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QuizMultiple Choice

Sampling Distribution of the Sample Mean — Unit test

Question 1 • NC-Math 4

The prices of pants at a large clothing store chain are skewed left with a mean of $32 and a standard deviation of $20. The manager at one of the stores randomly selects 30 pairs of pants. What is the shape of the distribution of the sample mean for all possible random samples of size 30 from this population?

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

Explanation

The sample size is 30, which is large enough for the Central Limit Theorem to make the sampling distribution of the sample mean approximately Normal, even though individual pant prices are skewed left. Thus, the distribution of sample means is approximately Normal (choice C).

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