To determine if their 13oz filling machine is properly adjusted, Berkeley Soft Drinks has decided to use an x-Chart which uses the range to estimate the variability in the sample.

Step 1 of 7:

What is the Center Line of the control chart? Round your answer to three decimal places.

Step 2 of 7:

What is the Upper Control Limit? Round your answer to three decimal places.

Step 3 of 7:

What is the Lower Control Limit? Round your answer to three decimal places.

Step 4 of 7:

Use the following sample data, taken from the next time period, to determine if the process is "In Control" or "Out of Control".

Observations: 12.99,12.98,13.04,13.04,12.98

Sample Mean: 13.006

Step 5 of 7:

Use the following sample data, taken from the next time period, to determine if the process is "In Control" or "Out of Control".

Observations: 13,12.98,12.97,12.95,13.04

Sample Mean: 12.988

Step 6 of 7:

Use the following sample data, taken from the next time period, to determine if the process is "In Control" or "Out of Control".

Observations: 13.07,13.05,13.08,12.99,13.09

Sample Mean: 13.056

Step 7 of 7:

Based on the control limits established, what is the probability that the production manager will conclude that the process is "Out of Control", when the process is actually "In Control"? Round your answer to three decimal places.

Periodobs1obs2obs3obs4obs5Sample MeanSample Range

112.9912.9813.0512.9613.0313.00200.09

212.9613.0513.0112.9913.0313.00800.09

313.0413.0212.9813.0012.9512.99800.09

413.0513.0313.0112.9813.0013.01400.07

513.0213.0513.0113.0013.0413.02400.05

613.0412.9812.9713.0113.0313.00600.07

713.0112.9513.0013.0113.0112.99600.06

813.0112.9712.9712.9913.0112.99000.04

913.0012.9613.0113.0213.0113.00000.06

1012.9713.0212.9813.0413.0113.00400.07

1112.9613.0512.9912.9512.9912.98800.10

1212.9713.0013.0213.0112.9512.99000.07

1313.0312.9813.0312.9713.0413.01000.07