It is not possible to be in control on the X-bar chart and out of control on the R-chart

1) It is not possible to be in control on the X-bar chart and out of control on the R-chart for the same process at the same time
True ______ False______

2) Nonrandom variation can be the result of an operator error.
True _____ False__


2) A project manager at System 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 25000 lines of code. Please use the data to find the functional relationship of the 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
1 160 68
2 158 66
3 148 70
4 135 59
5 178 72
6 170 68
7 158 64
8 138 65
9 200 70
10 195 68
11 189 65
12 173 68
13 159 70
14 163 71
15 150 66
16 140 65
17 206 73
18 144 64
19 157 70
20 183 74
21 195 75
22 190 77
23 182 69
24 152 65
25 174 69


3) For the above problem plot a histogram of module size in this program.

4) Consider a machine that fills soda bottles. The process has a mean of 15.9 ounces and a standard deviation of 0.06 ounces.
The specification limits are set between 15.8 and 16.2 ounces.
a) Compute and interpret the machine’s Cp
b) Compute and interpret the machine Cpk
c) What % of the bottles will be considered under-filled?