Question 1147030: A researcher reports that the average salary of teachers is more than $50,000, A sample of 25 teachers has a mean annual salary of $51,000. At alpha=.05, test the hypothesis that teachers earn more than $50,000 a yr. The standard deviation of the sample of 25 teachers is $2,000. (be sure to show your graphic, hypothesis setup, identify the appropriate statistic (Z or t), find the critical value from the appropriate table, compute your test statistics, and state your decision.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Ho: salary <=50000
Ha:>50000
alpha=0.05 P{reject Ho|Ho true)
test statistic is a t df=24
critical value is t>1.711
SD of pop is estimated from sample, so use t
t (df=24)=(x bar-mean)/s/sqrt(n)
>1000/2000/sqrt(25)
>2.5
reject Ho, conclude salary >50000.
p=0.01
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