1. A Quality Analyst wants to construct a control chart for determining whether three machines, all producing the same product, are under control with regard to a particular quality variable. Accordingly, he sampled four units of output from each machine, with the following results : Machine #1 measurements [19, 14, 16, 13]; Machine #2 measurements [ 22, 13, 15, 22]; Machine #3 measurements [ 23, 22, 21, 19]. Using the factors for three sigma control limits, what are x-bar chart upper and lower control limits?

Select one:

a.19.96and 16.54

b.37.25and -0.75

c.22.87and 13.63

d.24.71and 11.79

2. What combination of x and y will yield the optimum solution for this problem? Maximize Z = -3x -5y;

Subject to:

(1) 2x + 4y <= 12

(2) 5x + 2y <= 10

Select one:

a.x=1, y=3

b.x=0,y=0

c.x=1, y=5

d.x=0, y=3

3. A town's department of public works is concerned about adverse public reaction to a sewer project that is currently in progress. Because of this, the Commissioner of Public Works has authorized a weekly survey to be conducted of town residents. Each week, for a total of 10 weeks, a sample of 100 residents is questioned on their feelings towards the project. Number of responndets who opposed (each week, respectively): 15, 10, 18, 15, 14, 9, 4, 6, 11, 20.Analyze this data using an appropriate control chart (three sigma control limits). Is the community sentiment stable?

Select one:

a.Stable

b.Unstable, 1 observation out of control

c.Unstable, 3 observations out of control

d.Unstable, 2 observations out of control

4. A single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 8 customers per hour and an average service rate of 14 customers per hour. What is the probability that this system will contain 2 or more customers?

Select one:

a.0.3265

b.0.4286

c.0.6735

d.0.8134