Suppose the salaries of teachers in your city are normally distributed with a mean of $50,000 and a standard deviation of $5,000. Suppose we take samples of size 25 teachers. a. Find the probability that the sample mean salary will exceed $52,000. b. Find the probability that the sample mean salary will be less than $47,000. c. Find the probability that the sample mean salary will be between $52,000 and $53,000.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose the salaries of teachers in your city are normally distributed with a mean of $50,000 and a standard deviation of $5,000. Suppose we take samples of size 25 teachers. a. Find the probability that the sample mean salary will exceed $52,000. b. Find the probability that the sample mean salary will be less than $47,000. c. Find the probability that the sample mean salary will be between $52,000 and $53,000.
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