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 an average reaction time of 3.1 seconds with a sample standard deviation of 0.8 second. It is of interest to characterize the extreme (that is, the worst-case scenario). To that end, complete parts (a) through (c) below. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. Click here to view the table of tolerance factors for normal distributions. Give a particular important one-sided 95% confidence bound on the mean reaction time. What assumption, if any, must you make on the distribution of reaction times? The one-sided 95% confidence interval is u< (Round to three decimal places as needed.) What assumption, if any, needs to be made for the confidence interval in the previous step? O A. The population is normally distributed. O B. The population variance is known. OC. The sample is normally distributed. O D. No assumption is needed.

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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 an average reaction time of

3.1

seconds with a sample standard deviation of

0.8

second. It is of interest to characterize the extreme​ (that is, the​ worst-case scenario). To that​ end, complete parts​ (a) through​ (c) below.

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 an average reaction time of 3.1 seconds with a sample standard deviation of 0.8 second. It is of interest to
characterize the extreme (that is, the worst-case scenario). To that end, complete parts (a) through (c) below.
Click here to view page 1 of the table of critical values of the t-distribution.
Click here to view page 2 of the table of critical values of the t-distribution.
Click here to view the table of tolerance factors for normal distributions.
Give a particular important one-sided 95% confidence bound on the mean reaction time. What assumption, if any, must you make on the distribution of reaction
times?
The one-sided 95% confidence interval is u<
(Round to three decimal places as needed.)
What assumption, if any, needs to be made for the confidence interval in the previous step?
O A. The population is normally distributed.
O B. The population variance is known.
OC. The sample is normally distributed.
O D. No assumption is needed.
Transcribed Image Text: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 an average reaction time of 3.1 seconds with a sample standard deviation of 0.8 second. It is of interest to characterize the extreme (that is, the worst-case scenario). To that end, complete parts (a) through (c) below. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. Click here to view the table of tolerance factors for normal distributions. Give a particular important one-sided 95% confidence bound on the mean reaction time. What assumption, if any, must you make on the distribution of reaction times? The one-sided 95% confidence interval is u< (Round to three decimal places as needed.) What assumption, if any, needs to be made for the confidence interval in the previous step? O A. The population is normally distributed. O B. The population variance is known. OC. The sample is normally distributed. O D. No assumption is needed.
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