8
QuizMultiple Choice
Sampling Distribution of the Sample Mean — Unit test
Question 8 • NC-Math 4
The proportion of students at a large high school who live within five miles of the school is p = 0.19. The principal takes a random sample of 17 students from this school. Which is the best description of the shape for the sampling distribution of ?
Answer
A
The sampling distribution of is approximately Normal because .B
Because , the sampling distribution of is not approximately Normal. The sampling distribution of is skewed left and centered at 0.81.
C
Because , the sampling distribution of is not approximately Normal. Because p = 0.19 is closer to 0 than 1, the sampling distribution of is skewed to the left.D
Because , the sampling distribution of is not approximately Normal. Because p = 0.19 is closer to 0 than 1, the sampling distribution of is skewed to the right.