The placement test for a college has scores that are normally distributed with a mean of 400 and a standard deviation of 80. If the college accepts only the to 14% of examinees, what is the cutoff score on the test for admission? 1.7 95.54 2.8 99.74 1.0 1.1 1.3 1.4 1.5 1.8 1.6 94.52 2.7 z-score 1.2 1.9 2.0 Percentile z-score Percentile 84.13 2.1 86.43 88.49 90.32 2.4 91.92 93.32 2.6 96.41 97.13 97.72 2.2 2.3 2.5 2.9 3.0 3.5 98.21 98.61 98.93 99.18 99.38 99.53 99.65 99.81 99.87 99.98 The cutoff score is

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The placement test for a college has scores that are normally distributed with a mean of 400 and a standard deviation of 80. If the college accepts only the top
14% of examinees, what is the cutoff score on the test for admission?
1.0
1.3
z-score
Percentile
1.1
1.2
1.4
1.5
1.6
1.7
1.8
1.9
2.0
84.13
86.43
88.49
90.32
91.92
93.32
94.52
95.54
96.41
97.13
97.72
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
3.0
3.5
z-score
Percentile
98.21
98.61
98.93
99.18
99.38
99.53
99.65
99.74
99.81
99.87
99.98
The cutoff score is
Transcribed Image Text:The placement test for a college has scores that are normally distributed with a mean of 400 and a standard deviation of 80. If the college accepts only the top 14% of examinees, what is the cutoff score on the test for admission? 1.0 1.3 z-score Percentile 1.1 1.2 1.4 1.5 1.6 1.7 1.8 1.9 2.0 84.13 86.43 88.49 90.32 91.92 93.32 94.52 95.54 96.41 97.13 97.72 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 3.5 z-score Percentile 98.21 98.61 98.93 99.18 99.38 99.53 99.65 99.74 99.81 99.87 99.98 The cutoff score is
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