Question 1039504: I have tried so many different formulas to figure out the answers and I can't figure it out. If you could provide some work so I can see how it is done, I'd greatly appreciate it!
A sample of 40 observations is selected from a normal population. The sample mean is 31, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.05 significance level.
H0 : μ ≤ 30
H1 : μ > 30
What is the decision rule? (Round your answer to 3 decimal places.)
H0, when z > ?
What is the value of the test statistic? (Round your answer to 2 decimal places.)
What is the p-value? (Round your answer to 4 decimal places.)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A sample of 40 observations is selected from a normal population. The sample mean is 31, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.05 significance level.
H0 : μ ≤ 30
H1 : μ > 30
What is the decision rule? (Round your answer to 3 decimal places.)
t > invT(0.95,39) = 1.685
H0, when z > ?
What is the value of the test statistic? (Round your answer to 2 decimal places.)
TS = t(31) = (31-30)/[3/sqrt(40)] = 2.11
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What is the p-value? (Round your answer to 4 decimal places.)
p-value = p(t > 2.11 when df = 39) = tcdf(2.11,100,39) = 0.0207
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Cheers,
Stan H.
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