4. The director of a state agency believes that the average starting salary for clerical employees in the state 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. a. a) State the appropriate null and alternative hypotheses. 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)?

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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c) what conclusion should be reached with respect to the null hypothesis?
Interpret the result.
Transcribed Image Text:c) what conclusion should be reached with respect to the null hypothesis? Interpret the result.
4. The director of a state agency believes that the average starting salary for
clerical employees in the state 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. a.
a) State the appropriate null and alternative hypotheses.
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)?
Transcribed Image Text:4. The director of a state agency believes that the average starting salary for clerical employees in the state 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. a. a) State the appropriate null and alternative hypotheses. 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)?
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