Acme Beverages Ltd. has been contracted to produce VitalizeX, which is a new energy drink that the artist Max Beats has formulated. The recipe requires 100 milligrams of taurine in each 16-ounce bottle. To ensure regulatory compliance, Mally Smith, the quality control manager at Acme Beverages, has selected eight bottles of VitalizeX from its last eleven batches and conducted taurine content tests. The test data is as follows:

1. The lower control limit for the R-chart (i.e., LCLR) is:

A. Less than or equal to 0.6

B. Greater than 0.6 but less than or equal to 1.1

C. Greater than 1.1 but less than or equal to 1.6

D. Greater than 1.6

2. The lower control limit for the x-bar chart (i.e., LCLX) is:

A. Less than or equal to 96.0

B. Greater than 96.0 but less than or equal to97.0

C. Greater than 97.0 but less than or equal to 98.0

D. Greater than 98.0

3. All points on the R-chart are within the control limits.

A. True

B. False

4. All points on the X-bar chart are within the control limits

A. True

B. False

5. Is the process for making VitalizeX considered in control?

A. Yes, because all points on the R-chart are within the control limits

B. Yes, because all points on the R-chart AND X-bar chart are within the control limits

C. No, because points on the R-chart OR X-bar chart are not within the control limits

D. No, because points on the R-chart OR x-bar chart are too close to the center line

\begin{tabular}{|c|l|l|l|l|l|l|l|l|l|} \hline \multicolumn{8}{|c|}{ Mg taurine per bottle } \\ \hline Batch & Bottle 1 & Bottle 2 & Bottle 3 & Bottle 4 & Bottle 5 & Bottle 6 & Bottle 7 & Bottle 8 \\ \hline 1 & 103.87 & 104.15 & 104.52 & 104.9 & 104.95 & 107.15 & 109.52 & 110.5 \\ \hline 2 & 101.5 & 99.42 & 96.22 & 97.5 & 94.63 & 96.15 & 99.33 & 94.3 \\ \hline 3 & 103.8 & 100.11 & 101.46 & 101.4 & 99.87 & 100.22 & 107 & 102.2 \\ \hline 4 & 101.5 & 99.73 & 107.81 & 102.75 & 109.2 & 100.35 & 108.5 & 96.93 \\ \hline 5 & 101.85 & 104.62 & 107.62 & 102.1 & 99.19 & 103.83 & 97.66 & 105.11 \\ \hline 6 & 98.55 & 98.58 & 96.85 & 99.25 & 100.89 & 100.55 & 101.84 & 110.07 \\ \hline 7 & 97.15 & 98.96 & 92.11 & 106.28 & 96.58 & 99.75 & 107.85 & 105.48 \\ \hline 8 & 107.5 & 103.56 & 100.89 & 96.65 & 103.15 & 102.62 & 98.76 & 101.67 \\ \hline 9 & 101.47 & 103.42 & 101.48 & 98.36 & 111.58 & 103.18 & 101.25 & 105.36 \\ \hline 10 & 107.65 & 98.3 & 97.75 & 104.33 & 96.95 & 99.12 & 104.45 & 104.71 \\ \hline 11 & 107.52 & 104.07 & 105.5 & 100.89 & 102.01 & 103.06 & 102.98 & 98.87 \\ \hline \end{tabular}