TABLE 12-14
A filling machine at a local soft drinks company is calibrated to fill the cans at an average 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 indeed 0.5 ounces. A random sample of 15 cans filled by the machine reveals a standard deviation of 0.67 ounces.
-Referring to Table 12-14, which is the appropriate test to use?

Question

Quizplus · Accepted Answer

The appropriate test to use in this situation is the ç2-test of population variance. This test is used to determine whether a population variance is equal to a specific value. In this case, the null hypothesis would be that the population variance is equal to 0.5 ounces, and the alternative hypothesis would be that the population variance is greater than 0.5 ounces. By using the sample standard deviation of 0.67 ounces and the sample size of 15, we can calculate the test statistic and compare it to the critical value from the ç2 distribution.

TABLE 12-14 A Filling Machine at a Local Soft Drinks Company Is