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Elementary Statistics: A Step By Step Approach | 9th Edition | ISBN: 9780073534985 | Authors: Allan Bluman
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Assume that the sample is taken from a large

Chapter 6, Problem 12E

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QUESTION:

Problem 12E

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

Teachers’Salaries in North DakotaThe average teacher’s salary in North Dakota is $37,764. Assume a normal distribution with σ = $5100.

a. What is the probability that a randomly selected teacher’s salary is greater than $45,000?

b. For a sample of 75 teachers, what is the probability that the sample mean is greater than $38.000?

Questions & Answers

QUESTION:

Problem 12E

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

Teachers’Salaries in North DakotaThe average teacher’s salary in North Dakota is $37,764. Assume a normal distribution with σ = $5100.

a. What is the probability that a randomly selected teacher’s salary is greater than $45,000?

b. For a sample of 75 teachers, what is the probability that the sample mean is greater than $38.000?

ANSWER:

Solution:

Step 1 of 3:

The average teacher’s salary in North Dakota is $37,764.

It follows the normal distribution with  = $5100.

We have to find the following probabilities.

  1. The probability that a randomly selected teacher’s salary is greater than $45,000.
  2. The probability that the sample mean is greater than $38000, for a sample of 75.

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