In each part, assume that the population standard deviation is known. Decide whether use of the z-interval

Question:

In each part, assume that the population standard deviation is known. Decide whether use of the z-interval procedure to obtain a confidence interval for the population mean is reasonable.
Explain your answers.
a. The sample data contain no outliers, the variable under consideration is roughly normally distributed, and the sample size is 20.
b. The of the variable under consideration is highly skewed, and the sample size is 20.
c. The sample data contain no outliers, the sample size is 250, and the variable under consideration is far from being normally distributed. Distribution
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