Alaints that she will norma

Theofanartain medical test are normally distributed with a mean of 120 and a standard deviation of 20. Convert the given resul

Use the accompanying table of z-scores and percentiles to find the percentage of data items in a normal distribution that lie a. below and

b. above a z-score of 2.0.

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

a. The percentage of data items that lie below the z-score is

(Round to two decimal places as needed.)

b. The percentage of data items that lie above the z-score is

(Round to two decimal places as needed.)

1: z-Scores and Percentiles

z-Score

-4.0

-3.5

-3.0

-2.9

-2.8

-2.7

-2.6

-2.5

-2.4

z-Scores and Percentiles

Percentile -Score Percentile

-1.0

0.003

15.87

-0.95

17.11

-0.90

18.41

-0.85

19.77

-0.80

-0.75

-0.70

-0.65

-0.60

-0.55

-0.50

-0.45

T

0.02

0.13

0.19

0.26

0.35

0.47

0.62

0.82

-2.3

-2.2

-2.1

-2.0

-1.9

-1.8

-1.7

-1.6

-1.5

-1.4

-1.3

9.68

-1.2 11.51

-1.1 13.57

1.07

1.39

1.79

2.28

2.87

3.59

4.46

5.48

6.68

8.08

-0.40

-0.35

21.19

22.66

24.20

25.78

27.43

29.12

30.85

32.64

34.46

36.32

38.21

40.13

-0.30

-0.25

-0.20

42.07

-0.15

44.04

-0.10 46.02

-0.05

48.01

0.0

50.00

%.

8

z-Score Percentile z-Score Percentile

0.0

50.00

1.1

86.43

0.05

51.99

0.10

53.98

0.15

55.96

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

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

14

1.5

1.6

1.7

1.8

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

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