A Machine That Fills Beverage Cans Is Supposed to Put $0.12$

question 60

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 overhaul, with new components, and ten cans are filled to determine whether the standard deviation changed. Assume the fill amounts to be a random sample from a normal population.
$\begin{array}{lllll}\hline 12.14 & 12.05 & 12.27 & 11.89 & 12.06 \\12.14 & 12.05 & 12.38 & 11.92 & 12.14 \\\hline\end{array}$

Perform a hypothesis test to determine whether the standard deviation differs from $0.12$ o Use the $\alpha = 0.05$ level of significance.

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

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