A company wants to find out the effect of a new app on their employees' performance, measured in terms of the amount of time it takes them to do a task. To do so, they timed 35 employees: 5 in group 1 with the old app and 8 in group 2 with the new app.

The results of the study are as follows:

group	group size	sample mean	sample standard deviation
1	5	14.3 minutes	1.4 minutes
2	8	12.6 minutes	2.3 minutes

The data from both samples appear to be approximately normally distributed.

a) Set up appropriate hypotheses for a two-sided test.

b) Calculate the p-value of the test.

c) Is there a significant difference between the two groups if = .05?