Question

To determine if their 0.33 centimeter metal shafts are properly adjusted, Moore Inc. has decided to use an x‾-Chart which uses the range to estimate the variability in the sample.

Period   obs1   obs2   obs3   Sample Mean   Sample Range
1 0.37   0.33   0.35 0.3500 0.04
2 0.38   0.35   0.34 0.3567 0.04
3 0.36   0.38   0.31 0.3500 0.07
4 0.33   0.32   0.37 0.3400 0.05
5 0.30   0.36   0.32 0.3267 0.06
6 0.32   0.32   0.31 0.3167 0.01
7 0.34   0.30   0.31 0.3167 0.04
8 0.32   0.37   0.31 0.3333 0.06
9 0.31   0.34   0.33 0.3267 0.03
10 0.32   0.32   0.37 0.3367 0.05
11 0.31   0.37   0.35 0.3433 0.06

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: 0.31,0.32,0.360.31,0.32,0.36
Sample Mean: 0.33

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: 0.37,0.29,0.350.37,0.29,0.35
Sample Mean: 0.3367

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: 0.4,0.41,0.420.4,0.41,0.42
Sample Mean: 0.41

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.

Answer 1