9
QuizMultiple Choice

Sampling Distributions – Center and Variability

Question 9 • NC-Math 4

A farmer determines that, on average, his chickens lay a total of 16 eggs each day. A random sample of 10 days was taken, and the mean number of eggs was determined. Let μ = the true mean number of eggs the chickens lay each day. Which of the following values for the sample mean is the least likely to occur?

Answer
A
15
B
16
C
17
D
18

Explanation

The sample mean is centered around the true mean, μ = 16, so values farther from 16 are generally less likely. Of the choices, 18 is farthest away (2 eggs), while 15 and 17 are each 1 egg away. Therefore, 18 is the least likely sample mean.

AI-written and checked against the verified answer.

Previous
Next