Question

PLEASE HELP FAST!! IT IS URGENT!!

the salaries of professional baseball players are heavily skewed right with a mean of $3.2 million and a standard deviation of $2 million. The salaries of professional football players are also heavily skewed right with a mean of $1.9 million and a standard deviation of $1.5 million. A random sample of 40 baseball players' salaries and 35 football players' salaries is selected. The mean salary is determined for both samples. Let - represent the difference in the mean salaries for baseball and football players. Which of the following represents the standard deviation of the sampling distribution for xb - xf?
0.41 million
0.57 million
2.5 million
3.5 million​

Answer 1

The correct answer is: 0.57 million. The standard deviation of the sampling distribution for xb - xf is equal to the square root of the sum of the variances of the individual distributions, which is equal to √(2,000,000^2 + 1,500,000^2) = 0.57 million.