n15_statistics
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Height Weight Birthday - ME 360 Fall 2014
Coun t
16
14
12
10
8
6
4
2
0
60
62
64
66
68 70 72
Height [inch]
74
76
78
12
10
Count
8
6
4
2
0
120 130 140 150 160 170 180 190 200 210 220 230 240
Weight [lbf]
14
12
Count
10
8
6
4
2
0
3
6
9
12
15
18
21
Birthday of Month
24
27
30
n15_statistics
2 of 4
Rsquared = 0.5671
240
Weight [lbf]
220
200
180
160
140
120
63
68
73
Height [inch]
Rsquared = 0.0082
30
Birthday of Month
25
20
15
10
5
0
63
68
Height [inch]
73
n15_statistics
3 of 4
16
14
12
Coun t
10
8
6
4
2
0
60
62
64
66
68
70
72
Height [inch]
n samples of xi
mean
xo 
1 n
 xi
n i 1
standard deviation

1 n
x i  x o 2

n i 1
standardized distance from mean
n = 54
test
Z = 1.37
Z = 1.38
x  xo

 = 3.32 inch
x0 = 69.43
x = 74 inch
Z
Z=
74  69.43
= 1.3765
3.32
single tail p = 0.9147
single tail p = 0.9162
Z = 1.3765
single tail p = 0.9157
91.6% shorter
8.4% taller
49.5/54 shorter
4.5/59 taller
74
76
78
n15_statistics
Cumulative (Single Tail) Probabilities of the Normal Probability Distribution
(Area under the Normal Curve from   to Z)
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