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, there is sufficient evidence to conclude that the standard deviation of the amount filled by the machine is not exactly 0.5 ounces when using a 5% level of significance.

Question

Quizplus · Accepted Answer

To determine if there is sufficient evidence, a chi-square test for variance should be conducted. With a sample size of 15 and a 5% significance level, the calculated chi-square statistic must be compared to the critical values. Without performing the actual calculations, we cannot conclude if the evidence is sufficient.

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