the physician's hypothesis.

B) Determine the p- value for the test.

Answer 1

Solution :

= 98.6

= 98.2

s = 0.9

n = 10

This is the two tailed test .

The null and alternative hypothesis is

H0 :   = 98.6

Ha : 98.6

Test statistic = t

= ( - ) / s / n

= (98.2 -98.6) / 0.9/ 10

= -1.405

P (Z < -1.405 ) =0.1936

P-value = 0.1936

= 0.05  

0.1936 > 0.05

Do not reject the null hypothesis .

There is insufficient evidence to suggest that