Question 1119301
The director of 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.	State the appropriate null and alternative hypotheses.
Ho: u >= 30,000
Ha: u < 30,000
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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)?
z(29,750) = (29750-30000)/(2500/sqrt(100)) = -1
critical value:: -1*2500+30000 = $27,500
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c.	Referring to your answer in part b, what conclusion should be reached with respect to the null hypothesis?
Ans: Fail to reject Ho
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d.	Referring to your answer in part c, which of the two statistical errors might have been made in this case? Explain.
Ans: Type I Error
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Cheers,
Stan H.
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