SOLUTION: The manager of a driving school claims that the mean time taken to learn how to drive a car is 8 hours or less for all new drivers. A sample of 16 new drivers showed that the mean

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Question 233064: The manager of a driving school claims that the mean time taken to learn how to drive a car is 8 hours or less for all new drivers. A sample of 16 new drivers showed that the mean time taken by them to learn how to drive the car is 9.5 hours with a standard deviation of 1.5 hours. Test the manager�s claim at the 1% significance level.
a.Select the null and alternate hypothesis.
b.Determine the critical values of the test statistic.
c.Which equation listed below would you use?
Using the statistical calculator or manual calculation what is the observed statistic and what is your decision regarding the null hypothesis
Answer by stanbon(75887) (Show Source):
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The manager of a driving school claims that the mean time taken to learn how to drive a car is 8 hours or less for all new drivers. A sample of 16 new drivers showed that the mean time taken by them to learn how to drive the car is 9.5 hours with a standard deviation of 1.5 hours. Test the manager�s claim at the 1% significance level.
a.Select the null and alternate hypothesis.
Ho: u <= 8 (Claim)
Ha: u > 8
b.Determine the critical values of the test statistic.
The critical value is 2.6
The test statistic is t=4
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c.Which equation listed below would you use?
Using the statistical calculator or manual calculation what is the observed statistic and what is your decision regarding the null hypothesis
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I used a TI calculator to run a Ttest and got a test statistic of 4
and a p-value as listed below.
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Since the p-value = 0.0005797 is < than 1%, reject Ho.
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Cheers,
Stan H.