Chapter 8.2, Problem 18E

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

1. a. What is the probability that the sample mean will be within 1 of the value of μ?
2. b. For this example (n = 100， σ ＝ 10), complete each of the following statements by computing the appropriate value:
   1. i. Approximately 95% of the time， x̄ will be within of μ.
   2. ii. Approximately 0.3% of the time， x̄ will be farther than from μ.