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Suppose a population has an exponential distribution with A = 0.5. We can simulate drawing a sample of size 10 from this population with rexp(10,0.5) and compute a 95% confidence interval with t. test(rexp(10,0.5),mu=2)$conf.int . a. What is the population mean u? b. Write code to simulate 10000 confidence intervals and determine what percent of the time u is in the 95% confidence interval. c. Why is your answer different from 95%?

Suppose a population has an exponential distribution with A = 0.5. We can simulate drawing a sample of size 10 from this population with rexp(10,0.5) and compute a 95% confidence interval with t. test(rexp(10,0.5),mu=2)$conf.int . a. What is the population mean u? b. Write code to simulate 10000 confidence intervals and determine what percent of the time u is in the 95% confidence interval. c. Why is your answer different from 95%?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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This is a Statistics problem. Please code in R.

 

Suppose a population has an exponential distribution with A = 0.5. We can simulate drawing a sample of size 10 from this population with rexp(10,0.5) and compute a 95% confidence interval with t. test(rexp(10,0.5),mu=2)$conf.int . a. What is the population mean u? b. Write code to simulate 10000 confidence intervals and determine what percent of the time u is in the 95% confidence interval. c. Why is your answer different from 95%?
Transcribed Image Text:Suppose a population has an exponential distribution with A = 0.5. We can simulate drawing a sample of size 10 from this population with rexp(10,0.5) and compute a 95% confidence interval with t. test(rexp(10,0.5),mu=2)$conf.int . a. What is the population mean u? b. Write code to simulate 10000 confidence intervals and determine what percent of the time u is in the 95% confidence interval. c. Why is your answer different from 95%?
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