Question

Read image for instructionsSkewed to the left Skewed to the right Approximately normalUnknown; we don’t have enough information to determine the shape

Answer 1

Given:

The random sample of 100 resident is selected.

The central limit theorem states that the distribution of sample means approximates a normal distribution as a sample size gets larger, regardless of the population's distribution.

As the given sample size is,

`n=100\text{ and n}\ge30`

So, the sampling distribution of sample mean will be approximately normal. Since, the sample size of 100 resident is large.

Answer: the sampling distribution will be approximately normal.