1.Five (5) samples of size six (6) were used to collect the data presented below:

sample number 1 2 3 4 5

sample mean ( ) 7.8 8.0 7.9 8.1 8.2

sample range (R 1.8 2.1 1.9 2.2 2.0

The upper control limit (UCL) an X-chart is.

a. 12.008

b. 12.230

c. 8.966

d. 9.154

e. None of the above

2.Twenty-four (24) samples of size five (5) were collected for a variable measurement.Determine the upper control limit (UCL) for an R-chart if the average range, , is 4.2.

a) 9.3060

b) 6.5016

c) 8.8830

d) 8.8176

e) None of the above

3. Forty (40) samples of size thirty (30) were collected and a total of 36 nonconforming items were found yielding p-bar = 0.03. The three-sigma upper control limit (UCL) for a p control chart would be

a) 0.115

b) 0.111

c) 0.198

d) 0.123

e) None of the above

4. We have taken 4 samples of 100 page manuscripts and where we found the proportion of defective pages as .02, .03, .01, and .02 respectively. Compute the upper and lower control limits for this chart.

a) 0.95 and 0.05

b) 0.062 and 0.00

c) 0.0388 and 0.00

d) 0.140 and 0.00

e) None of the above

5.A company has calculated its CFE to be 600 and its MADt is 30. Which one of the following is the resulting TS?

a) 0.05

b)20

c)30

d)35

e)Cannot be calculated based on this information

6. Which of the following MAD values reflects the most accurate model if you were trying to select a forecasting model?

a) 0.425

b) 0.877

c) 0.200

d) 4.599

e) 100

7. Given the following weekly demand and forecast figures:

Week Demand Forecast

1 40 20

2 20 25

3 30 35

The MAD is:

a) 0

b) -10

c) 30

d) 10

e) none of the above

8.Given the following weekly demand and forecast figures:

Week Demand Forecast

1 40 20

2 20 25

3 30 35

The cumulative sum of forecast errors (CFE) is:

a) 10

b) -10

c) 30

d) 150

e) 3.33