Question

# 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.

1. 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)?
2. At 99% confidence, what is the margin of error (to 2 decimals)?
3. Develop a 99% confidence interval for the difference between the two population means (to 2 decimals). Use z-table.

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.

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