The scores on the verbal section of a certain graduate school entrance exam have a mean of 151 and a standard deviation of 8.8. Scores on the quantitative section of the exam have a mean of 155 and a standard deviation of 9.1. Assume the scores are normally distribute Suppose a graduate school requires that applicants score at or above the 80th percentile on both exams. What verbal and quantitative scores are required? A Click the icon to view the table of standard scores and percentiles. The verbal score required by the graduate school is (Round to the nearest whole number as needed.) i Standard scores and percentiles The quantitative score required by the graduate school is (Round to the nearest whole number as needed.) Standard Scores and Percentiles Percentile Z-score Percentile z-score Percentile Z-score Percentile Z-score -3.5 00.02 -1.00 15.87 0.00 50.00 1.1 86.43 -3.0 00.13 -0.95 17.11 0.05 51.99 1.2 88.49 -2.9 00.19 -0.90 18.41 0.10 53.98 1.3 90.32 -2.8 00.26 -0.85 19.77 0.15 55.96 1.4 91.92 -2.7 00.35 -0.80 21:19 0.20 57.93 1.5 93.32 - 2.6 00.47 -0.75 22.66 0.25 59.87 1.6 94.52 -2.5 00.62 -0.70 24.20 0,30 61.79 1.7 95.54 -2.4 00.82 -0.65 25.78 0.35 63.68 1.8 96.41 -2.3 01.07 -0.60 27.43 0.40 65.54 1.9 97.13 - 2.2 01.39 -0.55 29.12 0.45 67.36 2.0 97.72 -2.1 01.79 -0.50 30.85 0.50 69.15 2.1 98.21 -2.0 02.28 -0.45 32.64 0.55 70,88 2.2 98.61 - 1.9 - 1.8 02.87 -0.40 34.46 0.60 72,57 2.3 98.93 03.59 -0.35 36.32 0.65 74.22 2.4 99.18 -1.7 04.46 -0.30 38.21 0.70 75.80 2.5 99.38 - 1.6 05.48 -0.25 40.13 0.75 77,34 2.6 99.53 - 1.5 06.68 -0.20 42.07 0.80 78.81 2.7 99.65 -1.4 08.08 -0.15 44.04 0.85 80.23 2.8 99.74 99.81 99.87 -1.3 09.68 -0.10 46.02 0.90 81.59 2.9 - 1.2 11.51 -0.05 48.01 0.95 82.89 3.0 - 1.1 13.57 -0.00 50.00 1.00 84.13 3.5 99.98 Print Done

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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The scores on the verbal section of a certain graduate school entrance exam have a mean of 151 and a standard deviation of 8.8. Scores on the quantitative section of the exam have a mean of 155 and a standard deviation of 9.1. Assume the scores are normally distributed.
Suppose a graduate school requires that applicants score at or above the 80th percentile on both exams. What verbal and quantitative scores are required?
Click the icon to view the table of standard scores and percentiles.
The verbal score required by the graduate school is
(Round to the nearest whole number as needed.)
Standard scores and percentiles
The quantitative score required by the graduate school is
(Round to the nearest whole number as needed.)
Standard Scores and Percentiles
Z-Score
Percentile
Z-Score
Percentile
Z-score
Percentile
Z-Score
Percentile
86.43
- 3.5
- 3.0
- 2.9
- 1.00
- 0.95
– 0.90
- 0.85
00.02
15.87
0.00
50.00
1.1
00.13
17.11
0.05
51.99
1.2
88.49
00.19
18.41
0.10
53.98
1.3
90.32
- 2.8
00.26
19.77
0.15
55.96
1.4
91.92
- 2.7
93.32
- 0.80
- 0.75
00.35
21:19
0.20
57.93
1.5
- 2.6
00.47
22.66
0.25
59.87
1.6
94.52
- 2.5
00.62
-0.70
24.20
0.30
61.79
1.7
95.54
- 2.4
00.82
- 0.65
25.78.
