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 µ?
b. For this example (n = 100, σ = 10), complete each of the following statements by computing the appropriate value:
i. Approximately 95% of the time, x will be within _____ of µ.
ii. Approximately 0.3% of the time, x will be farther than _____ from µ.