Question

Suppose a researcher is interested in answering the following question: Is there a difference between the mean body temperatures for men and women? He collects data on body temperature and gender from a random sample of 130 men and women. The data collected is shown in the table below. Calculate a 95% confidence interval to answer the researcher’s question.

	Mean	Standard Deviation	Sample Size
Males	98.105	0.699	65
Females	98.394	0.743	65

(A) Are the criteria for the t-distribution met? Explain and show any necessary calculations.

(B) Calculate a 95% confidence interval for the difference between mean body temperature for men and women. Show all necessary calculations including: (1) the sample mean difference, (2) the standard error and (3) the critical value.

(C) Based on your confidence interval, is there a difference between the mean body temperatures for men and women? If so, which is greater and by what estimated difference? If not, how do you know? Provide your answer as a sentence.

Answer 1