You have just used the network planning model for a county road resurfacing project and found the critical path length is 40 days and the standard deviation of the critical path is 10 days. Suppose you want to pick a time (in days) within which you will complete the project with 90% confidence level. What should be that time (in days and round to the nearest whole number)?
A) 40
B) 13
C) 37
D) 29
E) 53

Question

Quizplus · Accepted Answer

To find the time within which the project will be completed with a 90% confidence level, we use the formula: Time = Critical Path Length + (Z-score * Standard Deviation). For a 90% confidence level, the Z-score is approximately 1.645. Plugging in the values: Time = 40 + (1.645 * 10) = 40 + 16.45 = 56.45. Rounding to the nearest whole number gives 56 days, which is not an option provided. However, it seems there was a mistake in my calculation. Correctly calculating gives: Time = 40 + (1.645 * 10) = 40 + 16.45 = 56.45, but since 56 is not an option and considering the context of the provided options, it appears there was an error in my initial explanation. The correct approach should still involve using the formula for determining the project completion time at a specific confidence level, but it seems there was a misunderstanding or misinterpretation of the options or the calculation. Given the options, the closest correct answer based on the standard approach would be 53 days, acknowledging a discrepancy in the calculation process.

You Have Just Used the Network Planning Model for a County