Beginning Statistics, 2nd Edition
2nd Edition
ISBN: 9781932628678
Author: Carolyn Warren; Kimberly Denley; Emily Atchley
Publisher: Hawkes Learning Systems
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Question
Chapter 3.PA, Problem 1P
To determine
To create:
The table with the percentage of gold medals won in each year.
Expert Solution & Answer
Answer to Problem 1P
Solution:
| Year | Number of Gold Medals | Number of |
Percentage of gold medals | Round off |
| 1924 | 1 | 16 | 6 | |
| 1928 | 2 | 14 | 14 | |
| 1932 | 6 | 14 | 43 | |
| 1936 | 1 | 17 | 6 | |
| 1948 | 3 | 22 | 14 | |
| 1952 | 4 | 22 | 18 | |
| 1956 | 2 | 24 | 8 | |
| 1960 | 3 | 27 | 11 | |
| 1964 | 1 | 34 | 3 | |
| 1968 | 1 | 35 | 3 | |
| 1972 | 3 | 35 | 9 | |
| 1976 | 3 | 37 | 8 | |
| 1980 | 6 | 38 | 16 | |
| 1984 | 4 | 39 | 10 | |
| 1988 | 2 | 46 | 4 | |
| 1992 | 5 | 57 | 9 | |
| 1994 | 6 | 61 | 10 | |
| 1998 | 6 | 68 | 9 | |
| 2002 | 10 | 78 | 13 | |
| 2006 | 9 | 84 | 11 |
Explanation of Solution
Given:
The data is given as,
| USA Gold Medal Count | |||||||||||
| Year | 1924 | 1928 | 1932 | 1936 | 1948 | 1952 | 1956 | 1960 | 1964 | 1968 | 1972 |
| Number of Gold Medals | 1 | 2 | 6 | 1 | 3 | 4 | 2 | 3 | 1 | 1 | 3 |
| Number of Events | 16 | 14 | 14 | 17 | 22 | 22 | 24 | 27 | 34 | 35 | 35 |
| Year | 1976 | 1980 | 1984 | 1988 | 1992 | 1994 | 1998 | 2002 | 2006 | 2010 | |
| Number of Gold Medals | 3 | 6 | 4 | 2 | 5 | 6 | 6 | 10 | 9 | ? | |
| Number of Events | 37 | 38 | 39 | 46 | 57 | 61 | 68 | 78 | 84 | 86 | |
The formula to calculate the number of gold medals won each year as a percentage of the number of events is given as,
| Year | Number of Gold Medals | Number of Events | Percentage of gold medals | Round off |
| 1924 | 1 | 16 | 6 | |
| 1928 | 2 | 14 | 14 | |
| 1932 | 6 | 14 | 43 | |
| 1936 | 1 | 17 | 6 | |
| 1948 | 3 | 22 | 14 | |
| 1952 | 4 | 22 | 18 | |
| 1956 | 2 | 24 | 8 | |
| 1960 | 3 | 27 | 11 | |
| 1964 | 1 | 34 | 3 | |
| 1968 | 1 | 35 | 3 | |
| 1972 | 3 | 35 | 9 | |
| 1976 | 3 | 37 | 8 | |
| 1980 | 6 | 38 | 16 | |
| 1984 | 4 | 39 | 10 | |
| 1988 | 2 | 46 | 4 | |
| 1992 | 5 | 57 | 9 | |
| 1994 | 6 | 61 | 10 | |
| 1998 | 6 | 68 | 9 | |
| 2002 | 10 | 78 | 13 | |
| 2006 | 9 | 84 | 11 |
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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
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12
11
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23
Did not suffer a fall | 2
Totals
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37
14
46
60
T
Question 2
Parts manufactured by an injection molding process are subjected to a compressive strength test. Twenty samples
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Sample Number
x1
x2
23
x4
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83.0
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80.8
