Teachers’ SalariesThe average annual salary for all U.S.

Chapter 6, Problem 2E

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QUESTION:

Problem 2E

Teachers’ SalariesThe average annual salary for all U.S. teachers is $47,750. Assume that the distribution is normal and the standard deviation is $5680. Find the probability that a randomly selected teacher earns

a. Between $35,000 and $45,000 a year

b. More than $40,000 a year

c. If you were applying for a teaching position and were offered $31,000 a year, how would you feel (based on this information)?

Questions & Answers

QUESTION:

Problem 2E

Teachers’ SalariesThe average annual salary for all U.S. teachers is $47,750. Assume that the distribution is normal and the standard deviation is $5680. Find the probability that a randomly selected teacher earns

a. Between $35,000 and $45,000 a year

b. More than $40,000 a year

c. If you were applying for a teaching position and were offered $31,000 a year, how would you feel (based on this information)?

ANSWER:

Solution

Step 1 of 3

The given annual average salary for US teachers is $47,750

And the standard deviation is $5,680

a) We have to find the probability of a randomly selected teacher earns between $35,000 and $45,000 a year

Now

                                                   =

                                                   =

                                                   =

                                                   =

Hence the probability of a randomly selected teacher earns between $35,000 and $45,000 a year is 0.30306


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