Suppose that a simple random sample is taken from a normal population having a standard deviation of 10 for the purpose of obtaining a 95% confidence interval for the mean of the population. a. If the...

Suppose that a simple random sample is taken from a normal population having a standard deviation of 10 for the purpose of obtaining a 95% confidence interval for the mean of the population.

a. If the sample size is 4, obtain the margin of error.
b. Repeat part (a) for a sample size of 16.
c. Can you guess the margin of error for a sample size of 64? Explain your reasoning.