Question

The wingspans of a common species of housefly are normally distributed with a mean of 5mm and a standard deviation of 0.5mm. Suppose that a biologist regularly collects random samples of 20 of these houseflies and calculates the sample mean wingspan from each sample.

What will be the shape of the sampling distribution of the sample mean wingspan?

Answer 1

Approximately Normal

Explanation:

Since the population is normally distributed, the sampling distribution of the sample mean will also be normally distributed, even when the sample size is small.