A weight of gives the optimistic estimate more influence than estimates weighted .
Incorrect! Try again.
19Why might a project manager change the default PERT weights?
Perform a PERT analysis by changing the way Project weights duration estimates
Easy
A.To convert all tasks into project milestones
B.To reflect a different level of confidence in each estimate
C.To remove every dependency from the schedule
D.To change the names of all project resources
Correct Answer: To reflect a different level of confidence in each estimate
Explanation:
Custom weights allow the calculation to reflect which estimates are considered more reliable.
Incorrect! Try again.
20With custom weights of , , and , what type of calculation is performed?
Perform a PERT analysis by changing the way Project weights duration estimates
Easy
A.An equal arithmetic average
B.A default weighted estimate
C.An optimistic-only estimate
D.A pessimistic-only estimate
Correct Answer: An equal arithmetic average
Explanation:
Weights of , , and give every estimate equal influence, producing their arithmetic average.
Incorrect! Try again.
21A project manager is uncertain whether a task will take 5, 8, or 17 days depending on conditions. Why is PERT analysis suitable for estimating this task?
About the PERT analysis
Medium
A.It removes uncertainty by fixing the task at 8 days
B.It calculates duration entirely from the assigned resource cost
C.It selects only the shortest available duration estimate
D.It combines optimistic, expected, and pessimistic duration estimates
Correct Answer: It combines optimistic, expected, and pessimistic duration estimates
Explanation:
PERT uses three duration estimates to produce a weighted duration that accounts for uncertainty.
Incorrect! Try again.
22A task has an optimistic estimate of 10 days, an expected estimate of 7 days, and a pessimistic estimate of 14 days. What should the project manager review first?
About the PERT analysis
Medium
A.The pessimistic estimate is greater than the expected estimate
B.The expected estimate is less than the pessimistic estimate
C.The three estimates are expressed in the same time unit
D.The optimistic estimate is greater than the expected estimate
Correct Answer: The optimistic estimate is greater than the expected estimate
Explanation:
Normally, the estimates should satisfy optimistic expected pessimistic. The values 10, 7, and 14 violate the first relationship.
Incorrect! Try again.
23Using the default PERT weights, what is the calculated duration for a task with optimistic, expected, and pessimistic estimates of 4, 7, and 16 days?
Perform a PERT analysis by using the default weights for duration estimates
Medium
A.10 days
B.8 days
C.9 days
D.7 days
Correct Answer: 8 days
Explanation:
The default formula is . Thus, days.
Incorrect! Try again.
24A task has estimates , , and days. What duration will the default PERT calculation produce?
Perform a PERT analysis by using the default weights for duration estimates
Medium
A.9 days
B.12 days
C.10 days
D.11 days
Correct Answer: 10 days
Explanation:
Using , the result is days.
Incorrect! Try again.
25Using the traditional PERT approximation, what is the standard deviation of a task whose optimistic and pessimistic estimates are 4 and 16 days?
About the PERT analysis
Medium
A.4 days
B.1 day
C.2 days
D.3 days
Correct Answer: 2 days
Explanation:
PERT approximates standard deviation as . Therefore, days.
Incorrect! Try again.
26Task A has estimates of 5, 8, and 11 days, while Task B has estimates of 2, 8, and 20 days. What can be concluded about their uncertainty?
About the PERT analysis
Medium
A.Task B has greater uncertainty because its estimate range is wider
B.Both tasks have equal uncertainty because each uses three estimates
C.Task A has greater uncertainty because its optimistic value is higher
D.Both tasks have equal uncertainty because their expected values match
Correct Answer: Task B has greater uncertainty because its estimate range is wider
Explanation:
Task B has a range of days, compared with days for Task A, indicating greater uncertainty.
Incorrect! Try again.
27Two sequential tasks have PERT estimates and days. Using default weights, what is their combined estimated duration?
Perform a PERT analysis by using the default weights for duration estimates
Medium
A.14 days
B.12 days
C.15 days
D.13 days
Correct Answer: 14 days
Explanation:
The task durations are and . Sequentially, they total 14 days.
