Reconsider the previous exercise. Answer parts (a) to (e) with regard to margin of victory rather than total number of goals. Data can be found in the file called Hockey2 on the textbook website.

Data from previous exercise

Feeling too lazy to take a simple random sample of games, one of the authors recorded data on all 44 NHL games played between Thursday, December 19, to Monday, December 23, 2013. Th e data are in the file called Hockey on the textbook website.

a. Examine and describe a graph of the distribution of total number of goals in the sample.
b. Based on this graph, do you think it’s valid to produce a theory-based 95% confidence interval based on these data? Explain.
c. Calculate the sample mean and sample standard deviation. Report these along with the appropriate symbols.

d. Determine a 95% confidence interval for the population mean number of goals scored in an NHL game.
e. Interpret what this confidence interval says.