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The average expenditure on Valentine's Day was expected to be $100.89 (USA Today, February 13, 2006)....

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 50 male consumers was $135.13 and the average expenditure in a sample survey of 39 female consumers was $65.59. Based on past surveys, the standard deviation for male consumers is assumed to be $31 , and the standard deviation for female consumers is assumed to be $20. The value is 2.576.

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. _________ to _______

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