Question 72377: The Hudson Valley Bottling Company distributes root beer in bottles labeled 32 ounces. The Bureau of Weights and Measures randomly selects 50 of these bottles, measures their contents and obtains a sample mean of 31.80 ounces with a standard deviation of 0.75 ounces (assume population values for mean and standard deviation). Using a 0.01 significance level, test the Bureaus claim that the company is cheating consumers. Indicate whether you would use a z score or t score, give the value of that score and the critical value to 2 decimal places, and state whether you "Reject" or "Fail to Reject" the null hypothesis.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The Hudson Valley Bottling Company distributes root beer in bottles labeled 32 ounces. The Bureau of Weights and Measures randomly selects 50 of these bottles, measures their contents and obtains a sample mean of 31.80 ounces with a standard deviation of 0.75 ounces (assume population values for mean and standard deviation). Using a 0.01 significance level, test the Bureaus claim that the company is cheating consumers. Indicate whether you would use a z score or t score, give the value of that score and the critical value to 2 decimal places, and state whether you "Reject" or "Fail to Reject" the null hypothesis
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Ho: u = 32
H1: u < 32 (Claim)
x-bar=31.8; s=0.75
COMMENT: Whether you use a t or z depends on your text.
If you use a t-score for 31.8 you get t= -1.8856
If you use a z-score for 31.8 you get z= -1.8856
The critical z value of alpha = 1% is -2.326
Fail to reject Ho.
Cheers,
Stan H.
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