The following data represent times to travel from Brooklyn to Manhattan at 10 AM

Train Car

1 48 35

2 35 46

3 44 42

4 45 38

5 52 41

6 47 43

7 43 36

8 50 42

9 44 44

10 48 37

Is there a statistically significant difference between the speed of train travel

and car travel? Assume a two sided test with alpha at 5%

What are the purpose(s), use(s) of tests of hypothesis?