# 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 48 male consumers was \$139.5, and the average expenditure in a sample survey of 37 female consumers was \$65.76. 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 \$16. The z value is 2.576. Round your answers to 2 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? 11.46 b. At 99% confidence, what is the margin of error? 1.96 c. Develop a 99% confidence interval for the difference between the two population means. 66.41 to 67.65 The National Association of Home Builders provided data on the cost of the most popular home remodeling projects. Sample data on cost in thousands of dollars for two types of remodeling projects are as follows. Excel File: data10-41.xlsx Kitchen Master Bedroom 17.8 Kitchen 25.2 17.4 22.8 21.9 19.7 Master Bedroom 18.0 22.9 26.4 24.8 26.9 24.6 23.0 19.7 16.9 21.8 23.6 21.0 a. Develop a two point estimate of the difference between the population mean remodeling costs for the two types of projects. Enter negative values as negative numbers. Point estimate = 8 -1.6 (Report in dollars with no commas in your answer.) b. Develop a 90% confidence interval for the difference between the two population means. (to 1 decimal and enter negative values as negative numbers) 90% CI (ni, na) -4.2906,1.0 in thousands of dollars.