MNM Corporation Gives Each of Its Employees an Aptitude Test $\bar{x}$

question 31

Essay

MNM 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 are the expected value,the standard deviation,and the shape of the sampling distribution of $\bar{x}$ ?
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?
e.Find a value,C,such that P( $\bar{x}$ $\ge$ C)= .015.

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Definitions:

Decision Management

The process of making business decisions through repeatable and manageable methodologies, often aided by specialized software.

Standard Costs

Predetermined costs for materials, labor, and overheads used as benchmarks to evaluate actual production or manufacturing costs.

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Academic Term

A period of study in an educational institution, often divided into semesters, trimesters, or quarters.