Answer to Question #218113 in Statistics and Probability for Ash

Question

10 children, each one selected from 10 sets of identical twins was trained by a certain method A and the remaining 10 children were trained by method B. At the end of the year, following 1.Q score were obtained: 

Pair : 1 2 3 4 5 6 7 8 9 10

Method A: 124 118 127 120 135 .130 140 128 140 126

Method B:131 127 135 128 137 131 132 125 141 118 

Is this sufficient evidence to indicate a difference in the avenge 1.Q score of the two groups?

Answer 1

$H_0: \mu_1=\mu_2 \\ H_1: \mu_1≠\mu_2$

By using Excel

Since $P_{cal}=0.424 > P = 0.05$

Accept H₀.

There is NOT enough evidence to indicate a difference in the avenge 1.Q score of the two groups (5% level of significance).