Scores for a Standardized Test Are Normally Distributed with a Mean

question 83

Short Answer

Scores for a standardized test are normally distributed with a mean of 1200 and a standard deviation of 60. A sample of 36 scores is selected.
a.What is the probability that the sample mean will be larger than 1224?
b.What is the probability that the sample mean will be less than 1230?
c.What is the probability that the sample mean will be between 1200 and 1214?
d.What is the probability that the sample mean will be greater than 1200?
e.What is the probability that the sample mean will be larger than 73.46?

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Definitions:

Scientific Management

A theory of management that analyzes and synthesizes workflows to improve economic efficiency and labor productivity.

Training Costs

Expenses associated with the development and delivery of training programs to employees, aiming at enhancing their skills and knowledge for better job performance.

Employee Aptitudes

The natural talents or abilities that individuals possess, which may influence their performance and roles within a workplace.

Direct Connection

The immediate and straightforward link or relationship between two systems, processes, or people without intermediaries.