A Machine That Fills Beverage Cans Is Supposed to Put $\begin{array}{llll}\hline 16.04 & 15.96 & 15.84 & 16.08 \\15.79 & 15.90 & 15.89 & 15.70 \\\hline\end{array}$

question 28

Multiple Choice

A machine that fills beverage cans is supposed to put 16 ounces of beverage in each can. Following are the amounts measured in a simple random sample of eight cans
$\begin{array}{llll}\hline 16.04 & 15.96 & 15.84 & 16.08 \\15.79 & 15.90 & 15.89 & 15.70 \\\hline\end{array}$

Assume that the sample is approximately normal. Can you conclude that the mean volum، from 16 ounces? Use the $\alpha = 0.01$ level of significance.

• A) There is not enough information to draw a conclusion.
• B) Yes. The mean fill volume appears to differ from 16 ounces.
• C) No. There is insufficient evidence to conclude that the mean fill volume differs from 16 ounces.

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Definitions:

Personal Fable

An egocentric belief held by adolescents that they are unique and invulnerable, leading to risk-taking behaviors and a sense of personal uniqueness.

Nicotine

A stimulant and addictive substance found in tobacco products that affects the nervous system.

Cocaine

A powerful stimulant drug derived from coca leaves, known for its potent effects on the central nervous system.

Personal Fable

A belief held by adolescents that they are unique and invulnerable, often leading to risk-taking behaviors.