Question 310137
Their cycles at the end of the study were as follows: 25, 27, 25, 23, 24, 25, 26, and 25.
x-bar = 25 ; s = 1.1952
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Using the .05 level of significance, what should we conclude about the
theory that 24 hours is the natural cycle? (That is, does the average cycle length under these conditions differ significantly from 24 hours?) 
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(a) Use the steps of hypothesis testing.
Ho: u = 24
Ha: u is not equal to 24
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t(25) = (25-24)/[1.1952/sqrt(8)] = 2.3665
p-value = 2P(t> 2.3665 with df=7) = 2*0.0249 = 0.0499
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Conclusion: At the 5% significance level, reject Ho
because the p-value is less than 5%.
Note: They don't get any closer than this.

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(b) Sketch the distributions involved.
Have to leave that to you.
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(c) Explain your answer to someone who has never taken a course in statistics.
Have to leave that to you.
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Cheers,
Stan H.