SCENARIO 12-20
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 Scenario 12-20,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 to conclude that the standard deviation of the amount filled by the machine is not exactly 0.5 ounces, a hypothesis test specifically for variance or standard deviation (such as the Chi-Square test for variance) should be conducted. Without conducting this test and comparing the calculated test statistic to the critical value or p-value to the significance level, we cannot definitively conclude there is sufficient evidence to reject the null hypothesis that the standard deviation is 0.5 ounces based solely on the sample standard deviation being different from the population standard deviation.

SCENARIO 12-20 A Filling Machine at a Local Soft Drinks Company Is