Use your six step procedure in solving these problems. This part of the exam is

Question

Use your six step procedure in solving these problems. This part of the exam is worth 25 points on the second exam. Provide all EXCEL printouts and show your work. 1. The manager of computer operations of a large company wants to study computer usage of two departments within the company, the accounting and research departments. A random sample of 5 jobs from the accounting department in the past week and six jobs from the research department in the past week are selected, and the processing time in seconds for each job is recorded. Department Processing Time (in seconds) Accounting 9 3 8 7 12 Research 4 13 10 9 9 6 Use a .10 level of significance. a) Is there evidence of a difference between the variances in processing time of the two departments? b) Is there evidence of a difference in the mean processing time of the accounting department and the research department? c) Determine the p-values for parts a & b and interpret their meanings.

Explanation / Answer

a)

p-value = 0.4547935 > 0.10

we fail to reject the null hypothesis

b)

p-value = 0.72644 > 0.10

we fail to reject the null hypothesis

c)

in a) p-value = 0.4547935

in b) p-value = 0.72644

F-Test Two-Sample for Variances accounting research Mean 7.8 8.5 Variance 10.7 9.9 Observations 5 6 df 4 5 F 1.080808081 P(F<=f) one-tail 0.454793598 F Critical one-tail 3.520196246

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