The results of a certain medical test are normally distributed with a mean of 127 and a standard deviation of 12. (A score above 139 is considered unhealthy). Use the given table to find the percentage of people with readings below 136. z-score Percentile 0.4 65.54 0.6 0.9 1.0 0.2 57.93 0,3 0.5 0.1 53.98 1.1 86.43 2.1 0.7 75.80 1.7 95.54 2.7 0.8 78.81 1.8 61.79 69.15 1.5 72.57 81.59 84.13 1.6 1.2 88.49 2.2 1.3 1.4 2.0 z-score Percentile 1.9 97.13 90.32 91.92 93.32 94.52 96.41 97.72 2.3 2.4 2.5 z-score Percentile 2.6 99.53 2.8 2.9 3.0 99.87 3.5 99.98 4.0 98.21 98.61 98.93 99.18 99.38 99.65 99.74 99.81 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.)
The results of a certain medical test are normally distributed with a mean of 127 and a standard deviation of 12. (A score above 139 is considered unhealthy). Use the given table to find the percentage of people with readings below 136. z-score Percentile 0.4 65.54 0.6 0.9 1.0 0.2 57.93 0,3 0.5 0.1 53.98 1.1 86.43 2.1 0.7 75.80 1.7 95.54 2.7 0.8 78.81 1.8 61.79 69.15 1.5 72.57 81.59 84.13 1.6 1.2 88.49 2.2 1.3 1.4 2.0 z-score Percentile 1.9 97.13 90.32 91.92 93.32 94.52 96.41 97.72 2.3 2.4 2.5 z-score Percentile 2.6 99.53 2.8 2.9 3.0 99.87 3.5 99.98 4.0 98.21 98.61 98.93 99.18 99.38 99.65 99.74 99.81 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
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 3GP
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Transcribed Image Text:The results of a certain medical test are normally distributed with a mean of 127 and a standard deviation of 12. (A score above 139 is considered unhealthy). Use the
given table to find the percentage of people with readings below 136.
0.1
53.98
1.1
0.2
57.93
1.2
0.3
z-score
Percentile
0.4
0.5
0.6
0.7
0.8
0.9
1.0
61.79
65.54
69.15
72.57
75.80
78.81
81.59
84.13
1.7
1.3
90.32
1.4
1.5
1.6
1.8
1.9
97.13
2.0
z-score
Percentile
86.43
88.49
91.92
93.32
94.52
95.54
96.41
97.72
2.1
2.2
2.4
3.5
z-score
Percentile
2.3
2.5
2.6
2.7
2.8
2.9
3.0
4.0
98.21
98.61
98.93
99.18
99.38
99.53
99.65
99.74
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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