Twenty sets of four measurements of the diameters in inches of Hot Shot golf balls were (given 12.69)a. Enter the data into a spreadsheet and compute the means and the ranges for each sample.b. Using the results of part (a), develop X- and R charts similar to Figures 12–7 and 12–8. Assume three-sigma limits for the X- chart.c. Develop a histogram based on the 80 observations. Assume class intervals (1) 1.80–1.849, (2) 1.85–1.899, (3) 1.90–1.949, (4) 1.95–1.999, (5) 2.0–2.049, (6) 2.05–2.099, (7) 2.10–2.149, (8) 2.15–2.20. Based on your histogram, what distribution might accurately describe the diameter of a golf ball selected at random? Sample12.132.182.051.962.082.102.022.2031.931.982.032.062.012.001.941.911.991.902.142.041.921.952.022.0572.001.942.001.9081.932.022.042.091.872.131.901.92101.892.142.162.10111.931.871.941.99121.861.892.072.06132.042.092.032.09142.152.022.112.04151.961.991.941.98162.032.062.092.02171.951.991.871.92182.052.032.062.04192.122.021.971.95202.032.012.042.02 2.940.12.930.09UCL2.920.082.91UCL (based on 3ơ -limits)0.072.92.890.062.880.052.870.042.860.032.850.022.84LCL (based on 3o -limits)LCL2.830.012.82210 12 14 16 18 20 22 24 26 28 3010 12 14 16 18 20 22 24 26 28 3046248Sample numberSample numberFIGURE 12-7FIGURE 12-8X chart for trackingR chart for trackingarm dataarm dataLength of tracking armRange

Sample 1 2.13 2.18 2.05 1.96 2 2.08 2.1 2.02 2.2 3 1.93 1.98 2.03 2.06 4 2.01 1.94…

Answered: Sample 1 2.13 2.18 2.05 1.96 2.08 2.10…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Question

Twenty sets of four measurements of the diameters in inches of Hot Shot golf balls were (given 12.69)

a. Enter the data into a spreadsheet and compute the means and the ranges for each sample.
b. Using the results of part (a), develop X^- and R charts similar to Figures 12–7 and 12–8. Assume three-sigma limits for the X^- chart.
c. Develop a histogram based on the 80 observations. Assume class intervals (1) 1.80–1.849, (2) 1.85–1.899, (3) 1.90–1.949, (4) 1.95–1.999, (5) 2.0–2.049, (6) 2.05–2.099, (7) 2.10–2.149, (8) 2.15–2.20. Based on your histogram, what distribution might accurately describe the diameter of a golf ball selected at random?

Sample
1
2.13
2.18
2.05
1.96
2.08
2.10
2.02
2.20
3
1.93
1.98
2.03
2.06
2.01
2.00
1.94
1.91
1.99
1.90
2.14
2.04
1.92
1.95
2.02
2.05
7
2.00
1.94
2.00
1.90
8
1.93
2.02
2.04
2.09
1.87
2.13
1.90
1.92
10
1.89
2.14
2.16
2.10
11
1.93
1.87
1.94
1.99
12
1.86
1.89
2.07
2.06
13
2.04
2.09
2.03
2.09
14
2.15
2.02
2.11
2.04
15
1.96
1.99
1.94
1.98
16
2.03
2.06
2.09
2.02
17
1.95
1.99
1.87
1.92
18
2.05
2.03
2.06
2.04
19
2.12
2.02
1.97
1.95
20
2.03
2.01
2.04
2.02

2.94
0.1
2.93
0.09
UCL
2.92
0.08
2.91
UCL (based on 3ơ -limits)
0.07
2.9
2.89
0.06
2.88
0.05
2.87
0.04
2.86
0.03
2.85
0.02
2.84
LCL (based on 3o -limits)
LCL
2.83
0.01
2.82
2
10 12 14 16 18 20 22 24 26 28 30
10 12 14 16 18 20 22 24 26 28 30
4
6
2
4
8
Sample number
Sample number
FIGURE 12-7
FIGURE 12-8
X chart for tracking
R chart for tracking
arm data
arm data
Length of tracking arm
Range

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