Q1 Suppose a population that is not normally distributed but symmetric has a mea

Question

Q1 Suppose a population that is not normally distributed but symmetric has a mean of 67.0 and a standard deviation of 33.5. If the sample size is 26, what does the central limit theory say about the sampling distribution of the mean?

a.The sampling distribution of the mean is normally distributed since the magnitude of the standard deviation is less than the mean.

b.The central limit theory says that real world data is close enough to being normally distributed to assume that the sampling distribution is also normally distributed.

c.We can never assume the sampling distribution of the mean is normally distributed if the population data is not normally distributed.

d.The sample size is large enough to assume the sampling distribution of the mean is normally distributed.

e.The sample size is not large enough to assume the sampling distribution of the mean is normally distributed.

Explanation / Answer

Sample size = 26, Parent distribution is not nomrllay distributed

e. The sample size is not large enough to assume the sampling distribution of the mean is normally distributed.

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