Question

You may need to use the appropriate appendix table or technology to answer this question. A...

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 $138.67, and the average expenditure in a sample survey of 30 female consumers was $61.64. 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 $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 $

Homework Answers

Answer #1
x1            = 138.67 x2            = 61.64
n1           = 40 n2           = 30
σ1           = 35.00 σ2           = 20.00

a)

Point estimate of differnce '=x1-x2 = 77.03

b)

std error σ1-2=√(σ21/n122/n2)    = 6.630
for 99 % CI value of z= 2.576
margin of error E=z*std error = 17.09

c)

lower bound=(x1-x2)-E = 59.952
Upper bound=(x1-x2)+E = 94.108
from above 99% confidence interval for population mean =(59.95 to 94.11)
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
You may need to use the appropriate appendix table or technology to answer this question. A...
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 $137.67, and the average expenditure in a sample survey of 30 female consumers was $65.64. Based on past surveys, the standard deviation for male consumers is assumed to be $45,...
A newspaper reports that the average expenditure on Valentine's Day is $100.89. Do male and female...
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 $136.67, and the average expenditure in a sample survey of 30 female consumers was $66.64. 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 $20. (a) What is...
A newspaper reports that the average expenditure on Valentine's Day is $100.89. Do male and female...
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 maleconsumers was $136.67, and the average expenditure in a sample survey of 30 female consumers was $66.64. 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...
Question Workspace Check My Work (2 remaining) The USA Today reports that the average expenditure on...
Question Workspace Check My Work (2 remaining) 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 40 male consumers was $135.67, and the average expenditure in a sample survey of 30 female consumers was $68.64. Based on past surveys, the standard deviation for male consumers is assumed to be $38, and the standard deviation for female consumers...
The USA Today reports that the average expenditure on Valentine's Day is $100.89. Do male and...
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 44 male consumers was $135.67, and the average expenditure in a sample survey of 31 female consumers was $68.64. Based on past surveys, the standard deviation for male consumers is assumed to be $32, and the standard deviation for female consumers is assumed to be $18. What is...
The USA Today reports that the average expenditure on Valentine's Day is $100.89. Do male and...
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 32 female consumers was $68.64. Based on past surveys, the standard deviation for male consumers is assumed to be $37, and the standard deviation for female consumers is assumed to be $19. What is...
The USA Today reports that the average expenditure on Valentine's Day is $100.89. Do male and...
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 50 male consumers was $135.67, and the average expenditure in a sample survey of 35 female consumers was $68.64. 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 $19. What is...
The USA Today reports that the average expenditure on Valentine's Day is $100.89. Do male and...
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 40 male consumers was $135.67, and the average expenditure in a sample survey of 30 female consumers was $68.64. Based on past surveys, the standard deviation for male consumers is assumed to be $39, and the standard deviation for female consumers is assumed to be $24. What is...
The USA Today reports that the average expenditure on Valentine's Day is $100.89. Do male and...
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 46 male consumers was $135.67, and the average expenditure in a sample survey of 35 female consumers was $68.64. Based on past surveys, the standard deviation for male consumers is assumed to be $30, and the standard deviation for female consumers is assumed to be $16. What is...
he USA Today reports that the average expenditure on Valentine's Day is $100.89. Do male and...
he 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 47 male consumers was $135.67, and the average expenditure in a sample survey of 32 female consumers was $68.64. Based on past surveys, the standard deviation for male consumers is assumed to be $36, and the standard deviation for female consumers is assumed to be $18. What is...