3
QuizMultiple Choice

Sampling Distributions – Center and Variability

Question 3 • NC-Math 4

The owner of an apple orchard knows that the average weight of Granny Smith apples is 380 grams. A random sample of 40 apples was selected and the mean weight was calculated. Let μ = the true mean weight of the Granny Smith apples in the orchard. Which of the following means is least likely to occur if the true mean weight is 380 grams?

Answer
A
300 grams
B
350 grams
C
400 grams
D
450 grams

Explanation

For samples of 40 apples, the sample mean is centered around the true mean of 380 grams. Compare each choice’s distance from 380: 300 is 80 grams away, 350 is 30 away, 400 is 20 away, and 450 is 70 away. A sample mean farther from 380 is less likely, so 300 grams is least likely.

AI-written and checked against the verified answer.

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