AnswersNC-Math 4Sampling Distribution of the Sample MeanQuestion 5
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AssignmentMultiple Choice

Sampling Distribution of the Sample Mean

Question 5 • NC-Math 4

The amount of orange juice that can be obtained from a single orange is Normally distributed. A manufacturing company selects an SRS of size n = 5 from the population of all oranges in their inventory and calculates the sample mean amount of orange juice that is obtained. What is the shape of the distribution of the sample mean for all possible simple random samples of size 5 from this population?

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

Explanation

Because the amount of juice per orange is Normally distributed, the sample mean is also Normally distributed for any sample size, including n = 5. Therefore, the distribution of sample means is approximately Normal (in fact, exactly Normal).

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