A study on the mode of transport that workers use to commute to work and the associated distance covered by each mode of transport is summarised in the following table: Distance Mode of Transport Bus Car Train Total 0km < 10km 10 32 11 53 10km < 50km 35 17 45 97 Total 45 49 56 150 Use the table above to test the sample for independence between modes of transport and the distance from the office at a 5% level of significance.

To test whether two categorical variables are associated or independent, the chi-square test of…

Answered: A study on the mode of transport that…

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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A study on the mode of transport that workers use to commute to work and the associated distance covered by each mode of transport is summarised in the following table: Distance

Mode of Transport

Bus

Car

Train

Total

0km < 10km

10km < 50km

Total

150

Use the table above to test the sample for independence between modes of transport and the distance from the office at a 5% level of significance.

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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