The results of a certain medical test are normally distributed with a mean of 130 and a standard deviation of 18. (A score above 142 is considered unhealthy). Use the given table to find the percentage of people with readings below 139. Z-score 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 Percentile 53.98 57.93 61.79 65.54 69.15 72.57 75.80 78.81 81.59 84.13 Z-score 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 Percentile 86.43 88.49 90.32 91.92 93.32 94.52 95.54 96.41 97.13 97.72 Z-score 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 3.5 4.0 Percentile 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 139 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
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Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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The results of a certain medical test are normally distributed with a mean of 130 and a
standard deviation of 18. (A score above 142 is considered unhealthy). Use the given table to
find the percentage of people with readings below 139.
z-score
0.1
0.2
0.4
0.5
Percentile 53.98 57.93 61.79 65.54 69.15 72.57 75.80 78.81 81.59 84.13
0.3
0.6
0.7
0.8
0.9
1.0
Z-Score
1.1
1.4
1.5
Percentile 86.43 88.49 90.32 91.92 93.32 94.52 95.54 96.41 97.13 97.72
1.2
1.3
1.6
1.7
1.8
1.9
2.0
Z-Score
2.1
2.2
2.3
2.5
2.6
Percentile 98.21 98.61 98.93 99.18 99.38 99.53 99.65 99.74 99.81 99.87 99.98 99.997
2.4
2.7
2.8
2.9
3.0
3.5
4.0
The percentage of people with readings below 139 is %.
(Round the final answer to the nearest hundredth as needed. Round the z-score to the
nearest tenth as needed.)
Time Remaining: 01:41:34
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Transcribed Image Text:The results of a certain medical test are normally distributed with a mean of 130 and a standard deviation of 18. (A score above 142 is considered unhealthy). Use the given table to find the percentage of people with readings below 139. z-score 0.1 0.2 0.4 0.5 Percentile 53.98 57.93 61.79 65.54 69.15 72.57 75.80 78.81 81.59 84.13 0.3 0.6 0.7 0.8 0.9 1.0 Z-Score 1.1 1.4 1.5 Percentile 86.43 88.49 90.32 91.92 93.32 94.52 95.54 96.41 97.13 97.72 1.2 1.3 1.6 1.7 1.8 1.9 2.0 Z-Score 2.1 2.2 2.3 2.5 2.6 Percentile 98.21 98.61 98.93 99.18 99.38 99.53 99.65 99.74 99.81 99.87 99.98 99.997 2.4 2.7 2.8 2.9 3.0 3.5 4.0 The percentage of people with readings below 139 is %. (Round the final answer to the nearest hundredth as needed. Round the z-score to the nearest tenth as needed.) Time Remaining: 01:41:34 Next Ma esc F1 20 F2 F3 O00 F4 F5 2$ 4 5 W E R # 3
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