0.35
63.68
1.8
96.41
- 2.3
01.07
- 0.60
27.43
0.40
65.54
1.9
97.13
- 2.2
01.39
- 0.55
29.12
0.45
67.36
2.0
97.72
- 2.1
- 0.50
- 0.45
- 0.40
- 0.35
01.79
30.85
0.50
69.15
2.1
98.21
- 2.0
02.28
32.64
0.55
70.88
2.2
98.61
- 1.9
- 1.8
02.87
34.46
0.60
72.57
2.3
98.93
03.59
36.32
0.65
74.22
2.4
99.18
- 1.7
- 0.30
- 0.25
- 0.20
- 0.15
04.46
38.21
0.70
75.80
2.5
99.38
- 1.6
05.48
40.13
0.75
77.34
2.6
99.53
- 1.5
06.68
42.07
0.80
78.81
2.7
99.65
- 1.4
08.08
44.04
0.85
80.23
2.8
99.74
- 1.3
- 1.2
09.68
-0.10
46.02
0.90
81.59
2.9
99.81
11.51
- 0.05
48.01
0.95
82.89
3.0
99.87
- 1.1
13.57
- 0.00
50.00
1.00
84.13
3.5
99.98
Print
Done
Transcribed Image Text:The scores on the verbal section of a certain graduate school entrance exam have a mean of 151 and a standard deviation of 8.8. Scores on the quantitative section of the exam have a mean of 155 and a standard deviation of 9.1. Assume the scores are normally distributed. Suppose a graduate school requires that applicants score at or above the 80th percentile on both exams. What verbal and quantitative scores are required? Click the icon to view the table of standard scores and percentiles. The verbal score required by the graduate school is (Round to the nearest whole number as needed.) Standard scores and percentiles The quantitative score required by the graduate school is (Round to the nearest whole number as needed.) Standard Scores and Percentiles Z-Score Percentile Z-Score Percentile Z-score Percentile Z-Score Percentile 86.43 - 3.5 - 3.0 - 2.9 - 1.00 - 0.95 – 0.90 - 0.85 00.02 15.87 0.00 50.00 1.1 00.13 17.11 0.05 51.99 1.2 88.49 00.19 18.41 0.10 53.98 1.3 90.32 - 2.8 00.26 19.77 0.15 55.96 1.4 91.92 - 2.7 93.32 - 0.80 - 0.75 00.35 21:19 0.20 57.93 1.5 - 2.6 00.47 22.66 0.25 59.87 1.6 94.52 - 2.5 00.62 -0.70 24.20 0.30 61.79 1.7 95.54 - 2.4 00.82 - 0.65 25.78. 0.35 63.68 1.8 96.41 - 2.3 01.07 - 0.60 27.43 0.40 65.54 1.9 97.13 - 2.2 01.39 - 0.55 29.12 0.45 67.36 2.0 97.72 - 2.1 - 0.50 - 0.45 - 0.40 - 0.35 01.79 30.85 0.50 69.15 2.1 98.21 - 2.0 02.28 32.64 0.55 70.88 2.2 98.61 - 1.9 - 1.8 02.87 34.46 0.60 72.57 2.3 98.93 03.59 36.32 0.65 74.22 2.4 99.18 - 1.7 - 0.30 - 0.25 - 0.20 - 0.15 04.46 38.21 0.70 75.80 2.5 99.38 - 1.6 05.48 40.13 0.75 77.34 2.6 99.53 - 1.5 06.68 42.07 0.80 78.81 2.7 99.65 - 1.4 08.08 44.04 0.85 80.23 2.8 99.74 - 1.3 - 1.2 09.68 -0.10 46.02 0.90 81.59 2.9 99.81 11.51 - 0.05 48.01 0.95 82.89 3.0 99.87 - 1.1 13.57 - 0.00 50.00 1.00 84.13 3.5 99.98 Print Done
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