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USA Today reports that the average expenditure on Valentine's Day was expected to be $100.89. Do male and female consumers differ in the amounts they spend? The average expenditure in a sample survey of 52 male consumers was $131.22, and the average expenditure in a sample survey of 39 female consumers was $63.54. 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 $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? 10.10 b. At 99% confidence, what is the margin of error? 17.29 c. Develop a 99% confidence interval for the difference between the two population means. 49.74 to 76.17

USA Today reports that the average expenditure on Valentine's Day was expected to be $100.89. Do male and female consumers differ in the amounts they spend? The average expenditure in a sample survey of 52 male consumers was $131.22, and the average expenditure in a sample survey of 39 female consumers was $63.54. 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 $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? 10.10 b. At 99% confidence, what is the margin of error? 17.29 c. Develop a 99% confidence interval for the difference between the two population means. 49.74 to 76.17

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Hint(s) Check My Work USA Today reports that the average expenditure on Valentine's Day was expected to be $100.89. Do male and female consumers differ in the amounts they spend? The average expenditure in a sample survey of 52 male consumers was $131.22, and the average expenditure in a sample survey of 39 female consumers was $63.54. 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 $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? 10.10 b. At 99% confidence, what is the margin of error? 17.29 c. Develop a 99% confidence interval for the difference between the two population means. 49.74 to 76.17
Transcribed Image Text:Hint(s) Check My Work USA Today reports that the average expenditure on Valentine's Day was expected to be $100.89. Do male and female consumers differ in the amounts they spend? The average expenditure in a sample survey of 52 male consumers was $131.22, and the average expenditure in a sample survey of 39 female consumers was $63.54. 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 $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? 10.10 b. At 99% confidence, what is the margin of error? 17.29 c. Develop a 99% confidence interval for the difference between the two population means. 49.74 to 76.17
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