Georgia Institute Of Technology ISYE 6644 Week 14 Homework_ Simulation - ISYE-6644-OAN

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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 t... his quiz: 6 out of 7 Submitted Dec 1 at 8:43pm This attempt took 10,065 minutes. Question 1 1 / 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. b. We are 95% sure that our CI will actually contain the unknown value of Correct! Correct! 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. (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 1 / 1 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! Correct! c. [-29.76, 9.76] d. [-35, 10] e. [5, 30] [Show More]

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