Question

6.30 A random sample of \( n=64 \) observations is drawn from a population with a mean equal to 20 and standard deviation equal to 16. a. Give the mean and standard deviation of the (repeated) samplin

Answer 1

The sampling distribution of the sample means in this case will have a mean equal to the population mean of 50 and a standard deviation of 0.6325.

Step-by-step explanation:

The sampling distribution of the sample means in this case will have a mean equal to the population mean, which is 50. The standard deviation of the sampling distribution can be calculated using the formula σ/√n, where σ is the population standard deviation and n is the sample size. In this case, the population standard deviation is 4 and the sample size is 40. Therefore, the standard deviation of the sampling distribution of the sample means would be 4/√40, which is approximately 0.6325.