Given information
Step-by-step explanation
We are given to use a left-tailed test. That’s why the alternative hypothesis has sign. Reject the null hypothesis if .
It is given that,
inches, inches and
The following formula is used:
The null hypothesis states that the mean commute time in Austin, TXis greater than or equal tothe mean commute time for the largest US cities, minutes.
In symbols:
The alternative hypothesis states that mean commute time in the Austin, TXis less than the mean commute time for the largest US cities, minutes.
In symbols:
Now, the goal is to calculate the degree of freedom:
By using excel function the value is:
Now, the decision about the null hypothesis is made as follows:
Since the null hypothesis is rejected, we can conclude that the mean commute time in Austin, TXis less than the mean commute time for the largest US cities, minutes.