A histogram of time spend eating and drinking each day is skewed right. Use this

Question

A histogram of time spend eating and drinking each day is skewed right. Use this result to explain why a large sample size is needed to construct a confidence interval for the mean time spend eating and drinking each day. A. The distribution of the sample mean will always be approximately normal. B. Since the distribution of time spend eating and drinking each day is normally distributed, the sample must be large so that the distribution of the sample mean will be approximately normal. C. The distribution of the sample mean will never be approximately normal. D. Since the distribution of time spend eating and drinking each day is a not normally distributed (skewed right) the sample must be large so that the distribution of the sample mean will be approximately normal.

Explanation / Answer

Option D. This is the theory what CLT says about skewed dist.

The histogram is skewed right.
But the Central limit therom says that if even though the population distribution is not normal distributed , the distribution of sample mean will be approzimately normal

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