A woman insists that she will never marry a man as short as or shorter than she, knowing that only one man in 5000 falls into this category. Assuming a mean height of 70 inches for men with a standard deviation of 2.4 inches (and a normal distribution), approximately how tall is this woman? A Click the icon to view the z-scores and percentiles table. z-Scores and Percentiles Table This woman is inches tall. (Round to the nearest whole number as needed.) Scores and Percentiles z-Score Percentile z-Score Percentile z-Score Percentile 2-Score Percentile 4.0 0.003 -1.0 15.87 0.0 50.00 1.1 8643 -3.5 0.02 -0.95 17.11 0.05 51.99 1.2 88.49 -3.0 0.13 -0.90 18.41 0.10 53.98 1.3 90.32 0100

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A woman insists that she will never marry a man as short as or shorter than she, knowing that only one man in 5000 falls into this category. Assuming a mean height of 70 inches for men with a standard deviation of 2.4 inches (and a normal
distribution), approximately how tall is this woman?
Click the icon to view the z-scores and percentiles table.
O z-Scores and Percentiles Table
This woman is inches tall.
(Round to the nearest whole number as needed.)
z-Scores and Percentiles
z-Score Percentile z-Score Percentile z-Score Percentile z-Score Percentile
-4.0
0.003
-1.0
15.87
0.0
50.00
1.1
86.43
-3.5
0.02
-0.95
17.11
0.05
51.99
1.2
88.49
-3.0
0.13
-0.90
18.41
0.10
53.98
1.3
90.32
-2.9
0.19
-0.85
19.77
0.15
55.96
1.4
91.92
-2.8
0.26
-0.80
21.19
0.20
57.93
1.5
93.32
-2.7
0.35
-0.75
22.66
0.25
59.87
1.6
94.52
-2.6
0.47
-0.70
24.20
0.30
61.79
1.7
95.54
-2.5
0.62
-0.65
25.78
0.35
63.68
1.8
96.41
-2.4
0.82
-0.60
27.43
0.40
65.54
1.9
97.13
-2.3
1.07
-0.55
29.12
0.45
67.36
2.0
97.72
-2.2
1.39
-0.50
30.85
0.50
69.15
2.1
98.21
-2.1
1.79
-0.45
32.64
0.55
70.88
2.2
98.61
-2.0
2.28
-0.40
34.46
0.60
72.57
2.3
98.93
-1.9
2.87
-0.35
36.32
0.65
74.22
2.4
99.18
-1.8
3.59
-0.30
38.21
0.70
75.80
2.5
99.38
-1.7
4.46
-0.25
40.13
0.75
77,34
2.6
99.53
-1.6
5.48
-0.20
42.07
0.80
78.81
2.7
99.65
-15
6.68
-0.15
44.04
0.85
80.23
2.8
99.74
-1.4
8.08
-0.10
46.02
0.90
81.59
2.9
99.81
-1.3
9.68
-0.05
48.01
0.95
82.89
3.0
99.87
-1.2
11.51
0.0
50.00
1.0
84.13
3.5
99.98
-1.1
13.57
4.0
99.997
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Transcribed Image Text:A woman insists that she will never marry a man as short as or shorter than she, knowing that only one man in 5000 falls into this category. Assuming a mean height of 70 inches for men with a standard deviation of 2.4 inches (and a normal distribution), approximately how tall is this woman? Click the icon to view the z-scores and percentiles table. O z-Scores and Percentiles Table This woman is inches tall. (Round to the nearest whole number as needed.) z-Scores and Percentiles z-Score Percentile z-Score Percentile z-Score Percentile z-Score Percentile -4.0 0.003 -1.0 15.87 0.0 50.00 1.1 86.43 -3.5 0.02 -0.95 17.11 0.05 51.99 1.2 88.49 -3.0 0.13 -0.90 18.41 0.10 53.98 1.3 90.32 -2.9 0.19 -0.85 19.77 0.15 55.96 1.4 91.92 -2.8 0.26 -0.80 21.19 0.20 57.93 1.5 93.32 -2.7 0.35 -0.75 22.66 0.25 59.87 1.6 94.52 -2.6 0.47 -0.70 24.20 0.30 61.79 1.7 95.54 -2.5 0.62 -0.65 25.78 0.35 63.68 1.8 96.41 -2.4 0.82 -0.60 27.43 0.40 65.54 1.9 97.13 -2.3 1.07 -0.55 29.12 0.45 67.36 2.0 97.72 -2.2 1.39 -0.50 30.85 0.50 69.15 2.1 98.21 -2.1 1.79 -0.45 32.64 0.55 70.88 2.2 98.61 -2.0 2.28 -0.40 34.46 0.60 72.57 2.3 98.93 -1.9 2.87 -0.35 36.32 0.65 74.22 2.4 99.18 -1.8 3.59 -0.30 38.21 0.70 75.80 2.5 99.38 -1.7 4.46 -0.25 40.13 0.75 77,34 2.6 99.53 -1.6 5.48 -0.20 42.07 0.80 78.81 2.7 99.65 -15 6.68 -0.15 44.04 0.85 80.23 2.8 99.74 -1.4 8.08 -0.10 46.02 0.90 81.59 2.9 99.81 -1.3 9.68 -0.05 48.01 0.95 82.89 3.0 99.87 -1.2 11.51 0.0 50.00 1.0 84.13 3.5 99.98 -1.1 13.57 4.0 99.997 Enter your answer in the answer box and then click Check An ? All parts showing Check Answer Print Done
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