he manager of computer operations of a large company wants to study computer usage of two departments within the company - the accounting department and the research department. A random sample of five jobs from the accounting department in the past week and six jobs from the research department in the past week is selected, and the processing time (in seconds) for each job is recorded. < ACC_RES >

Department Processing time (in seconds) Accounting 9 3 8 7 12 Research 4 13 10 9 9 6

Use a 0.05 level of significance.

a. Is there sufficient evidence that the mean processing time in the research department is significantly greater than 6 seconds? b. Is there sufficient evidence of a significant difference between the variances in the processing time of the two departments? c. Is there sufficient evidence of a significant difference between the mean processing time of the accounting department and the research department?

d. Determine the p-values in (a), (b) and (c) and interpret their meanings. e. Construct and interpret a 95% confidence interval estimate of the mean difference in the mean processing times between the accounting and research departments.