For the following case, assume that the population standard deviation is known a

Question

For the following case, assume that the population standard deviation is known and decide whether use of the z-interval procedure to obtain a confidence interval for the population mean is reasonable. Explain your answer. The variable under consideration is very close to being normally distributed, and the sample size is 10. Choose the correct answer below. A. It is not reasonable to use the z-interval procedure in this case because the sample is too small (size less than 15). B. It is reasonable to use the z-interval procedure in this case since both the sample is large (size 10 or greater) and the variable under consideration is very close to being normally distributed. C. It is reasonable to use the z-interval procedure in this case since although the sample is small (size less than 15), the variable under consideration is very close to being normally distributed. D. It is not reasonable to use the z-interval procedure in this case since it is very likely that with such a small sample size that there will be outliers in the sample. Knowing that the variable under consideration is very close to normally distributed does not mean the sample is.

Explanation / Answer

Option (D) is correct

Since population standard deviation is known but the sample size is less than 30.

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