0. The placement test for a college has scores that are normally distributed with a mean of 450 and a standard deviation of 90. If the colleg

accepts only the top 1% of examinees, what is the cutoff score on the test for admission?

1 Click the icon to view the table of z-scores and percentiles.

The cutoff score is

1: z-Scores and Percentiles

-Score

<-4.0

-3.5

-3.0

-2.9

-2.8

-2.7

-2.6

-2.5

-2.4

-2.3

-2.2

-2.1

-2.0

-1.9

-1.8

-1.7

-1.6

-1.5

-1.4

z-Scores and Percentiles

Percentile t-Score Percentile z-Score Percentile z-Score

0.003

-1.0

15.87

1.1

-0.95

17.11

-0.90

18.41

-0.85

19.77

-0.80

21.19

-0.75

22.66

-0.70

24.20

-0.65

25.78

-0.60

27.43

-0.55

29.12

30.85

-0.50

-0.45

32.64

-0.40

34.46

-0.35

36.32

3.59 -0.30

38.21

4.46

-0.25

40.13

5.48

-0.20

42.07

6.68

44.04

8.08

46.02

48.01

50.00

0.02

0.13

0.19

0.26

0.35

0.47

0.62

0.82

1.07

1.39

1.79

2.28

2.87

-1.3

9.68

-1.2

11.51

-1.1 13.57

-0.15

-0.10

-0.05

0.0

0.0

ala

0.05

0.10

0.15

0.20

0.25

0.30

0.35

0.40

0.45

0.50

0.55

0.60

0.65

0.70

0.75

0.80

0.85

0.90

0.95

1.0

50.00

51.99

53.98

55.96

57.93

59.87

61.79

63.68

65.54

67.36

69.15

70.88

72.57

74.22

75.80

77.34

78.81

80.23

81.59

82.89

84.13

1.2

1.3

1.4

1.5

1.6

1.7

18

1.9

2.0

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

86.43

88.49

90.32

91.92

93.32

94.52

95.54

96.41

97.13

97.72

98.21

98.61

98.93

99.18

99.38

99.53

99.65

99.74

99.81

99.87

99.98

99.997