The time to replace vehicle wiper blades at a service center was monitored using a mean and
Question:
The time to replace vehicle wiper blades at a service center was monitored using a mean and a range chart. Six samples of n = 20 observations have been obtained and the sample means and ranges computed:
Sample | Mean | Range | Sample | Mean | Range |
1 | 3.06 | .42 | 4 | 3.13 | .46 |
2 | 3.15 | .50 | 5 | 3.06 | .46 |
3 | 3.11 | .41 | 6 | 3.09 | .45 |
Factors for three-sigma control limits for and R charts
FACTORS FOR R CHARTS | |||
Number of Observations in Subgroup, n | Factor for Chart, A2 | Lower Control Limit, D3 | Upper Control Limit, D4 |
2 | 1.88 | 0 | 3.27 |
3 | 1.02 | 0 | 2.57 |
4 | 0.73 | 0 | 2.28 |
5 | 0.58 | 0 | 2.11 |
6 | 0.48 | 0 | 2.00 |
7 | 0.42 | 0.08 | 1.92 |
8 | 0.37 | 0.14 | 1.86 |
9 | 0.34 | 0.18 | 1.82 |
10 | 0.31 | 0.22 | 1.78 |
11 | 0.29 | 0.26 | 1.74 |
12 | 0.27 | 0.28 | 1.72 |
13 | 0.25 | 0.31 | 1.69 |
14 | 0.24 | 0.33 | 1.67 |
15 | 0.22 | 0.35 | 1.65 |
16 | 0.21 | 0.36 | 1.64 |
17 | 0.20 | 0.38 | 1.62 |
18 | 0.19 | 0.39 | 1.61 |
19 | 0.19 | 0.40 | 1.60 |
20 | 0.18 | 0.41 | 1.59 |
a. Using the factors in the above table, determine upper and lower limits for mean and range charts.