Question

A researcher measured the body temperature of a random sample of 64 adults and found the mean and standard deviation to be 36.83oC and 0.38oC, respectively. A temperature of 37.0°C is assumed to be “normal”. Do these data suggest otherwise?

a. Provide an answer using a test of hypothesis.

b. Provide an answer using a 95% confidence interval.

c. Briefly explain the difference between part (a) and part (b).

Answer 1

To Test :-

H0 :-  

H1 :-

Test Statistic :-

t = -3.5789

Test Criteria :-

Reject null hypothesis if

Result :- Reject null hypothesis

Conclusion :- Accept Alternative Hypothesis

Confidence Interval

Lower Limit = 36.7351

Upper Limit =

Upper Limit = 36.9249

95% Confidence interval is ( 36.7351 , 36.9249 )

Part c)

Since does not lies in the interval  ( 36.7351 , 36.9249 ) we can conclude to reject the null hypothesis.