Question

# The average teacher salary in Nebraska is \$52,925 with a standard deviation of \$12,115.  We collect a...

The average teacher salary in Nebraska is \$52,925 with a standard deviation of \$12,115.  We collect a random sample of 50 Nebraska teachers and record their salary.

Part 1: (6 pts)

Check all necessary conditions in detail (not just yes or no) and give the sampling model and parameters to the nearest dollar.

Part 2: (6 pts)

What is the probability that the average teacher salary in our sample of 50 teachers is less than \$50,000? Find the z-score and probability. Be sure you use the appropriate p-value notation! Then write a sentence that summarizes your results.

#### Homework Answers

Answer #1

Part 1.

Note that n=50>30. So, we can use central limit theorem.

Part 2.

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