SOLUTION: Claim: The mean time between uses of a TV remote control by males during commercials equals 5.0 seconds. Find the test statistic, p-value, critical value(s), and state the final

Algebra ->  Probability-and-statistics -> SOLUTION: Claim: The mean time between uses of a TV remote control by males during commercials equals 5.0 seconds. Find the test statistic, p-value, critical value(s), and state the final       Log On


   



Question 181294This question is from textbook
: Claim: The mean time between uses of a TV remote control by males during commercials equals 5.0 seconds. Find the test statistic, p-value, critical value(s), and state the final conclusion.

Sample data: n = 80, x-bar = 5.25 sec. Assume that s = 2.50 sec and the significance level is a = .01. (Use p-value approach)
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Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Claim: The mean time between uses of a TV remote control by males during commercials equals 5.0 seconds. Find the test statistic, p-value, critical value(s), and state the final conclusion.
Sample data: n = 80, x-bar = 5.25 sec. Assume that s = 2.50 sec and the significance level is a = .01. (Use p-value approach)
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Comment: You have not indicated if you have been told to use a Z-test
or a T-test.
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I'll use Z-test Data:
critical value for right-tail test with alpha = 1% is z = 2.326
test statistic: z(5.25) = (5.25-5)/[2.5/(sqrt(80)] = 0.8944..
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Assuming you are performing a right-tail test, the p-value
is P(z>0.8944) = 0.1855.. = 18.55%
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Conclusion: Since p-value is greater than 1%, Fail to reject Ho.
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Cheers,
Stan H.