ISYE 6644 - Final prep questions with answers
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What is a possible goal of an indifference-zone normal means
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selection technique? - CORRECT ANSWERS ✔✔Find the normal
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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.
|\ |\ |\
Suppose that we want to know which of Coke, Pepsi and Dr.pepper
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
is the most popular. We would like to make the correct selection
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
with probability of at least P*=0.90 in the event that the ration of
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
the highest-to-second-highest preference probabilities happens to be
|\ |\ |\ |\ |\ |\
at least 0*=1.4. How many people does the single-stage procedure
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
Mbem require us to interview? - CORRECT ANSWERS ✔✔126
|\ |\ |\ |\ |\ |\ |\ |\
Go to the table in the notes and pick off the entry for k=3,
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
P^⋆=0.90, and θ^⋆=1.4. |\ |\
, Which of the following parameters can you get confidence intervals
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\
for?
Means
Variances
Quantiles
Differences between the means of two systems - CORRECT |\ |\ |\ |\ |\ |\ |\ |\ |\
ANSWERS ✔✔All of the above |\ |\ |\ |\
If we have an iid normal sample of observations, X1, X2,...Xn, what
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
probability distribution is most-commonly used to obtain cofidence
|\ |\ |\ |\ |\ |\ |\ |\
intervals for the mean? - CORRECT ANSWERS ✔✔t
|\ |\ |\ |\ |\ |\ |\
TRUE or FALSE? The paired CI for the differences in two means is
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
designed to work especially well if all of the observations from the
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
first population are completely independent of all of the
|\ |\ |\ |\ |\ |\ |\ |\ |\
observations from the second population. - CORRECT ANSWERS |\ |\ |\ |\ |\ |\ |\ |\
✔✔FALSE. {In fact, it's easier to distinguish between the two means
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\
if Xi is positively correlated with Yi. Think about my parallel
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
parking example in the class notes.}
|\ |\ |\ |\ |\
TRUE or FALSE? You can use a version of independent replications
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
to obtain confidence intervals for the difference in the means from
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
two simulation models. - CORRECT ANSWERS ✔✔TRUE
|\ |\ |\ |\ |\ |\
|\ |\ |\ |\ |\ |\ |\
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.
|\ |\ |\
Suppose that we want to know which of Coke, Pepsi and Dr.pepper
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
is the most popular. We would like to make the correct selection
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
with probability of at least P*=0.90 in the event that the ration of
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
the highest-to-second-highest preference probabilities happens to be
|\ |\ |\ |\ |\ |\
at least 0*=1.4. How many people does the single-stage procedure
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
Mbem require us to interview? - CORRECT ANSWERS ✔✔126
|\ |\ |\ |\ |\ |\ |\ |\
Go to the table in the notes and pick off the entry for k=3,
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
P^⋆=0.90, and θ^⋆=1.4. |\ |\
, Which of the following parameters can you get confidence intervals
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\
for?
Means
Variances
Quantiles
Differences between the means of two systems - CORRECT |\ |\ |\ |\ |\ |\ |\ |\ |\
ANSWERS ✔✔All of the above |\ |\ |\ |\
If we have an iid normal sample of observations, X1, X2,...Xn, what
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
probability distribution is most-commonly used to obtain cofidence
|\ |\ |\ |\ |\ |\ |\ |\
intervals for the mean? - CORRECT ANSWERS ✔✔t
|\ |\ |\ |\ |\ |\ |\
TRUE or FALSE? The paired CI for the differences in two means is
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
designed to work especially well if all of the observations from the
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
first population are completely independent of all of the
|\ |\ |\ |\ |\ |\ |\ |\ |\
observations from the second population. - CORRECT ANSWERS |\ |\ |\ |\ |\ |\ |\ |\
✔✔FALSE. {In fact, it's easier to distinguish between the two means
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\
if Xi is positively correlated with Yi. Think about my parallel
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
parking example in the class notes.}
|\ |\ |\ |\ |\
TRUE or FALSE? You can use a version of independent replications
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
to obtain confidence intervals for the difference in the means from
|\ |\ |\ |\ |\ |\ |\ |\ |\ |\ |\
two simulation models. - CORRECT ANSWERS ✔✔TRUE
|\ |\ |\ |\ |\ |\
