Solution Found!
Chunky data. Refer to Exercise 13.21 (p. 13-32) and the
Chapter 13, Problem 35E(choose chapter or problem)
Chunky data. Refer to Exercise 13.21 (p. 13-32) and the hourly data collected by BPI consulting. Recall that the data are saved in the file.
a . Construct an R-chart for the data. Is the process variation in control?
b. Round each measurement in the data set to a whole number, like in Exercise 13.21b. Form an R-chart for the rounded data. What do you observe?
Questions & Answers
QUESTION:
Chunky data. Refer to Exercise 13.21 (p. 13-32) and the hourly data collected by BPI consulting. Recall that the data are saved in the file.
a . Construct an R-chart for the data. Is the process variation in control?
b. Round each measurement in the data set to a whole number, like in Exercise 13.21b. Form an R-chart for the rounded data. What do you observe?
ANSWER:Step 1 of 24
(a)
The value of range is obtained as shown below:
The table below shows the calculation of 
Sample |
X1 |
X2 |
X3 |
Minimum |
Maximum |
Range |
1 |
99.69 |
99.73 |
99.81 |
99.69 |
99.81 |
0.12 |
2 |
98.67 |
99.47 |
100.2 |
98.67 |
100.2 |
1.53 |
3 |
99.93 |
99.97 |
100.22 |
99.93 |
100.22 |
0.29 |
4 |
100.58 |
99.4 |
101.08 |
99.4 |
101.08 |
1.68 |
5 |
99.28 |
99.48 |
99.1 |
99.1 |
99.48 |
0.38 |
6 |
99.06 |
99.61 |
99.85 |
99.06 |
99.85 |
0.79 |
7 |
99.81 |
99.78 |
99.53 |
99.53 |
99.81 |
0.28 |
8 |
99.78 |
100.1 |
99.27 |
99.27 |
100.1 |
0.83 |
9 |
99.76 |
100.83 |
101.02 |
99.76 |
101.02 |
1.26 |
10 |
100.2 |
100.24 |
99.85 |
99.85 |
100.24 |
0.39 |
11 |
99.12 |
99.74 |
100.04 |
99.12 |
100.04 |
0.92 |
12 |
101.58 |
100.54 |
100.53 |
100.53 |
101.58 |
1.05 |
13 |
101.51 |
100.52 |
100.5 |
100.5 |
101.51 |
1.01 |
14 |
100.27 |
100.77 |
100.48 |
100.27 |
100.77 |
0.5 |
15 |
100.43 |
100.67 |
100.53 |
100.43 |
100.67 |
0.24 |
16 |
101.08 |
100.54 |
99.89 |
99.89 |
101.08 |
1.19 |
17 |
99.63 |
100.77 |
99.86 |
99.63 |
100.77 |
1.14 |
18 |
99.29 |
99.49 |
99.37 |
99.29 |
99.49 |
0.2 |
19 |
99.89 |
100.75 |
100.73 |
99.89 |
100.75 |
0.86 |
20 |
100.54 |
101.51 |
100.54 |
100.54 |
101.51 |
0.97 |
21 |
99.43 |
99.63 |
100.08 |
99.43 |
100.08 |
0.65 |
22 |
100.04 |
99.71 |
100.4 |
99.71 |
100.4 |
0.69 |
23 |
101.08 |
99.84 |
99.93 |
99.84 |
101.08 |
1.24 |
24 |
99.98 |
99.5 |
100.25 |
99.5 |
100.25 |
0.75 |
25 |
101.18 |
100.79 |
99.56 |
99.56 |
101.18 |
1.62 |
26 |
99.24 |
99.9 |
100.03 |
99.24 |
100.03 |
0.79 |
27 |
99.41 |
99.18 |
99.39 |
99.18 |
99.41 |
0.23 |
28 |
100.84 |
100.47 |
100.48 |
100.47 |
100.84 |
0.37 |
29 |
99.31 |
100.15 |
101.08 |
99.31 |
101.08 |
1.77 |
30 |
99.65 |
100.05 |
100.12 |
99.65 |
100.12 |
0.47 |
31 |
100.24 |
101.01 |
100.71 |
100.24 |
101.01 |
0.77 |
32 |
99.08 |
99.73 |
99.61 |
99.08 |
99.73 |
0.65 |
33 |
100.3 |
100.02 |
99.31 |
99.31 |
100.3 |
0.99 |
34 |
100.38 |
100.76 |
100.37 |
100.37 |
100.76 |
0.39 |
35 |
100.48 |
99.96 |
99.72 |
99.72 |
100.48 |
0.76 |
36 |
99.98 |
100.3 |
99.07 |
99.07 |
100.3 |
1.23 |
37 |
100.25 |
99.58 |
101.27 |
99.58 |
101.27 |
1.69 |
38 |
100.49 |
100.16 |
100.86 |
100.16 |
100.86 |
0.7 |
39 |
100.44 |
100.53 |
99.84 |
99.84 |
100.53 |
0.69 |
40 |
99.45 |
99.41 |
99.27 |
99.27 |
99.45 |
0.18 |
Table (1)