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Description: The director of a state agency believes that the average starting salary for clerical employees in the states is less than $30,000 per year. To test her hypothesis, she has collected a simple random sample of 100 starting clerical salaries from acros

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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The director of a state agency believes that the average starting salary for clerical employees in the states is less than $30,000 per year. To test her hypothesis, she has collected a simple random sample of 100 starting clerical salaries from across the state and found that the sample mean is $29,750. Find: A. State the appropriate null and alternative Hypothesis B. Assuming the population standard deviation is known to be $2,500 and the significance level for the test is to be 0.05, what is the critical value (stated in dollars)? C. Referring to your answer in part B, what conclusion should be reached with respect to the null hypothesis? D. Referring to your answer in part C, which of the two statistical errors might have been made in this case? Explain.

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