Isye 6644 Actual Exam Script With Solved Questions And Verified Solutions

ISYE 6644 ACTUAL EXAM SCRIPT WITH
SOLVED QUESTIONS AND VERIFIED
SOLUTIONS

◉ (9.6) The method of batch means
Answer: The resulting batch sample means are aproximately i.i.d.
normal.


◉ (9.7) True or False. The method of batch means is easy to use.
Answer: True


◉ (9.7) True or False. Batch means chops the consecutive
observations into a number of nonoverlapping, contiguous
batches.
Answer: True


◉ (9.7) True or False. You can use the method of batch means to
obtain a confidence interval for the steady-state mean μ.
Answer: True


◉ (9.7) True or False. The batch means estimator for the variance
parameter σ^2 is asymptotically unbiased as the batch size m→∞.
Answer: True

, ◉ (10.1) Which of the following parameters can you get
confidence intervals for? Means, Variances, Quantiles, Differences
between the means of two systems, or all of those.
Answer: All. We can get CIs for means, variances, quantiles, and
differences between the means of two systems.


◉ Bernoulli probability selection problem
Answer: Bunch of Bernoulli populations and find the one with the
best success probability


◉ Multinomial cell selection problem
Answer:


◉ Normal means ranking and selection problem
Answer: Bunch of normal distributions and we want to find the
one with the largest or smallest mean.


◉ (10.2) "Assume unknown variance sigma^2". Probably will use
t-distribution.
Answer: True.


◉ (10.2) If we have an i.i.d. normal sample of observations,
X1,X2,...,Xn, what probability distribution is most-commonly used
to obtain confidence intervals for the mean?
Answer: t-distribution