Question

A systems specialist has studied the workflow of clerks all doing the same inventory work. Based on this study, she designed a new workflow layout for the inventory system. To compare the average production for the old and new methods, a random sample of 6 clerks was used. The average production rate (number of inventory items processed) for each clerk was measures both before and after the new system was introduced. The results are shown below. Test the claim that the new system speeds up the work rate (use α = 0.05)

Clerk	1	2	3	4	5	6
B: Old method	110	100	97	85	117	101
A: New Method	118	112	115	83	125	109

1. Find L1, L2 and L3
2. State the null and alternate hypothesis.
3. Will you use a left tail, right tail or 2 tailed test?
4. Identify the sampling distribution to be used: standard normal, Student’s t or chi squared.
5. Find the value of the test statistic.
6. Find the P-Value.
7. Based on your answers, shall we reject or accept the null hypothesis?
8. Write the conclusion in the context of the problem.

Answer 1

Thanks!