Project management
PROBLEM 1- PM
| Project Management (5 points) | |||||||||||||
| The following information relates to a project (task times are in weeks). | |||||||||||||
| Task | Preceding Tasks | a | m | b | Expected Time | Variance | |||||||
| A | None | 3 | 6 | 9 | |||||||||
| B | A | 4 | 5 | 6 | |||||||||
| C | A | 2 | 6 | 10 | |||||||||
| D | B | 8 | 11 | 14 | |||||||||
| E | C | 1 | 7 | 13 | |||||||||
| F | D, E | 2 | 4 | 6 | |||||||||
| 1) Calculated the Expected Time and Variance for each activity. | |||||||||||||
| 2) Draw the project network (draw network on a paper -- no need to submit the diagram). Using the Expected Time from (1), find: | |||||||||||||
| a. Critical Path activities | |||||||||||||
| b. Length of Critical path | |||||||||||||
| c. Which activities have slack and how much? | Task | Slack? | If so, how many weeks? | ||||||||||
| A | |||||||||||||
| B | |||||||||||||
| C | |||||||||||||
| D | |||||||||||||
| E | |||||||||||||
| F | |||||||||||||
| 3) Now find the Expected Project (critical path) mean and standard deviation. | MEAN: | VARIANCE: | STD DEV: | ||||||||||
| 4) What is the probability of completing the project (critical path) within 28 weeks? (show your formulas and work) |
PROBLEM 2- FORECAST
| Forecasting (5 points) | |||||||||||||
| Given the following monthly demand for official transcript requests at the MSU registrar’s office: | |||||||||||||
| Month | # transcripts | ||||||||||||
| 1 | 552 | Place Graph Here: | |||||||||||
| 2 | 542 | ||||||||||||
| 3 | 569 | ||||||||||||
| 4 | 554 | ||||||||||||
| 5 | 578 | ||||||||||||
| 6 | 555 | ||||||||||||
| 7 | 552 | ||||||||||||
| 8 | 580 | ||||||||||||
| 9 | 587 | ||||||||||||
| 10 | 610 | ||||||||||||
| 11 | 589 | ||||||||||||
| 12 | 602 | ||||||||||||
| a) Develop a simple linear regression model based on the following 12 months of historical data. | |||||||||||||
| b) Plot the historical data and the forecast line. | |||||||||||||
| c) Then compute the forecast for the next 5 periods. | |||||||||||||
| 13 | |||||||||||||
| 14 | |||||||||||||
| 15 | |||||||||||||
| 16 | |||||||||||||
| 17 | |||||||||||||
| 18 | |||||||||||||
| d) Find the MAD and MAPE. |
PROBLEM 3 - QUALITY
| Quality (5 points) | |||||||||||||
| The school board is trying to evaluate a new math program introduced to second-graders in twenty elementary schools across the county this year. A sample of the student scores on standardized math tests in each elementary school yielded the following data: | |||||||||||||
| School | No. of Test Errors | ||||||||||||
| 1 | 45 | Place Graph Here: | |||||||||||
| 2 | 24 | ||||||||||||
| 3 | 38 | ||||||||||||
| 4 | 41 | ||||||||||||
| 5 | 45 | ||||||||||||
| 6 | 47 | ||||||||||||
| 7 | 69 | ||||||||||||
| 8 | 52 | ||||||||||||
| 9 | 23 | ||||||||||||
| 10 | 27 | ||||||||||||
| 11 | 46 | ||||||||||||
| 12 | 64 | ||||||||||||
| 13 | 50 | ||||||||||||
| 14 | 31 | ||||||||||||
| 15 | 35 | ||||||||||||
| 16 | 41 | ||||||||||||
| 17 | 44 | ||||||||||||
| 18 | 50 | ||||||||||||
| 19 | 28 | ||||||||||||
| 20 | 34 | ||||||||||||
| 1. What type of control chart should be created to evaluate the number of test errors? | |||||||||||||
| 2. Find the center line, UCL and LCL for a 95 percent confidence (at Z= 1.96) control chart. | |||||||||||||
| Center Line: | |||||||||||||
| UCL | |||||||||||||
| LCL: | |||||||||||||
| 3. Graph the control chart including the number of test errors for each school, the center line, UCL and LCL. | |||||||||||||
| 4. Is the process in control? Why or why not? | |||||||||||||
| Make sure to show your all your calculations (formulas). |