SOLUTION: A machine used to fill half-gallon-sized milk containers is regulated so that the amount of milk dispensed has a mean of 64 ounces and a standard deviation of 0.11 ounces. You rand

Question 456847: A machine used to fill half-gallon-sized milk containers is regulated so that the amount of milk dispensed has a mean of 64 ounces and a standard deviation of 0.11 ounces. You randomly select 40 containers and carefully measure the contents. The sample mean of the containers is 64.05 ounces Does the machine need to be reset? Explain your reasoning.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A machine used to fill half-gallon-sized milk containers is regulated so that the amount of milk dispensed has a mean of 64 ounces and a standard deviation of 0.11 ounces.
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You randomly select 40 containers and carefully measure the contents. The sample mean of the containers is 64.05 ounces Does the machine need to be reset? Explain your reasoning.
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Ho: u = 64
Ha: u is not 64
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x-bar = 64.05
t(65.05) = (64.05-64)/[0.11/sqrt(40)] = 2.8748
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p-value = 2*P(t > 2.8748 when df=39) = 0.006516..
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Since the p-value is less than 1%, reject Ho at
the 1% level of significance.
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Test results support resetting the machine.
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Cheers,
Stan H.

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