Answered: 40 people are randomly sent to walk one…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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40 people are randomly sent to walk one of four trails. The time (in minutes) they spend completing each trail is recorded in the table below.

(a) Test to see if the times needed to complete a trail vary. Use a 0.05 significance level.

(b) Test each pair (A/B, A/C, A/D, B/C, B/D, C/D) to see which trails have a statistically significant difference. Indicate your p-value for each comparison, and when the effect is statistically significant (use 0.05 as your significance level), declare which trail of the two takes more time to complete.

Trail A - 30, 33, 41, 27, 36, 31, 37, 40, 29, 35

Trail B - 27, 33, 38, 41, 40, 38, 35, 44, 41, 39

Trail C - 25, 34, 41, 39, 32, 30, 36, 35, 27, 33

Trail D - 41, 39, 46, 37, 40, 42, 50, 42, 50, 33, 47, 43

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