Final answer:
The hypothesis test for the population mean in this case should be a two-tailed test using the t-distribution of the sampling distribution.
Step-by-step explanation:
The hypothesis test for the population mean in this case should be a two-tailed test using the t-distribution of the sampling distribution.
A two-tailed test is appropriate when the analyst wants to determine if the mean time has changed in either direction, either greater or smaller than the previous mean. The t-distribution is used when the population standard deviation is unknown and must be estimated from the sample standard deviation.