Teachers' Salaries in ConnecticutThe average teacher's salary in Connecticut (ranked first among states) is

$

57,337

.Suppose that the distribution of salaries is normal with a standard deviation of$

7500

.Round intermediatez

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

Part 1 of 2

Your Answer is correct

(a)What is the probability that a randomly selected teacher makes less than$

47,100

per year?

=

P

<

X

47,100

0.0869

Part:1 / 2

1 of 2 Parts Complete

Part 2 of 2

(b)If we sample50

teachers' salaries, what is the probability that the sample mean is less than$

56,300

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

=

P

<

X

56,300