1. You are in charge of the maintenance of roads and highways of a province. You usually take random stretches of a highway and count the number of road defects that have developed over time. Here is data on 10 such random stretches on of the road system, you are expected to construct a 3-sigma control chart. You are to enter UCL of the control chart. Round your answer to TWO places of decimal.

Sample #	# of defects
1	20
2	30
3	25
4	15
5	22
6	28
7	30
8	40
9	20
10	35

2. The following is the time-series data on the demand of a certain product. Using a 5-period simple moving average model, make forecast for period 11, that is determine F11. Round your answer to the nearest integer.

period	At
1	120
2	115
3	150
4	140
5	160
6	155
7	160
8	140
9	158
10	168

3. Given the following weights: w1 =0.5, w2 = 0.3 and w3 =0.2, make forecast for period 11 using a 3-period weighted moving average. Round your answer to the nearest integer.

period	At
1	120
2	115
3	150
4	140
5	160
6	155
7	160
8	140
9	158
10	175

4. Consider a process known to haveCp=0.98. The process mean suffered a shift to the left of the center; theCpk=0.85. Calculate the fraction defective and enter your answer as DPMO rounded to the nearest integer.