Question

In 2012, the mean number of runs scored by both teams in a Major League Baseball game was 8.62. Following are the numbers of runs scored in sample of 24 games in 2013. A test of whether the mean number of runs in 2013 is less than it was in 2012 will be conducted, using significance level 0.05, by answering the questions below..

2	10	3	9	15	10	7	4	3	7	5	9
5	9	15	15	4	5	13	6	14	11	6	12

a) What are the observational units?

b) What is the variable collected?

c) Summarize the data with the mean, SD, quartiles, the median, the min and max.

d) Produce a boxplot for the data. Comment on whether you think the data is normally distributed based on boxplot.

e) Write out the appropriate null and alternative hypotheses.

f) Find the test statistic, showing your work.

g) What is the p-value for the test?

h) Conduct the test to make your conclusion by clearly comparing the p-value to the significance level of the test.

i) State your conclusion in the context.

Answer 1