The population 2, 3, 5, 7 has mean μ = 4.25 and standard deviation σ = 1.92. When sampling with replacement, there are 16 different possible ordered samples of size 2 that can be selected from this population. The mean of each of these 16 samples is computed. For example, 1 of the 16 samples is (2, 5), which has a mean of 3.5. The distribution of the 16 sample means has its own mean and its own standard deviation. Which of the following statements is true?
a) The mean of the sample means is 4.25
b) The standard deviation of the sample means is 1.92
c) The mean of the sample means is 3.5
d) The standard deviation of the sample means is 1.36