Page 76 - Basic Statistics

71

Table 4.2

Numb. Direct Cooperative
2
2
X1 X2 X1 X2
[1,] 61 76 3721 5776
[2,] 65 78 4225 6084
[3,] 69 66 4761 4356
[4,] 72 70 5184 4900
[5,] 68 86 4624 7396
[6,] 64 77 4096 5929
[7,] 60 84 3600 7056
[8,] 67 78 4489 6084
[9,] 61 83 3721 6889
[10,] 61 74 3721 5476
[11,] 65 75 4225 5625
[12,] 68 85 4624 7225
[13,] 65 79 4225 6241
[14,] 64 69 4096 4761
[15,] 62 75 3844 5625
[16,] 60 78 3600 6084
[17,] 56 75 3136 5625
[18,] 68 71 4624 5041
[19,] 57 78 3249 6084
[20,] 68 82 4624 6724
[21,] 69 79 4761 6241
[22,] 61 73 3721 5329
[23,] 61 60 3721 3600
[24,] 61 84 3721 7056
[25,] 67 83 4489 6889
2
2
 X1 = 1,600  X2 = 1,918  X1 =102,802  X2 =148,096

n
 X i 2 X n − 2
2
Variances: S = i= 1
n − 1

−
25
)
S 1 2 = ( 102802 25 − − 25 (64) 2 = 16 . 75 S 2 2 = ( 148096 ) 25 − 1 (76.72) 2 = 39 . 46
1

a. The test requires a two-tailed test:

Hypotheses: H0 : μ = μ
1
2
H1 : μ  μ
2
1

~~* CHAPTER 4 TESTING HYPOTHESIS *~~