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.

Question

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.

Quizplus · Accepted Answer

To determine if the mean fill volume significantly differs from 16 ounces, a hypothesis test can be conducted. The null hypothesis ($H_0$) would state that the mean volume is 16 ounces ($\mu = 16$), and the alternative hypothesis ($H_1$) would suggest that the mean volume is not equal to 16 ounces ($\mu \neq 16$). Without conducting the actual calculations here, the choice suggests that after performing the test at the $\alpha = 0.01$ level of significance, there isn't enough statistical evidence to reject the null hypothesis. This means we cannot conclude that the mean fill volume significantly differs from 16 ounces based on the provided sample data.

A Machine That Fills Beverage Cans Is Supposed to Put 16.0415.9615.8416.0815.7915.9015.8915.70\begin{array}{llll}\hline 16.04 & 15.96 & 15.84 & 16.08 \\15.79 & 15.90 & 15.89 & 15.70 \\\hline\end{array}16.0415.79​15.9615.90​15.8415.89​16.0815.70​​

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