A local manufacturer is concerned at the number of errors made by machinists in the production of kites for a multinational retail company. To reduce the number of errors being made the company decides to retrain all staff in a new set of procedures to minimize the problem. To assess whether the training worked a random sample of 10 machinists were selected, and the number of errors made before and after the training recorded as shown in Table 7.21.

Is there any evidence that the training has reduced the number of errors (assess at 5%)?

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Before After Before After Before After Table 7.21 1 49 22 11 29 23 21 33 37 m 2 34 23 12 45 29 22 38 37 w 30 32 13 32 37 23 35 24 4 46 24 14 44 22 24 35 23 Machinist 5 37 23 15 49 33 25 47 23 6 28 21 16 28 27 26 47 37 7 48 24 17 44 35 27 48 38 8 40 29 18 39 32 28 35 30 9 42 27 19 47 35 29 41 29 10 45 27 20 41 24 30 35 31