Consider a population consisting of four children with ages, in years, of 2, 5, 6, and 11. The population mean age is 6 years, and the population variance is 10.5 square years For simple random samples of size 2 taken with replacement, what are the mean and standard deviation of the sampling distribution of the sample mean age, in years?
A. Mean 3 and standard deviation 5, 25
B. Mean 3 and standard deviation 2.29
C. Mean 6 and standard deviation 4.24
C. Mean 6 and standard deviation 2.29
D. Mean 6 and standard deviation 1.87