Answer:
and
The null hypothesis is not rejected
Step-by-step explanation:
Given
Random sample of 50 commuter times
Solving (a): The null and alternate hypothesis
From the question, a previous census shows that:
and
This is the null hypothesis i.e.
Reading further, a new test was to show whether the average has decreased.
This is the alternate hypothesis, and it is represented as:
Solving (b) and (c): The test statistic (T).
This is calculated using:
In this case:
and
So:
Solving (c): Accept or reject null hypothesis
First calculate the degrees of freedom (df)
From the t distribution table,
At: ,
and
the t score is:
<em>So, the null hypothesis is not rejected</em>