SOLUTION: A random sample of 121 observations from a population with a standard deviation of 50 yielded a sample mean of 150. Test the null hypothesis that the mean is 145 against the altern
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Question 382255: A random sample of 121 observations from a population with a standard deviation of 50 yielded a sample mean of 150. Test the null hypothesis that the mean is 145 against the alternative at 10% level of significance.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A random sample of 121 observations from a population with a standard deviation of 50 yielded a sample mean of 150. Test the null hypothesis that the mean is 145 against the alternative at 10% level of significance.
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Ho: u = 145
Ha: u is not 145
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t(150) = (150-145)/[50/sqrt(121)] = 1.1
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p-value = 2*P(t >1.1 when df = 49) = 2*0.1383 = 26.6%
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Since the p-value is greater than 10%, fail to reject Ho
at the 10% significance level.
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Cheers,
Stan H.
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