SOLUTION: The Hinton Valley Bottling Company distributes cola in bottles labeled 32oz. An inspector randomly chooses 50 of these bottles, measures their contents, and obtains a sample me

Question 1177609: The Hinton Valley Bottling Company distributes cola in bottles labeled 32oz. An
inspector randomly chooses 50 of these bottles, measures their contents, and obtains a
sample mean of 31.4oz. and a sample standard deviation of 1.75oz. Using a 0.01 level of
significance, test the inspector’s claim that the company is cheating the consumers. Find
the p-value for this test.

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
with assumptions of normality, etc.
Ho: mean is >=32 oz
Ha: mean < 32 oz, using a right tail test, since there is a suspicion of cheating, rather than not 32 oz.
alpha=0.01 prob {reject Ho|Ho true}
test is a t 0.995 df=49
critical value |t|>2.405
test statistic is t= (xbar-mean)/s/sqrt(n)
=-0.6*sqrt(50)/1.75
=2.42
Reject null hypothesis at the 0.01 level for this one tail test and supports the claim.
p-value=0.00953

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