Ben Roethlisberger #7 The number of passes completed by Ben Roethlisberger, quarterb...

Ben Roethlisberger #7 The number of passes completed by Ben Roethlisberger, quarterback for the Pittsburgh Steelers, was recorded for each of the 12 regular season games in which he played during the fall of 2010 (www.ESPN.com):

a. A stem and leaf plot of the n = 12 observations is shown below:

Based on this plot, is it reasonable to assume that the underlying population is approximately normal, as required for the one-sample t-test? Explain.

b. Calculate the mean and standard deviation for Ben Roethlisberger’s per game pass completions.

c. Construct a 95% confidence interval to estimate the average pass completions per game for Ben Roethlisberger.