Incorrect! Try again.
28After PERT durations are calculated in Project, why should the project manager review the critical path again?
About the PERT analysis
Medium
A.Critical tasks are always assigned the pessimistic duration estimate
B.The critical path is determined only by optimistic task estimates
C.PERT automatically deletes every dependency in the existing schedule
D.Calculated durations can change task finish dates and critical status
Correct Answer: Calculated durations can change task finish dates and critical status
Explanation:
Replacing task durations with PERT estimates can alter slack, finish dates, and which tasks form the critical path.
Incorrect! Try again.
29A project manager enters three duration estimates for several tasks but does not run the PERT calculation. What is the most likely result?
Perform a PERT analysis by using the default weights for duration estimates
Medium
A.Project immediately averages all entered estimates
B.Every task receives its optimistic estimate
C.Every task receives its pessimistic estimate
D.The existing task durations remain unchanged
Correct Answer: The existing task durations remain unchanged
Explanation:
Entering the estimates supplies PERT inputs; the calculation must be run before the computed durations replace the current task durations.
Incorrect! Try again.
30A task's default PERT duration is 9 days. Its optimistic estimate is 3 days and its expected estimate is 8 days. What is its pessimistic estimate?
Perform a PERT analysis by using the default weights for duration estimates
Medium
A.20 days
B.17 days
C.18 days
D.19 days
Correct Answer: 19 days
Explanation:
From , we get , so days.
Incorrect! Try again.
31If the optimistic, expected, and pessimistic weights are changed to 2, 3, and 1, which formula should be used for estimates , , and ?
Perform a PERT analysis by changing the way Project weights duration estimates
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Each estimate is multiplied by its assigned weight, and the result is divided by the total weight .
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32A task has estimates , , and days. What is its duration when the weights are changed to 2, 3, and 1?
Perform a PERT analysis by changing the way Project weights duration estimates
Medium
A.9 days
B.7 days
C.8 days
D.10 days
Correct Answer: 8 days
Explanation:
The weighted duration is days.
Incorrect! Try again.
33A manager changes the PERT weights to 1, 1, and 1. What does this change mean?
Perform a PERT analysis by changing the way Project weights duration estimates
Medium
A.All three duration estimates contribute equally
B.Only the expected duration contributes to the result
C.The optimistic estimate is excluded from the result
D.The pessimistic estimate receives four times the weight
Correct Answer: All three duration estimates contribute equally
Explanation:
Weights of 1, 1, and 1 produce the arithmetic mean .
Incorrect! Try again.
34For estimates , , and , how does an equal-weight result compare with the default PERT result?
Perform a PERT analysis by changing the way Project weights duration estimates
Medium
A.It is 1 day higher
B.It is unchanged
C.It is 2 days higher
D.It is 1 day lower
Correct Answer: It is 1 day higher
Explanation:
The default result is days. Equal weights give days.
Incorrect! Try again.
35A project has a high risk of supplier delays. Which weighting change would make calculated durations more sensitive to pessimistic estimates?
Perform a PERT analysis by changing the way Project weights duration estimates
Medium
A.Increase the optimistic weight relative to the other weights
B.Increase the pessimistic weight relative to the other weights
C.Give the expected estimate all of the available weight
D.Remove the pessimistic estimate from the calculation
Correct Answer: Increase the pessimistic weight relative to the other weights
Explanation:
A larger pessimistic weight pulls the weighted duration toward the pessimistic estimate, reflecting greater concern about delays.
Incorrect! Try again.
36A manager changes Project's PERT weights before recalculating a selected group of tasks. What practice supports consistent interpretation of the results?
Perform a PERT analysis by changing the way Project weights duration estimates
Medium
A.Use a different time unit for each of the three estimates
B.Replace every pessimistic estimate with the expected estimate
C.Document the selected weights and the reason for using them
D.Remove all task dependencies before running the calculation
Correct Answer: Document the selected weights and the reason for using them
Explanation:
Documenting custom weights makes the assumptions visible and helps stakeholders interpret and reproduce the estimates.
