In a certain study, women's heights are found to be approximately normally distributed with a mean of 62 inches and a standard deviation of 2.5 inches. a. What would be the z-score for a woman who is 5 feet tall? b. What percentage of women is she taller than? Click the icon to view a table of z-scores and percentiles. a. The z-score for the woman's height is (Round to one decimal place as needed.) b. She is taller than % of women. (Round to two decimal places as needed.) ***
In a certain study, women's heights are found to be approximately normally distributed with a mean of 62 inches and a standard deviation of 2.5 inches. a. What would be the z-score for a woman who is 5 feet tall? b. What percentage of women is she taller than? Click the icon to view a table of z-scores and percentiles. a. The z-score for the woman's height is (Round to one decimal place as needed.) b. She is taller than % of women. (Round to two decimal places as needed.) ***
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:In a certain study, women's heights are found to be approximately normally distributed with a mean of 62 inches and a
standard deviation of 2.5 inches.
a. What would be the z-score for a woman who is 5 feet tall?
b. What percentage of women is she taller than?
Click the icon to view a table of z-scores and percentiles.
a. The z-score for the woman's height is
(Round to one decimal place as needed.)
b. She is taller than % of women.
(Round to two decimal places as needed.)
Transcribed Image Text:Z-score Percentile
- 4.0
0.003
-3.5
- 3.0
0.02
0.13
0.19
0.26
0.35
0.47
0.62
0.82
1.07
-2.8
-2.7
-2.6
-2.5
-24
-2.3
-2.2
1.39
-2.1 1.79
-2.0
2.28
Table of z-scores and Percentiles
z-score Percentile
-1.00
15.87
-0.95
17.11
-0.90
18.41
-0.85
19.77
-0.80
21.19
22.66
24.20
-0.75
-0.70
- 0.65
-0.55
-0.50
-0.45
-0.40
25.78
27.43
29.12
30.85
32.64
34.46
z-score Percentile z-score Percentile
0.00
50.00
1.1
86.43
0.05
51.99
88.49
0.10
53.98
90.32
0.15
55.96
0.20
57.93
0.25
59.87
0.30
61.79
0.35
63.68
0.40
65.54
0.45
67.36
0.50
69.15
0.55
70.88
0.60 72.57
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2.0
2.1
2.2
NN
2.3
91.92
93.32
94.52
95.54
96.41
97.13
97.72
98.21
98.61
98.93
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