1.NJ transit advertises that their trains from Princeton arrive on the average at most 7 minutes late to NYC. To determine whether this claim is true, we selected the following sample of 9 arrival times compared to the scheduled arrival time (X), For example if train arrived on time X=0, if train arrived 5 minutes late X=5, and if train arrived 10 minutes early than X= -10.

9,8,4,9,0,-2,5,3,10.

Do you agree with NJ transit's claim? Do a appropriate test with =0.05. State the appropriate assumption. Explain.