A Machine That Fills Beverage Cans Is Supposed to Put $\begin{array}{lllll}\hline 12.12 & 11.85 & 12.29 & 12.08 & 12.05 \\11.91 & 11.44 & 11.67 & 11.51 & 11.91 \\\hline\end{array}$

question 58

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 0.14 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.
$\begin{array}{lllll}\hline 12.12 & 11.85 & 12.29 & 12.08 & 12.05 \\11.91 & 11.44 & 11.67 & 11.51 & 11.91 \\\hline\end{array}$
Perform a hypothesis test to determine whether the standard deviation differs from $0.14 \mathrm { o }$ Use the $\alpha = 0.05$ level of significance.

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

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Definitions:

Rate Of Return

The financial increment or decrement experienced in the value of an investment over a specific duration, highlighted as a percentage of the initial capital deployed.

Business Venture

A new enterprise entered into for profit, often characterized by innovation, risk, and a new market or product.

Compounded Semi-annually

The process of calculating interest on both the initial principal and the accumulated interest from previous periods twice a year.

EAR

Effective Annual Rate is the actual return on an investment or the actual interest rate of a loan, taking into account the effect of compounding interest over the period.