12/7/2019 Week 14 Homework: Simulation - ISYE-6644-OAN
Week 14 Homework
Due Dec 1 at 11:59pm Points 7 Questions 7
Available after Nov 22 at 8am Time Limit None
Attempt History
Attempt Time Score
LATEST Attempt 1 10,065 minutes 6 out of 7
Score for this quiz: 6 out of 7
Submitted Dec 1 at 8:43pm
This attempt took 10,065 minutes.
Question 1 pts
(Lesson 10.1: Introduction to Comparison of Systems.) Suppose we are
dealing with i.i.d. normal observations with unknown variance. Which of the
following is true about a 95% confidence interval for the mean ?
a. If you take more observations, the CI will always shrink.
Correct!
b. We are 95% sure that our CI will actually contain the unknown value of
c. If we calculate 100 of these CI's, exactly 95 will actually contain .
d. A 99% CI based on the same data will be shorter than the corresponding
95% CI.
, 12/7/2019 Week 14 Homework: Simulation - ISYE-6644-OAN
(b). [(a) would be correct if you said ``usually'' instead of "always''. (c)
would be OK if you said "about'' instead of "exactly''. (d) is simply
wrong.]
Question 2 pts
(Lesson 10.3: Confidence Intervals for the Difference in Two Means.) 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 system 2
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.
a. [-30, -5]
b. [-15, 5]
Correct! c. [-29.76, 9.76]
d. [-35, 10]
e. [5, 30]
Week 14 Homework
Due Dec 1 at 11:59pm Points 7 Questions 7
Available after Nov 22 at 8am Time Limit None
Attempt History
Attempt Time Score
LATEST Attempt 1 10,065 minutes 6 out of 7
Score for this quiz: 6 out of 7
Submitted Dec 1 at 8:43pm
This attempt took 10,065 minutes.
Question 1 pts
(Lesson 10.1: Introduction to Comparison of Systems.) Suppose we are
dealing with i.i.d. normal observations with unknown variance. Which of the
following is true about a 95% confidence interval for the mean ?
a. If you take more observations, the CI will always shrink.
Correct!
b. We are 95% sure that our CI will actually contain the unknown value of
c. If we calculate 100 of these CI's, exactly 95 will actually contain .
d. A 99% CI based on the same data will be shorter than the corresponding
95% CI.
, 12/7/2019 Week 14 Homework: Simulation - ISYE-6644-OAN
(b). [(a) would be correct if you said ``usually'' instead of "always''. (c)
would be OK if you said "about'' instead of "exactly''. (d) is simply
wrong.]
Question 2 pts
(Lesson 10.3: Confidence Intervals for the Difference in Two Means.) 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 system 2
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.
a. [-30, -5]
b. [-15, 5]
Correct! c. [-29.76, 9.76]
d. [-35, 10]
e. [5, 30]
