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# Statistics of Mean Difference using Specific Example

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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 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. 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.