The average expenditure on Valentine's Day was expected to be $100.89 ( USA Today , February 13, XXXXXXXXXXDo male and female consumers differ in the amounts they spend? The average expenditure in a...

The average expenditure on Valentine's Day was expected to be $100.89  (USA Today, February 13, 2006). Do male and female consumers differ in the amounts they spend? The average expenditure in a sample survey of 52 male consumers was $131.42, and the average expenditure in a sample survey of 37 female consumers was$61.92 . 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. The x value is 2.576 .

Round your answers to2  decimal places.

a.What is the point estimate of the difference between the population mean expenditure for males and the population mean expenditure for females?

b.At 99%  confidence, what is the margin of error?

c.Develop a 99% confidence interval for the difference between the two population means.