Question

The average expenditure on Valentine's Day was expected to be
$100.89 (*USA Today*, February 13, 2006). Do male and female
consumers differ in the amounts they spend? The average expenditure
in a sample survey of 56 male consumers was $130, and the average
expenditure in a sample survey of 34 female consumers was $66.
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 $14. 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?

**b.** At 99% confidence, what is the margin of
error?

**c.** Develop a 99% confidence interval for the
difference between the two population means.

Answer #1

The statistical software output for this problem is:

From above output:

a) Point estimate = **64**

b) Margin of error = (76.04 - 51.96)/2 =
**12.04**

c) 99% confidence interval:

(**51.96, 76.04**)

The average expenditure on Valentine's Day was expected to be
$100.89 (USA Today, February 13, 2006). Do male and female
consumers differ in the amounts they spend? The average expenditure
in a sample survey of 50 male consumers was $135.13 and the average
expenditure in a sample survey of 39 female consumers was $65.59.
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...

The average expenditure on Valentine's Day was expected to be
$100.89 (USA Today, February 13, 2006). Do male and female
consumers differ in the amounts they spend? The average expenditure
in a sample survey of 50 male consumers was $135.13 and the average
expenditure in a sample survey of 39 female consumers was $65.59.
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...

The average expenditure on Valentine's Day was expected to be
$100.89 (USA Today, February 13, 2006). Do male and female
consumers differ in the amounts they spend? The average expenditure
in a sample survey of 40 male consumers was $140, and the average
expenditure in a sample survey of 34 female consumers was $69.
Based on past surveys, the standard deviation for male consumers is
assumed to be $33, and the standard deviation for female consumers
is assumed to be...

The average expenditure on Valentine's Day was expected to be
$100.89 (USA Today, February 13, 2006). Do male and female
consumers differ in the amounts they spend? The average expenditure
in a sample survey of 52 male consumers was $140, and the average
expenditure in a sample survey of 38 female consumers was $62.
Based on past surveys, the standard deviation for male consumers is
assumed to be $33, and the standard deviation for female consumers
is assumed to be...

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$100.89 (USA Today, February 13, 2006). Do male and female
consumers differ in the amounts they spend? The average expenditure
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average expenditure in a sample survey of 39 female consumers was
63.35. 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...

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 43 male consumers was $135.67, and the average expenditure in a
sample survey of 37 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.
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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 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 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 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 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.
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