The USA Today reports that the average expenditure on Valentine’s Day is $100.89. Do male and female consumers differ in the amounts they spend? The average expenditure in a sample survey 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. a) State the null and alternative hypotheses to test. (2 points) b) What is the z-value and corresponding p-value? (2 points) c) What is the critical value of z for alpha = 0.01? (2 points) d) Do male and female spend the same amount for Valentine’s Day? (1 point)