Question 140976: A digital camcorder repair service has set a goal not to exceed an average of 5 working days from the time the unit is brought in to the time repairs are completed. A random sample of 12 repair records showed the following repair (in days) 9,2,5,1,5,4,7,5,11,3,7,2. At a=.05 is the goal being met?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A digital camcorder repair service has set a goal not to exceed an average of 5 working days from the time the unit is brought in to the time repairs are completed. A random sample of 12 repair records showed the following repair (in days) 9,2,5,1,5,4,7,5,11,3,7,2. At a=.05 is the goal being met?
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Ho: u <= 5 (goal)
Ha: u > 5
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x-bar = 5.08333333...
s = 2.998737....
t(5.08333) = (5.08333 - 5)/2.9987.../sqrt(12) = 0.096267
p-value for one-tail test with df=11 is P(0.096267 < t < 10) = 0.4625...
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Conclusion:
Since p-value is greater than 5% fail to reject Ho.
The goal is being met.
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Cheers,
Stan H.
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