1. For the population of heights given:
a. What is E(y) for all random samples of size 10?
b. What is V(y) for all random samples of size 10?
2. Six female college students have heights (in inches) as follows: 62, 64, 65, 66, 65, 68. If these 6 students are considered to be a population from which sampling is done with replacement:
a. Draw the frequency distribution of the population.
b. Find the sampling distribution of averages for all samples of size 2 (with replacement) taken from this population. Draw its graph.
c. Find the population mean.
d. Find the mean of the sampling distribution of averages and confirm that it is the same as the population mean.
e. Find the variance of the population.
f. Find the variance of the sampling distribution of averages for samples of size n = 2 from the population variance.