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In: Statistics and Probability

An average of 12 ounces of beer is used to fill each bottle in a local...

An average of 12 ounces of beer is used to fill each bottle in a local brewery as recorded. The manager now believes that, in general, beer bottles are overfilled. He takes a random sample of 30 bottles to test. The sample mean weight of the bottles is 12.8 ounces with a standard deviation of 1.5 ounces. Conduct a one-sample t-test to test whether the beer bottles are overfilled. Use 5% level of significance. (Round your steps to 4 decimal places, round the t test statistic to 3 decimal places)

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