In a Bottling Process, a Manufacturer Will Lose Money If

question 119

Multiple Choice

In a bottling process, a manufacturer will lose money if the bottles contain either more or less than is claimed on the label. Suppose a quality manager is interested in testing whether the mean number of millilitres (mL) of the product differs from the labelled amount of 20mL. The manager samples nine bottles and finds the sample mean is 19.7mL and the sample standard deviation is 0.3mL. Assume measurements are normally distributed.
-How would you define the rejection region for this test at ? = .05?

• A)t < -1.761
• B)t > 1.761
• C)t > 2.492 and t < -2.492
• D)t > 2.306 and t < -2.306
• E)t > 3.787

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