Question

1. 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% confidence 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 make an assumption about the distribution of reaction times to compute
this bound?

Answer 1

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