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37For estimates , , and , what duration results from weights of 1, 2, and 3?
Perform a PERT analysis by changing the way Project weights duration estimates
Medium
A.8.5 days
B.8 days
C.9 days
D.7.5 days
Correct Answer: 8.5 days
Explanation:
The duration is days.
Incorrect! Try again.
38A task has estimates , , and . What duration results from custom weights of 3, 2, and 1?
Perform a PERT analysis by changing the way Project weights duration estimates
Medium
A.10 days
B.9 days
C.8 days
D.7 days
Correct Answer: 8 days
Explanation:
The weighted duration is days.
Incorrect! Try again.
39Weights of 1, 4, and 1 are replaced by 2, 8, and 2 without changing the task estimates. How will the calculated duration change?
Perform a PERT analysis by changing the way Project weights duration estimates
Medium
A.It will be doubled
B.It will be halved
C.It will equal the expected estimate
D.It will remain unchanged
Correct Answer: It will remain unchanged
Explanation:
The new weights are proportional to the old weights. Multiplying every weight by the same factor does not change the weighted average.
Incorrect! Try again.
40A task has estimates , , and . What duration is produced using custom weights of 1, 1, and 2?
Perform a PERT analysis by changing the way Project weights duration estimates
Medium
A.8.75 days
B.9.25 days
C.9.75 days
D.8.25 days
Correct Answer: 9.25 days
Explanation:
The weighted duration is days.
Incorrect! Try again.
41A task has optimistic, expected, and pessimistic estimates of 6, 10, and 20 days. Which interpretation of the PERT duration is most accurate?
About the PERT analysis
Hard
A.It is the latest date by which the task must finish.
B.It is the duration that has exactly a 50% probability.
C.It is a contractual duration that already includes every possible scheduling, resource, and calendar risk.
D.It is a weighted estimate rather than a guaranteed completion time.
Correct Answer: It is a weighted estimate rather than a guaranteed completion time.
Explanation:
PERT combines three estimates into an expected duration. The result is an estimate, not a guarantee, deadline, or exact probability percentile.
Incorrect! Try again.
42Using Project's default PERT weights, what duration is calculated for a task with optimistic, expected, and pessimistic estimates of 5, 11, and 23 days?
Perform a PERT analysis by using the default weights for duration estimates
Hard
A.12 days
B.13 days
C.14 days
D.11 days
Correct Answer: 12 days
Explanation:
The default formula is . Thus, days.
Incorrect! Try again.
43A task's default-weighted PERT duration is 15 days. Its optimistic estimate is 7 days and its pessimistic estimate is 23 days. What expected estimate was entered?
Perform a PERT analysis by using the default weights for duration estimates
Hard
A.14 days
B.15 days
C.13 days
D.16 days
Correct Answer: 15 days
Explanation:
From , we obtain , so days.
Incorrect! Try again.
44A project has two parallel paths. Path A contains serial tasks with estimates and days. Path B contains one task with estimates days. Using default PERT weights and ignoring calendars and constraints, what is the expected project duration?
Perform a PERT analysis by using the default weights for duration estimates
Hard
A.12 days
B.15 days
C.13 days
D.14 days
Correct Answer: 14 days
Explanation:
Path A is days. Path B is days. Parallel paths make the project duration the longer value, 14 days.
Incorrect! Try again.
45Tasks X and Y both have a default PERT duration of 10 days. X has estimates , while Y has . Under the classical PERT variance approximation, which conclusion is correct?
About the PERT analysis
Hard
A.X has four times Y's variance.
B.Y has four times X's variance.
C.Both tasks have equal variance.
D.X has twice Y's variance.
Correct Answer: X has four times Y's variance.
Explanation:
PERT variance is . X has variance , while Y has variance .
Incorrect! Try again.
46One serial path has an expected duration of 20 days and a total PERT variance of 5 days squared. Under the normal approximation, what is the approximate probability that the path finishes within 23 days?
