9. A female insists that she will never marry a male as short as or shorter than she, knowing that only one male in 500 falls into this

category. Assuming a mean height of 69 inches for males with a standard deviation of 2.5 inches (and a normal distribution),

approximately how tall is this female?

29.

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

This female is

inches tall.

(Round to the nearest whole number as needed.).

1: z-Scores and Percentiles Table

r-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

-1.3

-1.2

-1.1

z-Scores and Percentiles

Percentile z-Score Percentile

-1.0

0.003

15.87

0.02

-0.95

0.13

-0.90

0.19

-0.85

0.26

0.35

0.47

0.62

0.82

1.07

1.39

1.79

2.28

2.87

3.59

4.46

5.48

6.68

8.08

9.68

11.51

13.57

-0.80

-0.75

-0.70

21.19

22.66

24.20

-0.65

25.78

-0.60

27.43

-0.55

29.12

-0.50 30.85

-0.45

32.64

34.46

36.32

38.21

40.13

42.07

44.04

46.02

48.01

50.00

-0.40

-0.35

17.11

18.41

19.77

-0.30

-0.25

-0.20

-0.15

-0.10

-0.05

0.0

z-Score Percentile z-Score Percentile

0.0

50.00

1.1

1.2

1.3

1.4

1.5

1.6

1.7

1.8

1.9

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

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

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

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