In: Statistics and Probability
A local retail business wishes to determine if there is a difference in the mean preferred indoor temperature between men and women. Assume that the population standard deviations of preferred temperatures are equal between men and women. Two independent random samples are collected. Sample statistics of preferred temperatures are reported in the table below.
Sample size Mean (in Celsius) Standard deviation
Men (Group 1) 25 22.5 1.2
Women (Group 2) 22 20.1 1.4
Suppose that we perform a two-tailed test of the difference of population means, which of the following is the correct conclusion?