Question

Male mosquitos have pretty short lifespans. Males of a certain species have lifespans that are strongly skewed to the right with a mean of 888 days and a standard deviation of 666 days. A biologist collects a random sample of 505050 of these male mosquitos and observes them to calculate the sample mean lifespan. We can assume that the mosquitos in each sample are independent.

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

Answer 1

Approximately Normal

Explanation:

The sample size is large (n50≥30n), so the sampling distribution of the sample mean will be approximately normal even though the population is skewed.