Page 1 of 8
1
ⅈ=1 =
ⅈ () , ⅈ ⅈ =
√
1
−1
[∑ⅈ=1 ⅈ2 ] − ̅ 2 =
1
[∑ ⅈ2 ] − ̅ 2 =
−1
ⅈ=1
Page 2 of 8
̅±
,−1
2
√
, ℎ = 150, ̅ = 15.232 = 3.783
15.232 ± 1.976
3.783
√150
: 14.621
: 15.842
0 : = 16 : < 16
=
̅ −
√
= 0.05
0.05,149 = −1.655
=
15.232−16
3.783
√150
0
0
< −1.655
= −2.487
(−2.487) < −1.655
Page 3 of 8
0
= −2.487 − ∞
0.006993
0.006993)
>
0
Page 4 of 8
0.3
0.25
P(1-P)
0.2
0.15
0.1
0.05
0
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
P
= 0.5, (1 − ) = 0.25 = 1 0, (1 − ) = 0.0
= √
(1 − )
(1−)
2
(1 − )
= 0.5
= √
2
(1−)
2 ∗(1−)
=
2
2
2 ∗ (1 − )
=
2
2
, ℎ 1 − = 0.95, = 0.05 ℎ = 0.025 = 1.96
2
= 0.5 = 1 − , = 0.025 = 1536.64, 1537
Page 5 of 8
≥ 5
(1 − ) ≥ 5
=
125
500 = 500 = 0.248, = 124 ℎⅈℎ ⅈ ≥ 5 (1 − ) = 376 ≥ 5 ± √
2
± √
2
(1−)
(1 − )
, ℎ 1 − = 0.95, ℎ = 0.025 , = 0.248, 1 − = 0.752
2
= 500
= 0.248 ± 0.0379
: 0.210
: 0.286
Page 6 of 8
(ℎ_
̅ ( ) = 653.3426, ( ⅈⅈ) = 18.7542
ⅈ = × ⅈ
1 = ( ≤ 620) = ( ≤
620 − 653.3426
) = ( ≤ −1.78) = 0.0375
18.7542
2 = (620 < ≤ 635) = (−1.78 < ≤ −0.98) = ( ≤ −0.98) −
( < −1.78) = 0.1635 – 0.0375 = 0.126
3 = (635 < ≤ 650) = (−0.98 < ≤ −0.18) = ( ≤ −0.18) −
( < −0.98) = 0.4286 − 0.1635 = 0.2651
4 = (650 < ≤ 665) = (−0.18 < ≤ 0.62) = ( ≤ 0.62) −
( < −0.18) = 0.7324 − 0.4286 = 0.3038
5 = (665 < ≤ 680) = (0.62 < ≤ 1.42) = ( ≤ 1.42) − ( < 0.62)
= 0.9222 − 0.7324 = 0.1898
6 = (680 < ≤ 695) = (1.42 < ≤ 2.22) = ( ≤ 2.22) − ( < 1.42)
Page 7 of 8
= 0.9868 − 0.9222 = 0.0646
7 = ( > 695) = ( > 2.22) = 1 – ( < 2.22) = 1 – 0.9868 = 0.0132
0 : ℎ ⅈⅈ − ℎ ⅈ ⅈⅈ : ℎ ⅈⅈ − ℎ ⅈ ⅈⅈ
0 ² = ∑ⅈ=1
ⅈ ≥ 5
ⅈ = 1,2, … , , ²
²
( − )²
−3
= − 3 = 4 = 0.05
0
2 =
(23−27.132)2
27.132
+
2
² > 0.05,4 = 9.49
(10−15.75)2
(9−5.544)2
5.544
15.75
+
(63−52.92)2
52.92
+
(118−111.342)2
111.342
+
(117−127.596)2
127.596
+
(80−79.716)2
79.716
+
= 8.08
2
2 = 8.08 < 9.49 = 0.05,4
0
Page 8 of 8 