ISSA EXAM FINAL nutrition Exam/ Quality Document / Latest 2025
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ISYE 6644 - Fina
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ISYE 6644 - Fina
ISSA EXAM FINAL nutrition Exam/ Quality Document / Latest 2025
EXTREME NEGATVIE ENERGY BALANCE CAN AFFECT _________________ - CORRECT ANSWERS -REPRODUCTIVE
METABOLIC
COGNITIVE
RESEARCH NOW SHOW THAT PEOPLE ON AVERAGE EXPERIENCE A ______________ DECLINE IN THERE REST METABOLIC RATE WITH EAC...
ISYE 6644 - Final prep/ Latest Update
2025
Statistical ranking and selection techniques have been designed to address a variety of
comparison problems. Which ones from the following list?
Find the population having the largest mean.
Find the system with the smallest variance.
Find the alternative with the highest success probability.
Find the most-popular candidate.
All of the above. - CORRECT ANSWERS -All of the above.
Suppose we are dealing with i.e. normal observations with unknown variance. Which of
the following is true about a 95% confidence interval for the mean μ? - CORRECT
ANSWERS -We are 95% sure that our CI will actually contain the unknown value of μ.
We are studying the waiting times arising from two queueing systems. Suppose we
make 4 independent replications of both systems, where the systems are simulated
independently of each other.
replication system 1 system2
1 10 25
2 20 10
3 5 40
4 30 30
Assuming that the average waiting time results from each replication are approximately
normal, find a two-sided 95% CI for the difference in the means of the two systems. -
CORRECT ANSWERS -This is a two-sample CI problem assuming unknown and
unequal variances. We have
[-29.76, 9.76]
This is sort of the same as Question 2, except we have now used common random
numbers to induce positive correlation between the results of the two systems. Again
find a two-sided 95% CI for the difference in the means of the two systems. -
CORRECT ANSWERS -This is a paired-t CI problem assuming unknown variance of
the differences.
[-16.5, -3.5]
Suppose A and B are two identically distributed, unbiased, antithetic estimators for the
mean μ of some random variable, and let C = ( A + B ) / 2. Which of the following is
true? - CORRECT ANSWERS -E [ C ] = μ and V a r ( C ) < V a r ( A ) / 2.
Suppose that you want to pick that one of three normal populations having the largest
mean. We'll assume that the variances of the three competitors are all known to be
equal to σ 2 = 4. (Yak, I know that this is a crazy, unrealistic assumption, but let's go
with it anyway, okay donkey?) I want to choose the best of the three populations with
, probability of correct selection of 95% whenever the best population's mean happens to
be at least δ ⋆ = 1 larger than the second-best population's. How many observations
from each population does Bechhofer's procedure N B tell me to take before I can make
such a conclusion? - CORRECT ANSWERS -Using the notation of the notes, we want
to make sure to get the right answer with probability of P ⋆ = 0.95 whenever μ [ k ] − μ [
k − 1 ] ≥ δ ⋆ = 1.
We simply go to NB's table with k = 3 and δ ⋆ / σ = to obtain a sample size of n =
30 from each population.
In the above problem, suppose that we take the necessary observations and we come
up with the following sample means: X ¯ 1 = 7.6, X ¯ 2 = 11.1, and X ¯ 3 = 3.6. What do
we do? - CORRECT ANSWERS -Pick population 2 and say that we are right with
probability at least 95%
What is a possible goal of an indifference-zone normal means selection technique? -
CORRECT ANSWERS -Find the normal population having the largest mean, especially
if the largest mean is ≫ the second-largest.
TRUE or FALSE? The Bechhofer procedure for selecting the normal population with the
largest mean specifies the appropriate number of observations to take from each
competing population, and simply selects the competitor having the largest sample
mean. - CORRECT ANSWERS -True
TRUE or FALSE? Sometimes a single-stage procedure like Bechhofer's is inefficient. In
fact, it's possible to use certain sequential procedures that take observations one-at-a-
time (instead of all at once in a single stage) to make good selection decisions using
fewer observations. - CORRECT ANSWERS -True
For which scenarios(s) below might it be appropriate to use a Bernoulli selection
procedure?
a) Find the inventory policy having the largest profit.
b) Find the drug giving the best chance of a cure.
c) Find the maintenance policy having the lowest failure probability.
d) Find the scheduling rule that that has the best chance of making an on-time delivery.
- CORRECT ANSWERS -All three of (b), (c), and (d).
Suppose that a Bernoulli selection procedure tells you to take 100 observations from
each of two populations, A and B. It turns out that A gets 85 successes and B gets 46
successes. What do you think? - CORRECT ANSWERS -1) A almost certainly has a
higher success probability than B.
2) We could've probably stopped sampling a bit earlier (i.e., with fewer than 100
observations) because A was so far ahead of B.
For which scenarios(s) below might it be appropriate to use a multinomial selection
procedure? - CORRECT ANSWERS -Find the most-popular political candidate.
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