Solved: A group of human factor researchers are concerned

Chapter 1, Problem 9.112

(choose chapter or problem)

A group of human factor researchers are concerned about reaction to a stimulus by airplane pilots in a certain cockpit arrangement. An experiment was conducted in a simulation laboratory, and 15 pilots were used with average reaction time of 3.2 seconds with a sample standard deviation of 0.6 second. It is of interest to characterize the extreme (i.e., worst case scenario). To that end, do the following: (a) Give a particular important one-sided 99% condence bound on the mean reaction time. What assumption, if any, must you make on the distribution of reaction times? (b) Give a 99% one-sided prediction interval and give an interpretation of what it means. Must you makean assumption about the distribution of reaction times to compute this bound? (c) Compute a one-sided tolerance bound with 99% condence that involves 95% of reaction times. Again, give an interpretation and assumptions about the distribution, if any. (Note: The onesided tolerance limit values are also included in Table A.7.)