UNDERSTANDING BASIC STATISTICS (LOOSE)
8th Edition
ISBN: 9781337558198
Author: BRASE
Publisher: CENGAGE L
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Textbook Question
Chapter 5, Problem 1CR
Terminology Consider the following terms:
Match each terms to the appropriate description.
(i) the event: that event A does not occur
(ii) collection of one or more outcomes of a statistical experiment or observation
(iii) set of all outcomes of a statistical experiment or observation
Expert Solution & Answer
To determine
The correct match for the provided terms sample space, event A, and complement of event A with their appropriate descriptions.
Answer to Problem 1CR
Solution:
The correct match for the term ‘sample space’ is ‘set of all possible outcomes of a statistical experiment or observation’.
The correct match for the term ‘event A’ is ‘collection of one or more outcomes of a statistical experiment or observation’.
The correct match for the term ‘complement of event A’ is ‘the event that event A does not occur’.
Explanation of Solution
Given Information:
The provided descriptions are:
(i) The event that event A does not occur.
(ii) Collection of one or more outcomes of a statistical experiment or observation.
(iii) Set of all possible outcomes of a statistical experiment or observation.
Consider the term ‘sample space’ in which a particular outcome of a statistical experiment is known as a simple event. The set of all possible outcomes (simple events) of a statistical experiment constitutes the sample space of an experiment. It is denoted by ‘S’.
So, the correct match for the ‘set of all possible outcomes of a statistical experiment or observation’ is ‘sample space’.
Consider the term ‘event A’ that can be defined as the subset of a sample space that consists of a collection of one or more outcomes of an experiment. So, the correct match for the ‘collection of one or more outcomes of a statistical experiment or observation’ is ‘event A’.
Consider the term ‘complement of event A’. It can be defined as the event that event A does not occur. It can be denoted by ‘event
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Students have asked these similar questions
4. (5 pts) Conduct a chi-square contingency test (test of independence) to assess whether
there is an association between the behavior of the elderly person (did not stop to talk,
did stop to talk) and their likelihood of falling. Below, please state your null and
alternative hypotheses, calculate your expected values and write them in the table,
compute the test statistic, test the null by comparing your test statistic to the critical
value in Table A (p. 713-714) of your textbook and/or estimating the P-value, and
provide your conclusions in written form. Make sure to show your work.
Did not stop walking to talk
Stopped walking to talk
Suffered a fall
12
11
Totals
23
Did not suffer a fall | 2
Totals
35
37
14
46
60
T
Question 2
Parts manufactured by an injection molding process are subjected to a compressive strength test. Twenty samples
of five parts each are collected, and the compressive strengths (in psi) are shown in Table 2.
Table 2: Strength Data for Question 2
Sample Number
x1
x2
23
x4
x5
R
1
83.0
2
88.6 78.3 78.8
3
85.7
75.8
84.3
81.2 78.7 75.7 77.0
71.0 84.2
81.0
79.1
7.3
80.2 17.6
75.2
80.4
10.4
4
80.8
74.4
82.5
74.1 75.7 77.5
8.4
5
83.4
78.4
82.6 78.2
78.9
80.3
5.2
File Preview
6
75.3
79.9
87.3 89.7
81.8
82.8
14.5
7
74.5
78.0 80.8
73.4
79.7
77.3
7.4
8
79.2
84.4 81.5 86.0
74.5
81.1
11.4
9
80.5
86.2
76.2 64.1
80.2
81.4
9.9
10
75.7
75.2
71.1 82.1
74.3
75.7
10.9
11
80.0 81.5
78.4 73.8
78.1
78.4
7.7
12
80.6
81.8
79.3
73.8
81.7 79.4
8.0
13
82.7
81.3
79.1
82.0 79.5 80.9
3.6
14
79.2
74.9
78.6 77.7
75.3
77.1
4.3
15
85.5 82.1
82.8 73.4
71.7
79.1
13.8
16
78.8 79.6
80.2 79.1
80.8 79.7
2.0
17
82.1
78.2
18
84.5
76.9
75.5
83.5 81.2
19
79.0 77.8
20
84.5
73.1
78.2 82.1
79.2 81.1 7.6
81.2 84.4 81.6 80.8…
Name:
Lab Time:
Quiz 7 & 8 (Take Home) - due Wednesday, Feb. 26
Contingency Analysis (Ch. 9)
In lab 5, part 3, you will create a mosaic plot and conducted a chi-square contingency test to
evaluate whether elderly patients who did not stop walking to talk (vs. those who did stop)
were more likely to suffer a fall in the next six months. I have tabulated the data below.
Answer the questions below. Please show your calculations on this or a separate sheet.
Did not stop walking to talk
Stopped walking to talk Totals
Suffered a fall
Did not suffer a fall
Totals
12
11
23
2
35
37
14
14
46
60
Quiz 7:
1. (2 pts) Compute the odds of falling for each group. Compute the odds ratio for those
who did not stop walking vs. those who did stop walking. Interpret your result verbally.
Chapter 5 Solutions
UNDERSTANDING BASIC STATISTICS (LOOSE)
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