1. 2 points) A manager of a car engine assembly line wants to make sure that the actual horsepower (hp) of their V-8 engines are close to the 395 hp advertised on their company's website. Thus, the manager collected the following data on the actual horsepower of ten engines that just rolled off of the assembly line.

Engine	hp	Engine	hp
1	400.83	9	400.14
2	393.15	10	400.67
3	382.22
4	398.61
5	403.76
6	387.71
7	395.42
8	392.12

1. (1 point) Prior to the collection of these above data, the owner thought that the population mean horsepower was = 397 hp. Do these data suggest that the actual population mean temperature is greater than 397 hp? Please show all of your work, but feel free to compare your results with software. Assume alpha=0.05
2. (1 point) Describe how you would use the t-distribution to calculate the probability of a type II error at = 397 hp.