Question

1. A.C. Neilsen reported that children between the ages of two and five watch an average of 24 hours of television per week with standard deviation 4.5 hours. If random samples of 9 children between the ages of two and five were taken repeatedly and the sample means were computed, the sampling distribution of x would have a mean of ________________ hours and a standard deviation of ________________ hours. Explain.

Answer 1

Solution:

sampling distribution of x has mean equal population mean and standard deviation is equal to standard deviation/ sqrt(n)

n = 9

A.C. Neilsen reported that children between the ages of two and five watch an average of 24 hours of television per week with standard deviation 4.5 hours. If random samples of 9 children between the ages of two and five were taken repeatedly and the sample means were computed, the sampling distribution of xwould have a mean of 24 hours and a standard deviation of 1.5 hours.