Use the table below to answer the following question(s).
The historical data of Velvetta Inc., a healthcare products manufacturer, have shown that in a production process for filling bottles of shampoo, variance in the volume is constant; however, clogs in the filling machine often affect the average volume.The historical standard deviation is 5 milliliters.In filling 250-milliliter bottles, a sample of 20 found an average volume of 242 milliliters.
$\begin{array}{l|l}
\hline \text { Velvetta Inc. Shampoo } & \
\text { Production } & \
\hline \text { Alpha Value } & 0.05 \
\hline \text { Standard Deviation } & 5 \
\hline \text { Sample Size } & 20 \
\hline \text { Sample Average } & 2.42
\end{array}$
-From the table above, calculate the $\frac { Z _ { \alpha } } { 2 }$ value at a 95% confidence interval.
A)1.64
B)1.84
C)1.96
D)2.19

Question

Use the table below to answer the following question(s).
The historical data of Velvetta Inc., a healthcare products manufacturer, have shown that in a production process for filling bottles of shampoo, variance in the volume is constant; however, clogs in the filling machine often affect the average volume.The historical standard deviation is 5 milliliters.In filling 250-milliliter bottles, a sample of 20 found an average volume of 242 milliliters.
 $\begin{array}{l|l}
\hline \text { Velvetta Inc. Shampoo } & \
 \text { Production } & \
\hline \text { Alpha Value } & 0.05 \
\hline \text { Standard Deviation } & 5 \
\hline \text { Sample Size } & 20 \
\hline \text { Sample Average } & 2.42
\end{array}$
-From the table above, calculate the $\frac { Z _ { \alpha } } { 2 }$ value at a 95% confidence interval.
A)1.64
B)1.84
C)1.96
D)2.19

Quizplus · Accepted Answer

The critical value for a 95% confidence interval with a two-tailed test and 19 degrees of freedom (since the sample size is 20) is 1.96, which is the value of $\frac{Z_{\alpha}}{2}$. Therefore, the answer is (C) 1.96.

Use the Table Below to Answer the Following Question(s) -From the Table Above, Calculate The