8.18 Suppose that a sample of size 100 is to be drawn from a population with standard deviation 10.

a. What is the probability that the sample mean will be within 1 of the value of m?

b. For this example (n 5 100, s 5 10), complete each of the following statements by computing the appropriate value:

i. Approximately 95% of the time, x will be within _____ of m.

ii. Approximately 0.3% of the time, x will be farther than _____ from m.