1A sample of 12 items has a mean of 13.8 and a standard deviation of 2.5. Using a T-distribution with a critical value of 2.201 (95% C.I.), what is the margin of error for the confidence interval?
2To estimate a mean with a 95% confidence level (Z = 1.96), a standard deviation of 1.0, and an allowable error of 0.03, what is the required sample size (n)?
3Based on the least squares regression line equation Y = 56.86 + 2.5X, what is the forecasted value for period X = 10?
4For a Poisson distribution where the average rate (lambda) is 16, what is the probability that X = 10?
5In project management, if the Cost Performance Index (CPI) is calculated as 0.88, what does this value imply about the project's performance?
6When using Castigliano's First Theorem to calculate deflection (Delta = sum(FfL/AE)), what does the term 'f' represent?
7According to the project management principles provided, the objective of a project is usually defined in terms of which three factors?
8Using the Beta distribution formula (TE = (To + 4Tm + Tp) / 6), calculate the expected duration for an activity with To=5, Tm=8, and Tp=17.
9In a hypothesis test where the calculated test statistic T_test is -2.6 and the critical value at a 1% level is -2.718, what is the correct statistical conclusion?
10In the analysis of a redundant truss where member C-F is 5 mm too short, which value represents the 'lambda' (misfit) in the Castigliano II formula?
