TABLE 12-16
A filling machine at a local soft drinks company is calibrated to fill the cans at a mean amount of 12 fluid ounces and a standard deviation of 0.5 ounces. The company wants to test whether the standard deviation of the amount filled by the machine is 0.5 ounces. A random sample of 15 cans filled by the machine reveals a standard deviation of 0.67 ounces.
-Referring to Table 12-16, which is the appropriate test to use?
A) X²-test of independence
B) McNemar test
C) Wilcoxon rank sum test
D) X²-test of population variance

Question

Quizplus · Accepted Answer

The appropriate test to use in this case is the X²-test of population variance, as we want to test whether the sample standard deviation is significantly different from the population standard deviation. Option A and B are not applicable in this case, as they are used for testing independence between two variables. Option C, Wilcoxon rank sum test, is used for testing differences between two groups, and is not appropriate here as we only have one group of measurements. Thus, the best choice is D, X²-test of population variance.

TABLE 12-16 A Filling Machine at a Local Soft Drinks Company Is