11/222, 7:51 PM Quiz: 09 09 Started: Nov 2 at 7:51pm Quiz Instructions Question 1 1 pts The length of time a patient stays in a hospital is a variable of great interest for insurance and resource allocation purposes. In a given hospital, a simple random sample of lengths of stay in the intensive care unit was taken, with these (sorted) results in hours: 10, 20,40, 60, 120, 150, 200, 300, 400. Create a QQ-plot of the observations. Which of the following three does it look the most like? sample theoretical oz ox OY httpszllcanvaswisc.edu/coumes/320503/quizze51373570ltake 115 11/2122, 7:51 PM Quiz: 09 Question 2 0.5 pts Your collaborators do not want to assume normality of the population. Use the bootstrap code from lecture in lecture.Rmd,m ($CANVASMCOURSEMREFERENCE$Imoduleslitemslgf43773f555d6260faf837439eeb4808 revising it a little as described in lecture, to make a bootstrap 99% confidence interval for the unknown population mean [.L and run a test for H0 : ,u = 150 vs. HA : p, > 150 using B=10000 resamples. Add this line of code at the top: set.seed(9) It ensures that your sequence of random samples is the same as mine, so that we will get the same answers. Find the smaller of the two critical :1: values, f(1_a/2). Question 3 0.5 pts Find the larger of the two critical values, (a/2)- Question 4 0.5 pts What is the lower limit of the 99% confidence interval? httpszlfcanvaswisc.edu/courses/320SOB/quizze51373570llake 215 11/222,715? PM Quiz: 09 Question 5 0.5 pts What is the upper limit of the 99% confidence interval? Question 6 0.5 pts Which interval is wider: the one we get when assuming normality of the data, or the one created using the bootstrap method? 0 Bootstrap 0 Assuming normality Question 7 0.5 pts Regarding the hypothesis test, find the value of the test statistic. Question 8 0.5 pts httpszllcanvaswiso.edu/courses/320503/quizzes.'373570llake 3f5 111222, 7:51 PM Quiz: Q9 Find the p-value. Question 9 0.5 pts A homeowner had a slowly-draining kitchen sink. He plugged the sink, poured two gallons of water in the sink, unplugged the sink, and measured the time until the sink had drained. He repeated this 6 times, with these draining times in seconds: 13,14,10,17,11,15 He wants to know whether the data are strong evidence the population median time to drain the sink is more than 12 seconds. Which hypotheses are required? 1.HD:M=12VS.HA:M12 3.H0:M=12VS.HA:M712 Question 10 0.5 pts Consider the statement, "We will treat the data as a simple random sample from the population of draining times." Is this assumption required to proceed? 0 Yes. O No. httpszllcanvaswi5c.edu/couLees/320503/quizze51373570ltake 415 11/2/22, 7:51 PM Quiz: Q9 Question 11 0.5 pts Consider the statement, We will treat the data as a simple random sample from a normal population." Is this assumption required to proceed? Yes. O No. Question 12 0.5 pts What is the value of the sign test statistic? Question 13 0.5 pts Find the p-value of the sign test. Not saved Submit Quiz https://canvas.wisc.edu/courses/320503/quizzes/373570/take 5/5