About the PERT analysis
Hard
A.Approximately 0.91
B.Approximately 0.84
C.Approximately 0.98
D.Approximately 0.75
Correct Answer: Approximately 0.91
Explanation:
The standard deviation is . Therefore, , and .
Incorrect! Try again.
47For a fixed serial path, the optimistic, expected, and pessimistic durations of every task are added separately and the default PERT formula is then applied to the three totals. How does this result compare with calculating each task's PERT duration first and then adding the results?
Perform a PERT analysis by using the default weights for duration estimates
Hard
A.The aggregate method is always more optimistic.
B.The results agree only when all tasks have identical three-point estimates and use the same calendar.
C.The task-level method is always more pessimistic.
D.The two results are equal before rounding.
Correct Answer: The two results are equal before rounding.
Explanation:
Weighted averaging is linear: applying the same weights to summed estimates equals summing the individually weighted estimates. Rounding may introduce small differences.
Incorrect! Try again.
48Project uses a five-day working week. A task is entered with optimistic days, expected working week, and pessimistic days. What is its default-weighted PERT duration after conversion to working days?
Perform a PERT analysis by using the default weights for duration estimates
Hard
A.6 working days
B.5 working days
C.4 working days
D.7 working days
Correct Answer: 5 working days
Explanation:
One working week is 5 days. Therefore, working days.
Incorrect! Try again.
49A task is mistakenly entered with optimistic, expected, and pessimistic values of 12, 8, and 20 days. What is the most defensible conclusion after default PERT calculation?
Perform a PERT analysis by using the default weights for duration estimates
Hard
A.The formula returns exactly 8 days because the expected estimate has the greatest weight.
B.The formula returns about 10.67 days, but the estimate labels should be corrected.
C.The formula refuses the values because optimistic duration must be the smallest estimate.
D.The formula automatically sorts the estimates into ascending order before applying the default weights.
Correct Answer: The formula returns about 10.67 days, but the estimate labels should be corrected.
Explanation:
The arithmetic gives . A computable result does not make the semantically inconsistent inputs valid.
Incorrect! Try again.
50Project is configured with custom optimistic, expected, and pessimistic weights of 2, 3, and 1. What duration results from estimates of 5, 9, and 17 days?
Perform a PERT analysis by changing the way Project weights duration estimates
Hard
A.9 days
B.8 days
C.11 days
D.10 days
Correct Answer: 9 days
Explanation:
The weights sum to 6, so days.
Incorrect! Try again.
51Which custom PERT weight set satisfies Project's requirement that the optimistic, expected, and pessimistic weights total 6?
Perform a PERT analysis by changing the way Project weights duration estimates
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Only . A total of 6 preserves Project's weighted-duration calculation convention.
Incorrect! Try again.
52A task has estimates days. The optimistic weight is fixed at 1, all three weights must total 6, and the desired weighted duration is 12 days. Which expected and pessimistic weights achieve this?
Perform a PERT analysis by changing the way Project weights duration estimates
Hard
A. and
B. and
C. and
D. and
Correct Answer: and
Explanation:
Let . Solving gives and .
Incorrect! Try again.
53A task has an expected estimate of 8 days and a pessimistic estimate of 20 days. If one unit of weight is moved from the expected estimate to the pessimistic estimate while the total remains 6, by how much does the PERT duration change?
Perform a PERT analysis by changing the way Project weights duration estimates
Hard
A.It increases by 6 days.
B.It increases by 1 day.
C.It increases by 12 days.
D.It increases by 2 days.
Correct Answer: It increases by 2 days.
Explanation:
The numerator changes by . Dividing by the fixed total weight gives an increase of days.
Incorrect! Try again.
54Task X has estimates and Task Y has . Which statement correctly compares default weights with pessimistic-heavy weights ?
Perform a PERT analysis by changing the way Project weights duration estimates
Hard
A.X is longer by default, but Y is longer with pessimistic-heavy weights.
B.Y is longer under both weight sets.
C.X is longer under both weight sets.
