An economist is studying salaries for high technology companies and wants to test the claim that the average salary for high tech employees is less than $70,000. The economist selects a sample of 35 random employees from various high tech companies and records their salaries.  Based on past studies, the economist determines that the population standard deviation is $8,500. The economist conducts a one-mean hypothesis test at the 5% significance level to test the claim that the average salary for high tech employees is less than $70,000. Which is the correct setup for the null and alternative hypothesis for this example? Select the correct answer below: H0:μ=70,000; Ha:μ<70,000, which is a left-tailed test. H0:μ=70,000; Ha:μ>70,000, which is a right-tailed test H0:μ<70,000; Ha:μ=70,000, which is a left-tailed test. H0:μ>70,000; Ha:μ=70,000, which is a left-tailed test.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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An economist is studying salaries for high technology companies and wants to test the claim that the average salary for high tech employees is less than $70,000.

The economist selects a sample of 35 random employees from various high tech companies and records their salaries.  Based on past studies, the economist determines that the population standard deviation is $8,500.

The economist conducts a one-mean hypothesis test at the 5% significance level to test the claim that the average salary for high tech employees is less than $70,000.

Which is the correct setup for the null and alternative hypothesis for this example?

Select the correct answer below:

H0:μ=70,000; Ha:μ<70,000, which is a left-tailed test.

H0:μ=70,000; Ha:μ>70,000, which is a right-tailed test

H0:μ<70,000; Ha:μ=70,000, which is a left-tailed test.

H0:μ>70,000; Ha:μ=70,000, which is a left-tailed test.

 

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