9
QuizMultiple Choice

Sampling Distribution of the Sample Mean

Question 9 • NC-Math 4

The daily temperatures for the winter months in Virginia are Normally distributed with a mean of 59°F and a standard deviation of 10°F. A random sample of 10 temperatures is taken from the winter months and the mean temperature is recorded. What is the mean of the sampling distribution of the sample mean for all possible random samples of size 10 from this population?

Answer
A
5.9
B
10
C
18.7
D
59

Explanation

The mean of the sampling distribution of the sample mean is equal to the population mean. The population’s mean temperature is 59°F, so the sampling distribution also has a mean of 59°F. The standard deviation and sample size affect the spread of the sampling distribution, not its mean.

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