Ages of ProofreadersAt a large publishing company, the mean age of proofreaders is

36.2

years and the standard deviation is3.7

years. Assume the variable is normally distributed. Round intermediatez

-value calculations to two decimal places and the final answers to at least four decimal places.

Part 1 of 2

If a proofreader from the company is randomly selected, find the probability that his or her age will be between36.5

and38

years.=

P

<

36.5

<

X

38

Part:1 / 2

1 of 2 Parts Complete

Part 2 of 2

If a random sample of30

proofreaders is selected, find the probability that the mean age of the proofreaders in the sample will be between36.5

and38

years. Assume that the sample is taken from a large population and the correction factor can be ignored.=

P

<

36.5

<

X

38