Question

Suppose a simple random sample of size n = 49 is obtained from a population that is skewed right with μ=85 and σ=21.

Describe the sampling distribution of x.

Answer 1

The sampling distribution of x would have a mean of 85 and a standard deviation of 3.

Step-by-step explanation:

The sampling distribution of x in this case would have a mean of μ = 85 and a standard deviation of σ/√n = 21/√49 = 3.

Since the population is skewed right, the sampling distribution is also expected to be skewed right, but less so than the population distribution.

Therefore, the sampling distribution of x would have a mean of 85 and a standard deviation of 3.