Question

A paper describes a study in which researchers observed wait times in coffee shops in Boston. Both wait time and gender of the customer were observed. The mean wait time for a sample of 145 male customers was 85.9 seconds. The mean wait time for a sample of 141 female customers was 113.2 seconds. The sample standard deviations (estimated from graphs that appeared in the paper) were 50 seconds for the sample of males and 75 seconds for the sample of females. For purposes of this exercise, suppose that these two samples are representative of the populations of wait times for female coffee shop customers and for male coffee shop customers. Is there convincing evidence that the mean wait time differs for males and females? Test the relevant hypotheses using a significance level of 0.05. (Use a statistical computer package to calculate the P-value. Use μmales − μfemales. Round your test statistic to two decimal places

Answer 1