The USA Today 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 49 male consumers was $135.67, and the average expenditure in a sample survey of 38 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 $21. a. What is the point estimate of the difference between the population mean expenditure for males and the population mean expenditure for females (to 2 decimals)? b. At 99% confidence, what is the margin of error (to 2 decimals)? c. Develop a 99% confidence interval for the difference between the two population means (to 2 decimals). Use z-table.
The USA Today 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 49 male consumers was $135.67, and the average expenditure in a sample survey of 38 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 $21. a. What is the point estimate of the difference between the population mean expenditure for males and the population mean expenditure for females (to 2 decimals)? b. At 99% confidence, what is the margin of error (to 2 decimals)? c. Develop a 99% confidence interval for the difference between the two population means (to 2 decimals). Use z-table.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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![The *USA Today* 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 49 male consumers was $135.67, and the average expenditure in a sample survey of 38 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 $21.
a. What is the point estimate of the difference between the population mean expenditure for males and the population mean expenditure for females (to 2 decimals)?
[Text box]
b. At 99% confidence, what is the margin of error (to 2 decimals)?
[Text box]
c. Develop a 99% confidence interval for the difference between the two population means (to 2 decimals). Use z-table.
([Text box], [Text box])](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff702feb7-178f-43b5-89e7-1452a507e5d6%2Ff8551687-4a87-4d68-9c1a-7459207e8760%2Fr8esqv8_processed.png&w=3840&q=75)
Transcribed Image Text:The *USA Today* 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 49 male consumers was $135.67, and the average expenditure in a sample survey of 38 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 $21.
a. What is the point estimate of the difference between the population mean expenditure for males and the population mean expenditure for females (to 2 decimals)?
[Text box]
b. At 99% confidence, what is the margin of error (to 2 decimals)?
[Text box]
c. Develop a 99% confidence interval for the difference between the two population means (to 2 decimals). Use z-table.
([Text box], [Text box])
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