document.write( "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. \n" ); document.write( "

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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
\n" ); document.write( "----------------
\n" ); document.write( "Ho: u = 32
\n" ); document.write( "H1: u < 32 (Claim)
\n" ); document.write( "x-bar=31.8; s=0.75
\n" ); document.write( "COMMENT: Whether you use a t or z depends on your text.
\n" ); document.write( "If you use a t-score for 31.8 you get t= -1.8856
\n" ); document.write( "If you use a z-score for 31.8 you get z= -1.8856
\n" ); document.write( "The critical z value of alpha = 1% is -2.326
\n" ); document.write( "Fail to reject Ho.
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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