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A project manager at Global Design Corporation has collected the following data on the size of software programs and the length of programming time. The

  1. A project manager at Global Design Corporation has collected the following data on the size of software programs and the length of programming time. The company is bidding on a new system that is estimated to consist of 400,000 lines of code. Use the data to find the correlation function of coding time to the program size and estimate the number of days it would take to code the system.

Module Size in 1000 lines of code (KLOC) Number of days to code
1 150 72
2 158 66
3 148 65
4 120 60
5 178 75
6 170 68
7 152 68
8 138 65
9 200 80
10 195 75
11 189 65
12 173 68
13 159 62
14 163 71
15 150 65
16 140 65
17 206 74
18 144 64
19 157 70
20 183 76
21 195 75
22 190 77
23 185 73
24 152 58
25 178 70

2. A quality control engineer monitors the quality of a cylinder production line. He regularly selects a sample of 5 units and measures the diameters. The specification requires the diameter to be 6 inches plus/minus 0.1 inch. The following is a record of the measurements. Is the production process in control? Please use X bar and R charts to make an assessment.

Sample item 1 item 2 item 3 item 4 item 5
1 6.10 6.15 5.35 5.98 5.95
2 6.35 6.02 6.20 6.10 5.70
3 5.85 5.90 6.20 6.12 6.08
4 6.00 5.80 5.70 6.04 6.17
5 6.15 5.60 6.25 5.99 6.01
6 6.13 6.05 5.89 6.00 5.87
7 5.88 6.03 5.76 6.1 3 6.00
8 6.12 5.45 6.15 6.04 5.91

please clearly draw the chart,

Thank you

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