SOLUTION: Test the claim that the mean time between uses of a TV remote control by adults during commercials is not greater than 5.0 seconds. The standard deviation is known and equal 2.5 se

Question 423007: Test the claim that the mean time between uses of a TV remote control by adults during commercials is not greater than 5.0 seconds. The standard deviation is known and equal 2.5 seconds.
The mean of a SRS sample of size n=650 was measured and found to be 5.25 seconds. Use significance level of 0.01.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Test the claim that the mean time between uses of a TV remote control by adults during commercials is not greater than 5.0 seconds.
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Ho: u <= 5 seconds (claim)
Ha: u > 5 seconds
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The standard deviation is known and equal 2.5 seconds.
The mean of a SRS sample of size n=650 was measured and found to be 5.25 seconds. Use significance level of 0.01.
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t(5.25) = (5.25-5)/[2.5/sqrt(650)] = 2.5495
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p-value = P(t <= 2.5495 when df = 649) = 0.9945
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That p-value is enormous; since it's greater than 1%
fail to reject Ho.
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Cheers,
Stan H.
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