Suppose a population that is not normally distributed but symmetric has a mean o

Question

Suppose a population that is not normally distributed but symmetric has a mean of 38.0 and a standard deviation of 12.7. If the sample size is 14, what does the central limit theory say about the sampling distribution of the mean? Select one: a. The sample size is large enough to assume the sampling distribution of the mean is normally distributed. b. The sample size is not large enough to assume the sampling distribution of the mean is 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 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. e. The sampling distribution of the mean is normally distributed since the magnitude of the standard deviation is less than the mean. f. There is not enough information to answer this question.

Explanation / Answer

Sample size = 14, Parent distribution is not nomrllay distributed

answer is

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

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