2. A little league baseball coach feels that his team is higher than the national average in scoring runs.Nationally, the average number of runs scored by a little league team in a game is 5.2.He chooses six games at random; in those games, his team scored 5, 9, 4, 14, 11, and 8 runs.Determine if the coach's claim is correct.

a) Run the appropriate test using the significance level of 0.05

b) In this context, what is a Type I Error?

c) In this contest, what is a Type II Error?

d) Based on your conclusion in part (a), which type of error could the coach have made?