SOLUTION: The students at Littlewood high school cut an average of 3.3 classes per week. Random sample of 117 senior averages 3.8 cuts per week, with a standard deviation of 0.53. Are senior

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Question 1041833: The students at Littlewood high school cut an average of 3.3 classes per week. Random sample of 117 senior averages 3.8 cuts per week, with a standard deviation of 0.53. Are seniors significantly different from the student body as a whole?
Answer by stanbon(75887) About Me  (Show Source):
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The students at Littlewood high school cut an average of 3.3 classes per week. Random sample of 117 senior averages 3.8 cuts per week, with a standard deviation of 0.53. Are seniors significantly different from the student body as a whole?
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Ho: u = 3.3
Ha: u # 3.3
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x-bar = 3.8
t(3.8) = (3.8-3.3)/[0.53/sqrt(117)] = 10.204
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p-value = 2*P(t > 10.204 when df = 116) = 1/10^18
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Since the p-value is less than 1% reject Ho at
the 99% significance level.
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The test results show the senior cut average is significantly
greater than 3.3.
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Cheers,
Stan H.
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