Question

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, 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 $

Answer #1

Part a)

Point Estimate = = ( 137.67 - 65.64 ) = 72.03

Part b)

Margin of Error =

Confidence interval :-

Z(α/2) = Z (0.01 /2) = 2.576

Lower Limit =

Lower Limit = 51.43

Upper Limit =

Upper Limit = 92.63

**99% Confidence interval is ( 51.43 , 92.63 )**

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,...

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.
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the standard deviation for male consumers is assumed to be $45, and
the standard deviation for female consumers is assumed to be
$20.
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