Do males and females differ in the amounts they spend on Valentine's Day? The average expenditure in a sample of 40 male consumers was $135.67 and the average expenditure in a sample survey of 30 female consumers was $68.64. Based on past surveys, the standard deviation for male consumers is assumed to be $35 and the standard deviation for female consumers is assumed to be $20.
Q. What is the test statistic for the desired hypothesis test?
Q. What is the appropriate conclusion at a 1% level of significance?
Q. If you instead wished to test whether the average Valentine's Day expenditure for males was more than $20 higher than that for females, how would that change your analysis?