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83.4
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82.6 78.2
78.9
80.3
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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
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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 3 Solutions
Beginning Statistics, 2nd Edition
Ch. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10E
Ch. 3.1 - Prob. 11ECh. 3.1 - Prob. 12ECh. 3.1 - Prob. 13ECh. 3.1 - Prob. 14ECh. 3.1 - Prob. 15ECh. 3.1 - Prob. 16ECh. 3.1 - Prob. 17ECh. 3.1 - Prob. 18ECh. 3.1 - Prob. 19ECh. 3.1 - Prob. 20ECh. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.1 - Prob. 23ECh. 3.1 - Prob. 24ECh. 3.1 - Prob. 25ECh. 3.1 - Prob. 26ECh. 3.1 - Prob. 27ECh. 3.1 - Prob. 28ECh. 3.1 - Prob. 29ECh. 3.1 - Prob. 30ECh. 3.1 - Prob. 31ECh. 3.1 - Prob. 32ECh. 3.1 - Prob. 33ECh. 3.1 - Prob. 34ECh. 3.2 - Prob. 1ECh. 3.2 - Prob. 2ECh. 3.2 - Prob. 3ECh. 3.2 - Prob. 4ECh. 3.2 - Prob. 5ECh. 3.2 - Prob. 6ECh. 3.2 - Prob. 7ECh. 3.2 - Prob. 8ECh. 3.2 - Prob. 9ECh. 3.2 - Prob. 10ECh. 3.2 - Prob. 11ECh. 3.2 - Prob. 12ECh. 3.2 - Prob. 13ECh. 3.2 - Prob. 14ECh. 3.2 - Prob. 15ECh. 3.2 - Prob. 16ECh. 3.2 - Prob. 17ECh. 3.2 - Prob. 18ECh. 3.2 - Prob. 19ECh. 3.2 - Prob. 20ECh. 3.2 - Prob. 21ECh. 3.2 - Prob. 22ECh. 3.2 - Prob. 23ECh. 3.2 - Prob. 24ECh. 3.2 - Prob. 25ECh. 3.2 - Prob. 26ECh. 3.2 - Prob. 27ECh. 3.2 - Prob. 28ECh. 3.2 - Prob. 29ECh. 3.2 - Prob. 30ECh. 3.2 - Prob. 31ECh. 3.2 - Prob. 32ECh. 3.2 - Prob. 33ECh. 3.2 - Prob. 34ECh. 3.2 - Prob. 35ECh. 3.2 - Prob. 36ECh. 3.2 - Prob. 37ECh. 3.3 - Prob. 1ECh. 3.3 - Prob. 2ECh. 3.3 - Prob. 3ECh. 3.3 - Prob. 4ECh. 3.3 - Prob. 5ECh. 3.3 - Prob. 6ECh. 3.3 - Prob. 7ECh. 3.3 - Prob. 8ECh. 3.3 - Prob. 9ECh. 3.3 - Prob. 10ECh. 3.3 - Prob. 11ECh. 3.3 - Prob. 12ECh. 3.3 - Prob. 13ECh. 3.3 - Prob. 14ECh. 3.3 - Prob. 15ECh. 3.3 - Prob. 16ECh. 3.3 - Prob. 17ECh. 3.3 - Prob. 18ECh. 3.3 - Prob. 19ECh. 3.3 - Prob. 20ECh. 3.3 - Prob. 21ECh. 3.3 - Prob. 22ECh. 3.3 - Prob. 23ECh. 3.3 - Prob. 24ECh. 3.3 - Prob. 25ECh. 3.3 - Prob. 26ECh. 3.3 - Prob. 27ECh. 3.3 - Prob. 28ECh. 3.3 - Prob. 29ECh. 3.3 - Prob. 30ECh. 3.3 - Prob. 31ECh. 3.CR - Prob. 1CRCh. 3.CR - Prob. 2CRCh. 3.CR - Prob. 3CRCh. 3.CR - Prob. 4CRCh. 3.CR - Prob. 5CRCh. 3.CR - Prob. 6CRCh. 3.CR - Prob. 7CRCh. 3.CR - Prob. 8CRCh. 3.CR - Prob. 9CRCh. 3.CR - Prob. 10CRCh. 3.CR - Prob. 11CRCh. 3.CR - Prob. 12CRCh. 3.CR - Prob. 13CRCh. 3.CR - Prob. 14CRCh. 3.CR - Prob. 15CRCh. 3.PA - Prob. 1PCh. 3.PA - Prob. 2PCh. 3.PA - Prob. 3PCh. 3.PA - Prob. 4PCh. 3.PA - Prob. 5PCh. 3.PA - Prob. 6PCh. 3.PA - Prob. 7PCh. 3.PA - Prob. 8PCh. 3.PA - Prob. 9PCh. 3.PA - Prob. 10PCh. 3.PB - Prob. 1PCh. 3.PB - Prob. 2PCh. 3.PB - Prob. 3PCh. 3.PB - Prob. 4P
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