Question

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 point estimate of the difference between the
population mean expenditure for males and the population mean
expenditure for females (to 2 decimals)?
- At 99% confidence, what is the margin of error (to 2
decimals)?
- Develop a 99% confidence interval for the difference between
the two population means (to 2 decimals). Use
*z*-table.

Answer #1

As the confidence interval doesn't contains '0' this means there is a difference between the two means .

So there is evidence that the male and female consumers differ in the amount they spend.

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.
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 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 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...

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 34 female consumers was $68.64. Based on past
surveys, the standard deviation for male consumers is assumed to be
$40, 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 female consumers differ in
the amounts they spend? The average expenditure in a sample survey
of 42 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
$31, and the standard deviation for female consumers is assumed to
be $17.
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 43 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
$31, and the standard deviation for female consumers is assumed to
be $16.
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 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
$33, 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 47 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
$39, and the standard deviation for female consumers is assumed to
be $24.
What is...

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