3M Corporation gives each of its employees an aptitude test. The scores on the test are normally distributed with a mean of 75 and a standard deviation of 15. A simple random sample of 25 is taken from a population of 500. a. What is standard error of the sampling distribution of ? b. What is the probability that the average aptitude test in the sample will be between 70.14 and 82.14? c. What is the probability that the average aptitude test in the sample will be greater than 82.68? d. What is the probability that the average aptitude test in the sample will be less than 78.69?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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  1. 3M Corporation gives each of its employees an aptitude test. The scores on the test are normally distributed with a mean of 75 and a standard deviation of 15. A simple random sample of 25 is taken from a population of 500.

a.

What is standard error of the sampling distribution of ?

b.

What is the probability that the average aptitude test in the sample will be between 70.14 and 82.14?

c.

What is the probability that the average aptitude test in the sample will be greater than 82.68?

d.

What is the probability that the average aptitude test in the sample will be less than 78.69?

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