
Chapter 10
PB
Statistical Inference: Hypothesis Testing for Single Populations
355
Step 2: Determine the appropriate statistical test
Sample size is less than 30. Hence, the t-statistic is given as:
t
x
s
n
=
Step 3: Set the level of signi cance
The level of signi cance, that is,
α
is set as 0.05.
Step 4: Set the decision rule
For degrees of freedom 24 and for a two-tailed test, the tabular value of t is t
0.025, 24
= 2.064. So,
if the computed t value is outside the ±2.064 range, the null hypothesis is rejected. Otherwise, it
is accepted.
Step 5: Collect the sample data
Sample information is computed as below:
Sample standard deviation s = 7.0797
Sample ...