Given the information provided, if the trial were to be repeated with the aim of halving the width of a 95% confidence interval for the reductio

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Given the information provided, if the trial were to be repeated with the aim of halving the width of a 95% confidence interval for the reduction in swim time due to taking caffeine, how many people should be tested? Thank you :)

Volunteer
Swim time with
placebo (mins,
1km)
Swim time with
coffee (mins,
1km)
Volunteer
Swim time
with placebo
(mins, 1km)
Swim time
with coffee
(mins, 1km)
1
2
26.5 22.6 24.4
3
11 12
20.7 20.6
4 5
13
24.9
24.9 22.1 23.2 23.5 24.7 20.9
14
6
25.3 21.3
21.2 23.3
15
16
7
26.4
22.4 22.3 21.2 24.4 22.7 20.7 27.2
17
8
19.5 19.5 26.5
23.3 23.4 25.3 21.9
9
22.7 24.8 22.1
18
10
19
23.8 22.4
20
22.7
22.4 22.0 21.5
Transcribed Image Text:Volunteer Swim time with placebo (mins, 1km) Swim time with coffee (mins, 1km) Volunteer Swim time with placebo (mins, 1km) Swim time with coffee (mins, 1km) 1 2 26.5 22.6 24.4 3 11 12 20.7 20.6 4 5 13 24.9 24.9 22.1 23.2 23.5 24.7 20.9 14 6 25.3 21.3 21.2 23.3 15 16 7 26.4 22.4 22.3 21.2 24.4 22.7 20.7 27.2 17 8 19.5 19.5 26.5 23.3 23.4 25.3 21.9 9 22.7 24.8 22.1 18 10 19 23.8 22.4 20 22.7 22.4 22.0 21.5
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