D.Y is longer by default, but X becomes longer because increasing the pessimistic weight always favors tasks with smaller optimistic estimates.
Correct Answer: X is longer by default, but Y is longer with pessimistic-heavy weights.
Explanation:
Default durations are for X and for Y. With , they become and , respectively.
Incorrect! Try again.
55Parallel paths A and B have aggregate estimates and days. Which path is longer under default weights, and which is longer under custom weights ?
Perform a PERT analysis by changing the way Project weights duration estimates
Hard
A.A under default; B under custom
B.A under both weight sets
C.B under default; A under custom
D.B under both weight sets
Correct Answer: A under default; B under custom
Explanation:
Default values are for A and for B. Custom values are for A and for B, so the controlling path changes.
Incorrect! Try again.
56A task's three estimates are 6, 9, and 15 days. Can nonnegative custom weights totaling 6 produce a weighted duration of 16 days?
Perform a PERT analysis by changing the way Project weights duration estimates
Hard
A.Yes, by assigning negative weight to the optimistic estimate and compensating with a larger expected weight.
B.No, because a weighted average cannot exceed 15 days.
C.Yes, by assigning all six units to the pessimistic estimate.
D.No, because custom weighting can produce only integer durations.
Correct Answer: No, because a weighted average cannot exceed 15 days.
Explanation:
With nonnegative weights, the result must lie in the convex range from the minimum estimate, 6, to the maximum estimate, 15.
Incorrect! Try again.
57What is the mathematical effect of using custom weights for every task?
Perform a PERT analysis by changing the way Project weights duration estimates
Hard
A.The calculated duration equals the pessimistic estimate.
B.The calculated duration equals the expected estimate.
C.The calculated duration becomes the simple three-point average.
D.The calculated duration includes uncertainty through the optimistic and pessimistic ranges.
Correct Answer: The calculated duration equals the expected estimate.
Explanation:
The formula becomes . The optimistic and pessimistic estimates have no effect.
Incorrect! Try again.
58A task was calculated with default PERT weights and now has a duration of 10 days. The user changes the PERT weights but does not run the PERT calculation again. What should be expected?
Perform a PERT analysis by changing the way Project weights duration estimates
Hard
A.The duration changes only after the project file is reopened.
B.The duration is recalculated automatically only for tasks currently on the critical path.
C.The duration changes immediately when the weight dialog closes.
D.The duration remains 10 days until PERT is recalculated.
Correct Answer: The duration remains 10 days until PERT is recalculated.
Explanation:
Changing the weight settings changes how a subsequent PERT calculation operates; it does not by itself replace already calculated task durations.
Incorrect! Try again.
59Why can a path with a smaller expected PERT duration still present a substantial schedule risk compared with the path identified as critical by expected durations?
About the PERT analysis
Hard
A.Critical-path calculations ignore task durations and select the path containing the greatest number of activities.
B.PERT automatically makes every noncritical path critical after resource leveling.
C.A smaller expected duration implies that its pessimistic estimate must also be smaller.
D.Its variance may be large enough to create a meaningful probability of overrun.
Correct Answer: Its variance may be large enough to create a meaningful probability of overrun.
Explanation:
Expected-duration criticality does not capture the complete duration distribution. A near-critical path with high variance can overtake the expected critical path.
Incorrect! Try again.
60Before replacing task durations through a PERT calculation, a manager saves a project baseline. Which statement best describes the value and limitation of this action?
About the PERT analysis
Hard
A.It preserves the three-point estimates but automatically discards every previously entered constraint.
B.It preserves baseline values for comparison but does not prevent current durations from changing.
C.It converts the deterministic schedule into a full simulation containing probability distributions for resources, costs, calendars, and dependencies.
D.It locks all current durations and causes the PERT calculation to update only baseline fields.
Correct Answer: It preserves baseline values for comparison but does not prevent current durations from changing.
Explanation:
A baseline provides reference values for variance analysis. It does not lock the active schedule or stop PERT-calculated durations from updating current task data.
Incorrect! Try again.
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