During the 1973­74 hockey season, the Boston Bruins played 39 home games and scored 193 points, as shown below.
(a) Estimate the mean from the sample.
(b) Calculate the expected frequencies assuming a Poisson distribution. Show your calculations in a spread- sheet format.
(c) Carry out the chi-square test, combining end categories as needed to ensure that all expected frequencies are at least five. Show your degrees of freedom calculation.
(d) At α = .05, can you reject the hypothesis that goals per game follow a Poisson process? (Data are from Gary M. Mullett, "Simeon Poisson and the National Hockey League," The American Statistician 31, no. 1 [1977], p. 9.)

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Number of Goals Scored (per game) by Boston Bruins, 1973-74 Number of Goals 0 12 3 45 6 7 8 9 Frequency 0 1 2 5 9 10 5 2 3 11 39 Total