SOLUTION: A random sample of movie lengths in minutes is as follows: 110 95 131 257 118 153 8. Find the standard deviation. 9. Are any of these movie lengths considered unusual in the se

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Question 610020: A random sample of movie lengths in minutes is as follows:
110 95 131 257 118 153
8. Find the standard deviation.
9. Are any of these movie lengths considered unusual in the sense of our textbook?
Explain. Does this differ with your intuition? Explain.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A random sample of movie lengths in minutes is as follows:
110 95 131 257 118 153
8. Find the standard deviation.
Ans: 58.74
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9. Are any of these movie lengths considered unusual in the sense of our textbook?
Explain.
Sample mean = 114
2 standard deviations is the limit for "unusual":
2 standard deviations below is negative
2 standard deviations above is 114 + 2*58.74 = 231.48
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So 257 minutes is "unusual" movie length.
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Cheers,
Stan H.
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Does this differ with your intuition? Explain.
No; most movies are right around 2 hours or 120 minutes.
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Cheers,
Stan H.
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