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# Problem 1 Construct a Gantt chart for the project described by the following set of activities, and indicate the project completion time: Activity Activity Predecessor Time (Weeks) 1 — 5 2 — 4 3 1 3 4 2 6 Problem 2 The Great North Woods Clothing Company sells specialty outdoor clothing through its catalog. A quality problem that generates customer complaints occurs when a warehouse employee fills an order with the wrong items. The company has decided to implement a process control plan by inspecting the ordered items after they have been obtained from the warehouse and before they have been packaged. The company has taken 30 samples (during a 30-day period), each for 100 orders, and recorded the number of defective orders in each sample, as follows: Sample Number of Defectives Sample Number of Defectives ?1 12 16 ?6 ?2 14 17 ?3 ?3 10 18 ?7 ?4 16 19 10 ?5 18 20 14 ?6 19 21 18 ?7 14 22 22 ?8 20 23 26 ?9 18 24 20 10 17 25 24 11 ?9 26 18 12 11 27 19 13 14 28 20 14 12 29 17 15 ?7 30 18 Construct a -chart for the company that describes 99.74% (3?) of the random variation in the process, and indicate if the process seems to be out of control at any time.

Problem 1
Construct a Gantt chart for the project described by the following set of activities, and indicate the project completion time:
Activity Activity Predecessor Time (Weeks)
1 — 5
2 — 4
3 1 3
4 2 6

Problem 2
The Great North Woods Clothing Company sells specialty outdoor clothing through its catalog. A quality problem that generates customer complaints occurs when a warehouse employee fills an order with the wrong items. The company has decided to implement a process control plan by inspecting the ordered items after they have been obtained from the warehouse and before they have been packaged. The company has taken 30 samples (during a 30-day period), each for 100 orders, and recorded the number of defective orders in each sample, as follows:
Sample Number of Defectives Sample Number of Defectives
?1 12 16 ?6
?2 14 17 ?3
?3 10 18 ?7
?4 16 19 10
?5 18 20 14
?6 19 21 18
?7 14 22 22
?8 20 23 26
?9 18 24 20
10 17 25 24
11 ?9 26 18
12 11 27 19
13 14 28 20
14 12 29 17
15 ?7 30 18

Construct a -chart for the company that describes 99.74% (3?) of the random variation in the process, and indicate if the process seems to be out of control at any time.

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