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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)

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Answer:

The answer is "53 days"

Step-by-step explanation:

The form for the due date is given below from the above information.

[tex]\text{DUE DATE = Expected Completion Time} + (Z \times \text{Standard Deviation)}[/tex]

The level of confidence relates to the percentage of all samples which can contain a true population variable. It is calculated by a random sampling of the population and is often linked with a certain level of confidence, which would be a probability, usually a percent. The 90% say that the true mean will be 90%, but 10% won't.

The Z-score needs to be measured, measured from percentage points away from the mean in statistics of a value related to the mean (which is to say, the average) of one sequence of items.

[tex]Expected\ time = 40 \\\\Confidence \ interval = 90 = Z-VALUE \ of\ 1.282\\\\Standard \ Deviation= 10\\\\DUE \ DATE = 40 + (1.282 \times 10) = 53 \ days\\\\= 40+ 12.82 =52.82 \approx 53\\\\\therefore[/tex]

The time in days is 53 days.

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