23
QuizMultiple Choice

Unit Test — Unit test

Question 23 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

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 shape of the sampling distribution for ?

Question illustration
Answer
A
skewed right since the populations are both right skewed
B
skewed right since the differences in salaries cannot be negative
C
approximately Normal since both sample sizes are greater than 30
D
approximately Normal since the sum of the sample sizes is greater than 30
Previous
Next