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

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
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
 
LOADING...
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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education