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 9 days and a standard deviation of 7 days. A biologist collects a random sample of 40 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?

A.Skewed to the right

B.Skewed to the left

C.Approximately normal

D.Insufficient data

Answer 1

The shape of the sampling distribution of the sample mean lifespan will be C. approximately normal.

Step-by-step explanation:

The shape of the sampling distribution of the sample mean lifespan will be approximately normal.

The Central Limit Theorem states that when the sample size is large enough, the sampling distribution of the sample mean will be approximately normally distributed, regardless of the shape of the population distribution. In this case, the fact that the population distribution is strongly skewed to the right does not affect the shape of the sampling distribution.

Therefore, the correct answer is C.Approximately normal.