Question 291590: H0: µ ≤ 10
H1: µ > 10
The sample mean is 12, and the sample size is 36. The population follows the normal distribution and the standard deviation is 3. Use a .02 significance level.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! H0: µ ≤ 10
H1: µ > 10
The sample mean is 12, and the sample size is 36. The population follows the normal distribution and the standard deviation is 3. Use a .02 significance level.
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t(12) = (12-10)/[3/sqrt(12)] = 2.3094...
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p-value: P(t> 2.3094 when df=11) = 0.02067
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Whoa! That p-value is only 67/1000th above the significance mark.
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Conclusion: Since the p-value is greater than 2%, fail to reject Ho.
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Also, you should do more testing.
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Cheers,
Stan H.
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