(a) Construct an R chart for these data. Does the R chart indicate that the process is in a state of statistical control? Why? If the R chart indicates the process is not in control, remove out-of-control points, and re-construct the chart with the remaining data. (e) Construct a X chart bascd on the range for these data. Does the X chart indicate that the process is in a state of statistical control? Why? (d) What conclusions can you draw about this process? (e) Construct an s chart for these data. (p Does the s chart indicate that the process is in a state of statistical control? Why? If the s chart
(a) Construct an R chart for these data. Does the R chart indicate that the process is in a state of statistical control? Why? If the R chart indicates the process is not in control, remove out-of-control points, and re-construct the chart with the remaining data. (e) Construct a X chart bascd on the range for these data. Does the X chart indicate that the process is in a state of statistical control? Why? (d) What conclusions can you draw about this process? (e) Construct an s chart for these data. (p Does the s chart indicate that the process is in a state of statistical control? Why? If the s chart
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Step 1
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a)
Container | 1 | 2 | 3 | 4 | max | min | Range |
1 | 10.7 | 10.4 | 10.2 | 10.9 | 10.9 | 10.2 | max-min=0.7 |
2 | 10.9 | 10.3 | 10.3 | 10.6 | 10.9 | 10.3 | 0.6 |
3 | 10.9 | 10.8 | 10.3 | 10.5 | 10.9 | 10.3 | 0.6 |
4 | 11.1 | 10.7 | 10.7 | 10.8 | 11.1 | 10.7 | 0.4 |
5 | 10.9 | 10.6 | 10.7 | 10.3 | 10.9 | 10.3 | 0.6 |
6 | 10.2 | 10.7 | 10.7 | 9.7 | 10.7 | 9.7 | 1 |
7 | 11.1 | 10.4 | 10.9 | 10.4 | 11.1 | 10.4 | 0.7 |
8 | 10.2 | 10.7 | 10.9 | 10.1 | 10.9 | 10.1 | 0.8 |
9 | 10.3 | 9.9 | 11.1 | 10.3 | 11.1 | 9.9 | 1.2 |
10 | 10 | 10.1 | 9.9 | 10.3 | 10.3 | 9.9 | 0.4 |
11 | 11.2 | 9.9 | 9.9 | 9.8 | 11.2 | 9.8 | 1.4 |
12 | 10.9 | 10 | 10.2 | 10 | 10.9 | 10 | 0.9 |
13 | 10.2 | 10.4 | 10.4 | 10.8 | 10.8 | 10.2 | 0.6 |
14 | 10.4 | 10.3 | 10.3 | 10 | 10.4 | 10 | 0.4 |
15 | 10.1 | 10.1 | 10 | 10.5 | 10.5 | 10 | 0.5 |
16 | 11.4 | 11.8 | 11.9 | 11.7 | 11.9 | 11.4 | 0.5 |
17 | 11.3 | 11 | 11.6 | 11.4 | 11.6 | 11 | 0.6 |
18 | 10.7 | 10.8 | 11.1 | 10.9 | 11.1 | 10.7 | 0.4 |
19 | 10.9 | 10.3 | 10.9 | 10.7 | 10.9 | 10.3 | 0.6 |
20 | 11 | 11.4 | 11.5 | 10.9 | 11.5 | 10.9 | 0.6 |
21 | 11.5 | 11.6 | 11.6 | 11.4 | 11.6 | 11.4 | 0.2 |
22 | 11.1 | 11.1 | 11.3 | 11.2 | 11.3 | 11.1 | 0.2 |
23 | 11.3 | 10.9 | 10.9 | 11.4 | 11.4 | 10.9 | 0.5 |
24 | 10.8 | 11 | 11.5 | 10.9 | 11.5 | 10.8 | 0.7 |
25 | 10.6 | 10.5 | 10.8 | 11.2 | 11.2 | 10.5 | 0.7 |
26 | 11.2 | 11.3 | 11.4 | 11.7 | 11.7 | 11.2 | 0.5 |
27 | 10.9 | 10.7 | 11.3 | 10.8 | 11.3 | 10.7 | 0.6 |
28 | 11.3 | 11.1 | 11.4 | 11.3 | 11.4 | 11.1 | 0.3 |
29 | 11 | 11.7 | 10.9 | 11.4 | 11.7 | 10.9 | 0.8 |
30 | 10.4 | 10.3 | 10.6 | 10.4 | 10.6 | 10.3 | 0.3 |
31 | 9.9 | 10 | 10.3 | 10.4 | 10.4 | 9.9 | 0.5 |
32 | 10.2 | 10.6 | 10.2 | 10.3 | 10.6 | 10.2 | 0.4 |
33 | 10.7 | 10.9 | 10.4 | 10.3 | 10.9 | 10.3 | 0.6 |
34 | 9.6 | 10 | 9.8 | 9.8 | 10 | 9.6 | 0.4 |
Control limits:
For the subgroup size k=4, the value of constant D4 is 2.282 and D3=0.
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