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,
[tex]n=100\text{ and n}\ge30[/tex]
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.
