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 46 male consumers was $136.75, and the average expenditure in a sample survey of 30 female consumers was $64.68. 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 $10. 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? 71.76 b. At 99% confidence, what is the margin of error? 16.70 c. Develop a 99% confidence interval for the difference between the two population means. 59.60 to 83.92

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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 46 male consumers was $136.75, and the average expenditure in a sample survey of 30 female
consumers was $64.68. 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 $10. 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?
71.76
b. At 99% confidence, what is the margin of error?
16.70
c. Develop a 99% confidence interval for the difference between the two population means.
59.60
to
83.92
Transcribed Image Text: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 46 male consumers was $136.75, and the average expenditure in a sample survey of 30 female consumers was $64.68. 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 $10. 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? 71.76 b. At 99% confidence, what is the margin of error? 16.70 c. Develop a 99% confidence interval for the difference between the two population means. 59.60 to 83.92
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