Answer:
μ1 - μ2 = 67.03
Explanation:
Full 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 $31, and the standard deviation for female consumers is assumed to be $22. 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)?"
Given that:
For male: n1 = 40, x = 135.67, S1 = 31
For female: n2 = 30, x = 68.67, S2 = 22
The point estimate of the difference between the population mean expenditure for males and the population mean expenditure for females is:
μ1 - μ2 = x1 - x2
μ1 - μ2 = 135.67 - 68.67
μ1 - μ2 = 67.03
