A systems specialist has studied the work-flow of clerks who do the same inventory work. Based on this study, she designed a new work-flow layout for the inventory system. To compare average production for the old and new methods, she took a random sample of six clerks. The average production rate (number of inventory items processed per shift) for each clerk was measured both before and after the new system was introduced. The results are shown below. Test the claim that the new system increases the mean number of items process per shift. Use ( = 0.05.

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Clerk Old 93 88 116 108 119 111 123 New 114 112 82 127 122 3. 2.