General HyThere, Inc., is a manufacturer of hydraulic machinetools. It has had a history leakage trouble resulting from acertain critical fitting. Twenty five samples of machined partswere selected, one per shift, and the diameters of the fitting wasmeasured.
Required:
a. Construct x-bar- and R-charts for the data. What do youobserve?
b. If the regular machine operator was absent when samples 4, 8,14, 22 were taken, how will the results in part (a) beaffected? Â
c. A second table in the worksheet represents measurements takenduring the next 10 shifts. Does the process continue to remainstable? What information does this table provide to the qualitycontrol manager? Â
Can you show how you entered the data into excel toget the graphs please.
| | Diameter Measurement(cm) | | |
| | Observations | | |
Sample | 1 | 2 | 3 | 4 |
| | | | |
1 | 10.94 | 10.64 | 10.88 | 10.70 |
2 | 10.66 | 10.66 | 10.68 | 10.68 |
3 | 10.68 | 10.68 | 10.62 | 10.68 |
4 | 10.03 | 10.42 | 10.48 | 11.06 |
5 | 10.70 | 10.46 | 10.76 | 10.80 |
6 | 10.38 | 10.74 | 10.62 | 10.54 |
7 | 10.46 | 10.90 | 10.52 | 10.74 |
8 | 10.66 | 10.04 | 10.58 | 11.04 |
9 | 10.50 | 10.44 | 10.74 | 10.66 |
10 | 10.58 | 10.64 | 10.60 | 10.26 |
11 | 10.80 | 10.36 | 10.60 | 10.22 |
12 | 10.42 | 10.36 | 10.72 | 10.68 |
13 | 10.52 | 10.70 | 10.62 | 10.58 |
14 | 11.04 | 10.58 | 10.78 | 10.17 |
15 | 10.52 | 10.40 | 10.60 | 10.40 |
16 | 10.38 | 10.02 | 10.60 | 10.60 |
17 | 10.56 | 10.68 | 10.78 | 10.34 |
18 | 10.58 | 10.50 | 10.48 | 10.60 |
19 | 10.42 | 10.74 | 10.64 | 10.50 |
20 | 10.48 | 10.44 | 10.32 | 10.70 |
21 | 10.56 | 10.78 | 10.46 | 10.42 |
22 | 10.82 | 10.64 | 11.00 | 10.01 |
23 | 10.28 | 10.46 | 10.82 | 10.84 |
24 | 10.64 | 10.56 | 10.92 | 10.54 |
25 | 10.84 | 10.68 | 10.44 | 10.68 |
| | | | |
| | c) The followingtable represents measurements taken during the next 10 shifts. | | |
| | | | |
| | Observations | | |
Sample | 1 | 2 | 3 | 4 |
| | | | |
1 | 10.40 | 10.76 | 10.54 | 10.64 |
2 | 10.60 | 10.28 | 10.74 | 10.86 |
3 | 10.56 | 10.58 | 10.64 | 10.70 |
4 | 10.70 | 10.60 | 10.74 | 10.52 |
5 | 11.02 | 10.36 | 10.90 | 11.02 |
6 | 10.68 | 10.38 | 10.22 | 10.32 |
7 | 10.64 | 10.56 | 10.82 | 10.80 |
8 | 10.28 | 10.62 | 10.40 | 10.70 |
9 | 10.50 | 10.88 | 10.58 | 10.54 |
10 | 10.36 | 10.44 | 10.40 | 10.66 |