Question

For a population, the mean is 23,844 mm with a standard deviation of 8,316 mm. Determine the mean and standard deviation of a sampling distribution of size n = 20 pulled from this population.

Answer 1

Explanation:

The mean of a sampling distribution is equal to the mean of the population from which the samples are drawn. Therefore, the mean of the sampling distribution is also 23,844 mm.

The standard deviation of a sampling distribution can be calculated using the formula:

σ/√n

where σ is the standard deviation of the population and n is the sample size.

Substituting the given values, we get:

σ/√n = 8,316/√20 = 1,859.83

Therefore, the standard deviation of the sampling distribution is approximately 1,859.83 mm.