The results of a certain medical test are normally distributed with a mean of 127 and a standard deviation of 19. (A score above 139 is considered unhealthy). Use the given table to find the percentage of people with readings below 136. 0.1 0.2 0.3 0.6 65.54 69.15 72.57 75.80 1.5 0.5 0.7 0.9 78.81 81.59 84.13 z-score 0.4 0.8 1.0 Percentile 53.98 57.93 61.79 1.3 1.2 88.49 90.32 1.7 z-score Percentile 1.1 1.4 91.92 2.4 1.6 1.8 1.9 2.0 86.43 93.32 94.52 95.54 96.41 97.13 97.72 2.1 2.2 2.7 2.9 3.5 4.0 2.5 2.6 98.93 99.18 99.38 99.53 99.65 99.74 Z-Score 2.3 2.8 3.0 Percentile 98.21 98.61 99.81 99.87 99.98 99.997 ... The percentage of people with readings below 136 is %. (Round the final answer to the nearest hundredth as needed. Round the z-score to the nearest tenth as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The results of a certain medical test are normally distributed with a mean of 127 and a standard deviation of 19. (A
score above 139 is considered unhealthy). Use the given table to find the percentage of people with readings below
136.
0.1
0.2
0.3
0.6
65.54 69.15 72.57 75.80
1.5
0.5
0.7
0.9
78.81 81.59 84.13
z-score
0.4
0.8
1.0
Percentile
53.98 57.93 61.79
1.3
1.2
88.49 90.32
1.7
z-score
Percentile
1.1
1.4
91.92
2.4
1.6
1.8
1.9
2.0
86.43
93.32
94.52
95.54
96.41
97.13 97.72
2.1
2.2
2.7
2.9
3.5
4.0
2.5
2.6
98.93 99.18 99.38 99.53 99.65 99.74
Z-Score
2.3
2.8
3.0
Percentile
98.21
98.61
99.81 99.87 99.98 99.997
...
The percentage of people with readings below 136 is%.
(Round the final answer to the nearest hundredth as needed. Round the z-score to the nearest tenth as needed.)
Transcribed Image Text:The results of a certain medical test are normally distributed with a mean of 127 and a standard deviation of 19. (A score above 139 is considered unhealthy). Use the given table to find the percentage of people with readings below 136. 0.1 0.2 0.3 0.6 65.54 69.15 72.57 75.80 1.5 0.5 0.7 0.9 78.81 81.59 84.13 z-score 0.4 0.8 1.0 Percentile 53.98 57.93 61.79 1.3 1.2 88.49 90.32 1.7 z-score Percentile 1.1 1.4 91.92 2.4 1.6 1.8 1.9 2.0 86.43 93.32 94.52 95.54 96.41 97.13 97.72 2.1 2.2 2.7 2.9 3.5 4.0 2.5 2.6 98.93 99.18 99.38 99.53 99.65 99.74 Z-Score 2.3 2.8 3.0 Percentile 98.21 98.61 99.81 99.87 99.98 99.997 ... The percentage of people with readings below 136 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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