Question 1062013: The following information is available.
H0 : μ ≥ 220
H1 : μ < 220
A sample of 64 observations is selected from a normal population. The sample mean is 215, and the population standard deviation is 15. Conduct the following test of hypothesis using the .025 significance level.
a. Is this a one- or two-tailed test?
One-tailed test
Two-tailed test
b.
What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
H0 when z <
c.
What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)
Value of the test statistic
d. What is your decision regarding H0?
Do not reject
Reject
e. What is the p-value? (Round your answer to 4 decimal places.)
p-value
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The following information is available.
H0 : μ ≥ 220
H1 : μ < 220
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A sample of 64 observations is selected from a normal population. The sample mean is 215, and the population standard deviation is 15. Conduct the following test of hypothesis using the .025 significance level.
a. Is this a one- or two-tailed test?:: 1-tail (H1 tells you that)
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b. What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
invNorm(0.025) = -1.96
Reject Ho if z < -1.96
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c. What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)
z(215) = (215-220)/[15/sqrt(64)] = -2.6667
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d. What is your decision regarding H0? Reject Ho
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e. What is the p-value? (Round your answer to 4 decimal places.)
p-value = p(z < -2.667) = normalcdf(-100,-2.667) = 0.0038
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Cheers,
Stan H.
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