You may need to use the appropriate appendix tabie or technology to answerthis question. A newspaper 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 $131.57, and the average expenditure in a sample survey of 30 female consumers was $61.64. Based on past surveys, the standard deviation for male consumers is assumed to be $35, and the standard deviation for fernaie consumers is assumed to be $20. (a) What is the point estimate (In doHar's) of the difference between the population mean expenditure for males and the population mean expenditure for females? (Use n'iaie female.) $|:| (b) At 99% confidence, what is the margin of error (in doHais)? (Round your answer to the nearest cent.) $|:| (c) Develop a 99% condence interval (in dollars) for the differenoe between the two population means. (Use maie 7 female. Round your answer to the nearest cent.) $|:|t0$