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You may need to use the appropriate appendix table or technology to answer this question. A newspaper reports that the average expenditure on Valentine's Day is $100.89. Do male and female consumers differ in the amounts they spend? The average expenditure in a sample survey of 40 male consumers was $132.67, and the average expenditure in a sample survey of 30 female consumers was $62.64. Based on past surveys, the standard deviation for male consumers is assumed to be $45, and the standard deviation for female consumers is assumed to be $20. (a) What is the point estimate (in dollars) of the difference between the population mean expenditure for males and the population mean expenditure for females? (Use male female.) (b) At 99% confidence, what is the margin of error (in dollars)? (Round your answer to the nearest cent.) $ (c) Develop a 99% confidence interval (in dollars) for the difference between the two population means. (Use male - female. Round your answer to the nearest cent.) $ to $

You may need to use the appropriate appendix table or technology to answer this question. A newspaper reports that the average expenditure on Valentine's Day is $100.89. Do male and female consumers differ in the amounts they spend? The average expenditure in a sample survey of 40 male consumers was $132.67, and the average expenditure in a sample survey of 30 female consumers was $62.64. Based on past surveys, the standard deviation for male consumers is assumed to be $45, and the standard deviation for female consumers is assumed to be $20. (a) What is the point estimate (in dollars) of the difference between the population mean expenditure for males and the population mean expenditure for females? (Use male female.) (b) At 99% confidence, what is the margin of error (in dollars)? (Round your answer to the nearest cent.) $ (c) Develop a 99% confidence interval (in dollars) for the difference between the two population means. (Use male - female. Round your answer to the nearest cent.) $ to $

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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You may need to use the appropriate appendix table or technology to answer this question. A newspaper reports that the average expenditure on Valentine's Day is $100.89. Do male and female consumers differ in the amounts they spend? The average expenditure in a sample survey of 40 male consumers was $132.67, and the average expenditure in a sample survey of 30 female consumers was $62.64. Based on past surveys, the standard deviation for male consumers is assumed to be $45, and the standard deviation for female consumers is assumed to be $20. (a) What is the point estimate (in dollars) of the difference between the population mean expenditure for males and the population mean expenditure for females? (Use male female.) $ (b) At 99% confidence, what is the margin of error (in dollars)? (Round your answer to the nearest cent.) $ (c) Develop a 99% confidence interval (in dollars) for the difference between the two population means. (Use male female. Round your answer to the nearest cent.) $ to $
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. A newspaper reports that the average expenditure on Valentine's Day is $100.89. Do male and female consumers differ in the amounts they spend? The average expenditure in a sample survey of 40 male consumers was $132.67, and the average expenditure in a sample survey of 30 female consumers was $62.64. Based on past surveys, the standard deviation for male consumers is assumed to be $45, and the standard deviation for female consumers is assumed to be $20. (a) What is the point estimate (in dollars) of the difference between the population mean expenditure for males and the population mean expenditure for females? (Use male female.) $ (b) At 99% confidence, what is the margin of error (in dollars)? (Round your answer to the nearest cent.) $ (c) Develop a 99% confidence interval (in dollars) for the difference between the two population means. (Use male female. Round your answer to the nearest cent.) $ to $
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