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.
Part 1.
Note that n=50>30. So, we can use central limit theorem.
Part 2.
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