Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Question
A normal distribution of heights of adult women from a certain region has a mean of
68.7
inches and a standard deviation of
3
inches. Give the standard score and approximate percentiles for a woman with each of the following heights.
 
a.
65.7
inches              b.
71.7
inches              c.
70.2
inches               d.
67.2
inches
 
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Click the icon to view the standard scores and percentiles for a normal distribution.
 
 
 
a. The standard score is
nothing
and the percentile is
nothing.
​(Type integers or​ decimals.)
Standard Scores and Percentiles
Standard Scores and Percentiles for a Normal Distribution
Z-score
Percentile
Z-score
Percentile
Z-score
Percentile
Z-score
Percentile
- 1.0
- 0.95
- 0.90
- 0.85
- 0.80
- 0.75
- 0.70
- 0.65
- 0.60
- 0.55
-3.5
0.02
15.87
0.0
50.00
1.1
86.43
- 3.0
- 2.9
- 2.8
- 2.7
- 2.6
- 2.5
- 2.4
- 2.3
- 2.2
0.13
17.11
0.05
51.99
1.2
88.49
0.19
18.41
0.10
53.98
1.3
90.32
0.26
19.77
0.15
55.96
1.4
91.92
0.35
21.19
0.20
57.93
1.5
93.32
0.47
22.66
0.25
59.87
1.6
94.52
0.62
24.20
0.30
61.79
1.7
95.54
0.82
25.78
0.35
63.68
1.8
96.41
1.07
27.43
0.40
65.54
1.9
97.13
1.39
29.12
0.45
67.36
2.0
97.72
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Transcribed Image Text:Standard Scores and Percentiles Standard Scores and Percentiles for a Normal Distribution Z-score Percentile Z-score Percentile Z-score Percentile Z-score Percentile - 1.0 - 0.95 - 0.90 - 0.85 - 0.80 - 0.75 - 0.70 - 0.65 - 0.60 - 0.55 -3.5 0.02 15.87 0.0 50.00 1.1 86.43 - 3.0 - 2.9 - 2.8 - 2.7 - 2.6 - 2.5 - 2.4 - 2.3 - 2.2 0.13 17.11 0.05 51.99 1.2 88.49 0.19 18.41 0.10 53.98 1.3 90.32 0.26 19.77 0.15 55.96 1.4 91.92 0.35 21.19 0.20 57.93 1.5 93.32 0.47 22.66 0.25 59.87 1.6 94.52 0.62 24.20 0.30 61.79 1.7 95.54 0.82 25.78 0.35 63.68 1.8 96.41 1.07 27.43 0.40 65.54 1.9 97.13 1.39 29.12 0.45 67.36 2.0 97.72
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