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Name: Marta Human Resource manager has asserted that Marta workers work, on
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Description: Marta Human Resource manager has asserted that Marta workers work, on average, no more than three hours of overtime per week. Let assume that overtime hour is normally distributed with a standard deviation of 1.2 hours. The union leaders believe that

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Marta Human Resource manager has asserted that Marta workers work, on average, no more than three hours of overtime per week. Let assume that overtime hour is normally distributed with a standard deviation of 1.2 hours. The union leaders believe that this assertion is incorrect and that the actual mean overtime is more than three hours per week. The union leaders decide to test this claim and claim their conclusion on the sample result. They conduct a study on a sample of payroll records for 250 employees.

State the study, null, and alternative hypotheses, and Describe in your own words the meaning of Type I Type II error in the context of this case.
Establish the appropriate decision rule if the union leaders want to have no more than a 0.01 chance of a Type I error.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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