Q 33. Marginal distributions aren鈥檛 ... [FREE SOLUTION]

91影视

The Practice of Statistics for AP

David Moore,Daren Starnes,Dan Yates

$Math Studyset 91影视 Explanations$ Math

4th Edition 路 809 pages

ISBN: 9781319113339

Chapter 1: Q 33. (page 26)

Marginal distributions aren鈥檛 the whole story Here are the row and column totals for a two-way table with two rows and two columns:
Find two different sets of counts $a, b, c,$ and $d$ for the body of the table that gives these same totals. This shows that the relationship between two variables cannot be obtained from the two individual distributions of the variables.

Short Answer

Expert verified

20	30	50	40	10	50
40	10	50	20	30	50
60	40	100	60	40	100

10	40	50	50	0	50
50	0	50	10	40	50
60	40	100	60	40	100

Step by step solution

Given information

The table is

a	b	50
c	d	50
60	40	100

Concept

The distribution of a category variable is displayed using pie charts and bar graphs. Any set of quantities measured in the same units can be compared using bar graphs. It's a good idea to ask yourself, "What do I see?" when looking at any graph.

Explanation

Below is an alternate set of counts $a, b, c,$ and $d$ for the table's body that provides the same totals:

a	b	50	30	20	50
c	d	50	30	20	50
60	40	100	60	40	100

20	30	50	40	10	50
40	10	50	20	30	50
60	40	100	60	40	100

10	40	50	50	0	50
50	0	50	10	40	50
60	40	100	60	40	100

This explains why the relationship between two variables cannot be determined solely by looking at the two individual variables.

As a result, the two different sets of counts have been discovered.

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Short Answer

Step by step solution

Given information

Concept

Explanation

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