The accompanying table shows the data from a researcher studying the reaction times of rats. He has a requirement that the maze take about 62 seconds to complete on average. A student resampled the reaction times 1000 times. The accompanying histogram shows the distribution of the means, and a summ quantiles is shown below it. Complete parts a through d below. Člick here to view the data. Click here to view the results from resampling. a) Using the student's resampling. find a 99% bootstrap confidence interval for the true mean time it takes to complete the maze (in seconds) (Round to three decimal places as needed.) Resampling Results Rat Reaction Times Time (sec) 65.4 300 41.5 250 48.1 63.3 67.6 51.0 200- 44.5 44.6 150- 68.8 51.0 100 35.1 99.3 53.6 51.2 50 37.1 70.7 54.3 51.9 40 66.1 62.6 Bootstrapped Means 63.9 0.05% 0.1% 48.737 0.5% 1% 5% 50% 95% 99% 99.5% 99.9% 99.95% 49.177 49.486 50.540 51.864 56.495 62 220 64.211 64.972 66.889 68.685 Print Done Print Done

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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The accompanying table shows the data from a researcher studying the reaction times of rats. He has a requirement that the maze take about 62 seconds to complete on average. A student resampled the reaction times 1000 times. The accompanying histogram shows the distribution of the means, and a summary of the
quantiles is shown below it. Complete parts a through d below.
Click here to view the data, Click here to view the results from resampling.
a) Using the student's resampling, find a 99% bootstrap confidence interval for the true mean time it takes to complete the maze (in seconds).
(Round to three decimal places as needed.)
Resampling Results
Rat Reaction Times
Time (sec)
300-
41.5
65.4
250-
48.1
63.3
67.6
51.0
200-
44.5
44.6
150-
68.8
51.0
35.1
99.3
100-
53.6
51.2
50-
37.1
70.7
54.3
51.9
0-
40
45
55
60
65
70
50
Bootstrapped Means
66.1
62.6
63.9
99.95%
0.05%
48.737
0.1%
0.5%
1%
5%
50%
95%
99%
99.5%
99.9%
49.177
49.486
50.540
51.864
56.495
62.220
64.211
64.972
66.889
68.685
Print
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Transcribed Image Text:The accompanying table shows the data from a researcher studying the reaction times of rats. He has a requirement that the maze take about 62 seconds to complete on average. A student resampled the reaction times 1000 times. The accompanying histogram shows the distribution of the means, and a summary of the quantiles is shown below it. Complete parts a through d below. Click here to view the data, Click here to view the results from resampling. a) Using the student's resampling, find a 99% bootstrap confidence interval for the true mean time it takes to complete the maze (in seconds). (Round to three decimal places as needed.) Resampling Results Rat Reaction Times Time (sec) 300- 41.5 65.4 250- 48.1 63.3 67.6 51.0 200- 44.5 44.6 150- 68.8 51.0 35.1 99.3 100- 53.6 51.2 50- 37.1 70.7 54.3 51.9 0- 40 45 55 60 65 70 50 Bootstrapped Means 66.1 62.6 63.9 99.95% 0.05% 48.737 0.1% 0.5% 1% 5% 50% 95% 99% 99.5% 99.9% 49.177 49.486 50.540 51.864 56.495 62.220 64.211 64.972 66.889 68.685 Print Done Print Done
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