ne results of a certain medical test are normally distributed with a mean of 128 iven table to find the percentage of people with readings below 137.
ne results of a certain medical test are normally distributed with a mean of 128 iven table to find the percentage of people with readings below 137.
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,...
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Question
![The results of a certain medical test are normally distributed with a mean of 128 and a standard deviation of 17. (A score above 140 is considered unhealthy). Use the
given table to find the percentage of people with readings below 137.
0.1
53.98
11
86.43
2.1
98.21
Z-Score
Percentile
0.2
57.93
1.2
0.3
61.79
1.3
90.32
2.3
98.93
0.4
65.54
1.4
91.92
2.4
99.18
0.5
69.15
1.5
93.32
2.5
99.38
0.6
72.57
1.6
94.52
2.6
99.53
0.7
75.80
1.7
95.54
2.7
99.65
0.8
78.81
1.8
0.9
81.59
1.9
97.13
1.0
84.13
2.0
or
Z-Score
Percentile
88.49
96.41
97.72
2.2
2.8
99.74
Z-Score
2.9
3.0
3.5
4.0
Percentile
98.61
99.81
99.87
99.98
99.997
The percentage of people with readings below 137 is %.
(Round the final answer to the nearest hundredth as needed. Round the z-score to the nearest tenth as needed.)
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Transcribed Image Text:The results of a certain medical test are normally distributed with a mean of 128 and a standard deviation of 17. (A score above 140 is considered unhealthy). Use the
given table to find the percentage of people with readings below 137.
0.1
53.98
11
86.43
2.1
98.21
Z-Score
Percentile
0.2
57.93
1.2
0.3
61.79
1.3
90.32
2.3
98.93
0.4
65.54
1.4
91.92
2.4
99.18
0.5
69.15
1.5
93.32
2.5
99.38
0.6
72.57
1.6
94.52
2.6
99.53
0.7
75.80
1.7
95.54
2.7
99.65
0.8
78.81
1.8
0.9
81.59
1.9
97.13
1.0
84.13
2.0
or
Z-Score
Percentile
88.49
96.41
97.72
2.2
2.8
99.74
Z-Score
2.9
3.0
3.5
4.0
Percentile
98.61
99.81
99.87
99.98
99.997
The percentage of people with readings below 137 is %.
(Round the final answer to the nearest hundredth as needed. Round the z-score to the nearest tenth as needed.)
ary
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tions
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