Question

Population has a mean μ=148 and a standard deviation σ=26. Find

the mean and standard deviation of the sampling distribution of
sample means with sample size n=42

Answer 1

The mean of the sampling distribution of sample means is equal to the mean of the population. The standard deviation of the sampling distribution of sample means is equal to the standard deviation of the population divided by the square root of the sample size.

Step-by-step explanation:

The mean and standard deviation of the sampling distribution of sample means can be calculated using the formulas:

Mean of sampling distribution = mean of the population = μ = 148

Standard deviation of sampling distribution = standard deviation of the population divided by the square root of the sample size = σ/√n = 26/√42 ≈ 3.97