The standard deviation for a certain professor's commute time is believed to be 45 seconds. The professor takes a random sample of 25 days. These days have an average commute time of 13.4 minutes and...

The standard deviation for a certain professor's commute time is believed to be 45 seconds.  The professor takes a random sample of 25 days.  These days have an average commute time of 13.4 minutes and a standard deviation of 54 seconds.  Assume the commute times are normally distributed.  At the .1 significance level, conduct a full and appropriate hypothesis test for the professor.

Calculate the value of the test statistic.

What is the corresponding P-value for the test statistic?