
Chapter 11
380
Solution: The seven steps of hypothesis testing can be performed as below:
Step 1: Set null and alternative hypotheses
The hypothesis for this test is as below:
H
0
: m
d
= 0
H
1
: m
d
≠ 0
Step 2: Determine the appropriate statistical test
The t formula to test the difference between the means of two related populations (matched
samples) will be the appropriate statistical test.
t
d
s
n
d
d
=
−
μ
with df = n – 1
Step 3: Set the level of signi cance
a has been speci ed as 0.10.
Step 4: Set the decision rule
Value of a is 0.10 and the degrees of freedom is 9. The tabular t value is t
0.05, 9
= ±1.833. The null
hypothesis will be rejected if the observed ...