2) A project manager at COMSOFT Corporation has collected statistics on the organizations software development process sampling data from past projects. She has 20 random samples, each containing 1000 lines of codes. She has identified the number of lines in error for each sample. Describe what type of control chart she should use and how to calculate the control limits to check if the software coding process in this organization is in control. 3) A Black Belt consultant in the ABC Corporation reported the Sigma Performance of a manufacturing line as 3.1. Using the Z score table calculate the % defective units coming off the production line. 4) 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 300,000 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 5) A product manager has conducted a customer satisfaction survey of 30 customers on a scale of 1 to 5. The survey data is shown below. Calculate the mean and standard deviation of the survey and plot a histogram of the data. Does the distribution approximate Normal? Customer Satisfaction rating 1 4 2 3 3 2 4 5 5 5 6 2 7 1 8 4 9 3 10 4 11 4 12 5 13 3 14 3 15 2 16 1 17 5 18 3 19 4 20 3 21 4 22 2 23 4 24 4 25 3 26 3 27 3 28 2 29 2 30 3 6. The manager at IT Consulting provides IT support to a number of clients. The manager is particularly concerned about a major client that is under Service Level Agreement (SLA). Under this SLA, all tier one issues called in must be resolved on the same day not to exceed 12 hours. There is a $150 penalty for every call that exceeds the SLA time. The manager has the following information from collecting and analyzing call data on tier one issues for this client for the past 6 months. Average number of calls per day = 30 with a standard deviation of 8 The mean time for resolving issues = 10 hours The standard deviation of the resolution time = 1.1 hours Is the call center process capable? What % of calls will exceed the 12 hours SLA requirement? What is the expected penalty cost per year if any?