Question 863153: Science fiction novels average 250 pages in length. The average length of 10 randomly chosen novels written by I. M. Wordy was 295 pages in length with a standard deviation of 60. At = .05, are Wordy's novels significantly longer than the average science fiction novel?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Science fiction novels average 250 pages in length. The average length of 10 randomly chosen novels written by I. M. Wordy was 295 pages in length with a standard deviation of 60. At = .05, are Wordy's novels significantly longer than the average science fiction novel?
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Ho: u <= 250
Ha: u > 250 (claim)
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t(295) = (295-150)/[60/sqrt(10)] = 2.37
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p-value = tcdp(2.37,100,9) = 0.0210
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Conclusion: Since the p-value is less than 5%, reject Ho.
The test results support the claim.
Cheers,
Stan H.
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