Question 295197: Given the following data set;
48, 32, 37, 35, 36, 42, 41, 40
Given a=0.05, test the hypothesis that the mean of the population from which this sample was chosen is less than 42
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Given the following data set;
48, 32, 37, 35, 36, 42, 41, 40
Given a=0.05, test the hypothesis that the mean of the population from which this sample was chosen is less than 42
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1st: Find the sample mean and sample std:
Add the numbers and devide by 8 to get x-bar = 38.875
std = 4.970
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2nd: Hypothesis:
Ho: u = 42
Ha: u < 42
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Critical Value for left tail test for mean with alpha =5% and df = 7:
t = invT(0.05,7) = -1.8946
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Test Statistic:
t(38.875) = (38.875-42)/4.970/sqrt(8)] = -1.7784
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p-value: P(t< -1.7784) = 0.05929
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Conclusion:
Since the p-value is greater than 5%, fail to reject Ho.
Note: This is the same as saying the test std is not in the reject interval.
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Cheers,
Stan H.
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