SCENARIO 12-21
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 12-21, 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
10% level of significance.

Question

Quizplus · Accepted Answer

The sample standard deviation of 0.67 ounces is significantly different from the hypothesized standard deviation of 0.5 ounces, and with a small sample size of 15, a chi-square test can be used to determine if this difference is statistically significant at the 10% level.

SCENARIO 12-21 A Filling Machine at a Local Soft Drinks Company Is