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# Analysis of Baseball data.

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46. Refer to the Baseball 2002 data, which reports information on the 30 Major League Baseball teams for 2002 season.

a. At the .10 significance level, is there a difference in the variation of the number of stolen bases among the teams that play their home games on natural grass versus on artificial turf?

b. Create a variable that classifies team?s total attendance into three groups: less than 2.0 (million). 2.0 up to 3.0 and 3.0 or more. At the .05 significance level, is there a difference in the mean number of games won among the three groups? Use the .01 significance level.

c. Using the same attendance variable developed in part(b), is there a difference in the mean team batting average? Use the .01 significance level.

d. Using the same attendance variable developed in part (b), is there a difference in the mean salary of the three groups? Use the .01 significance level.

47. Refer to the wage data, which reports information on annual wages for a sample of 100 workers. Also included are variables relating to industry, years of education, and gender for each worker.

a. Conduct a test of hypothesis to determine if there is a difference in the mean annual wages for workers in the three industries. If there is a difference in the means, which pair or pairs of means differ? Use the .05 significance level.

b. Conduct a test of hypothesis to determine if there is a difference in the mean annual wages for workers in the six different occupations. If there is a difference in the means, which pair or pairs of means differ? Use the .05 significance level.