Question

Data sets A and B are dependent. Find d.

A: 3.1, 4.1, 6.0, 3.0, 3.1

B: 5.5, 4.4, 4.3, 4.2, 5.6

If we do not reject the null hypothesis when the null hypothesis is in error, then we have made a

Answer 1

Solution:

If we do not reject the null hypothesis when the null hypothesis is in error, then we have made a type II error.

We know that the type II error occurred when we do not reject the null hypothesis when it is not true.

We are given two dependent samples. We have to find d̄ for these samples. The calculation table is given as below:

We take difference as A minus B.

No.	A	B	Di
1	3.1	5.5	-2.4
2	4.1	4.4	-0.3
3	6	4.3	1.7
4	3	4.2	-1.2
5	3.1	5.6	-2.5
Total			-4.7

d̄ = ∑Di/n = -4.7/5 = -0.94

d̄ = -0.94