AnswersNC-Math 4Sampling Distribution of the Sample MeanQuestion 9
9
QuizMultiple Choice

Sampling Distribution of the Sample Mean

Question 9 • NC-Math 4

The weights of gala apples follow a Normal distribution with a mean of 140 grams and a standard deviation of 12 grams. The owner of an apple orchard randomly selects 5 apples from the harvest and records the mean weight. What is the shape of the distribution of the sample mean for all possible random samples of size 5 from this population?

Answer
A
skewed left
B
skewed right
C
approximately Normal
D
approximately uniform

Explanation

The population of apple weights is Normally distributed, so the sampling distribution of the sample mean is Normal for any sample size, including 5. Its mean is 140 grams and its standard deviation is 12/√5 grams. Therefore, the correct choice is approximately Normal.

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