Question

Consider the following dependent random samples
Observations     1    2        3   4         5    6
x-values            22.0    21.0     18.1    19.6    13.2    17.5
y-values            23.1    21.7     18.7    20.7    14.7    16.4

a) Determine the difference between each set of points, x_i - y_i

b) Do hypothesis testing to see if µ_d < 0 at the α = .05.

Answer 1

Number	Before	After	Difference
	22	23.1	-1.1	0.2025
	21	21.7	-0.7	0.0025
	18.1	18.7	-0.6	0.0025
	19.6	20.7	-1.1	0.2025
	13.2	14.7	-1.5	0.7225
	17.5	16.4	1.1	3.0625
Total	111.4	115.3	-3.9	4.195

To Test :-

H0 :-  

H1 :-  

Test Statistic :-





t = -1.7382

Test Criteria :-
Reject null hypothesis if


Result :- Fail to reject null hypothesis

There is insufficient evidence to support the claim that  µ_d < 0 at 5% level of significance.