The following 16 numbers came from normal random number generator on a computer:...

The following 16 numbers came from normal random number generator on a computer:

a. What would you guess the mean and variance (μ and σ²) of the generating normal distribution were?

b. Give 90%, 95%, and 99% confidence intervals for μ and σ².

c. Give 90%, 95%, and 99% confidence intervals for σ.

d. How much larger a sample do you think you would need to halve the length of the confidence interval for μ?