A Machine That Fills Beverage Cans Is Supposed to Put $$\begin{array} { l l l l l } \hline 12.03 & 11.97 & 12.10 & 11.63 & 11.83 \\11.87 & 12.12 & 11.47 & 11.95 & 11.87 \\\hline\end{array}$$

question 15

Multiple Choice

A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. The standard deviation of the amount in each can is 0.12 ounce. The machine is overhauled with new Components, and ten cans are filled to determine whether the standard deviation has changed. Assume the fill Amounts to be a random sample from a normal population.
$$\begin{array} { l l l l l } \hline 12.03 & 11.97 & 12.10 & 11.63 & 11.83 \\11.87 & 12.12 & 11.47 & 11.95 & 11.87 \\\hline\end{array}$$
Perform a hypothesis test to determine whether the standard deviation differs from 0.12 ounce. Use the $\alpha = 0.01$ level of significance.

• A) Reject \(H _ { 0 } .\)
• B) Do not reject \(H _ { 0 }\)

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