# Question

The following are the numbers of employees absent from two government agencies on 25 days: 24 and 29, 32 and 45, 36 and 36, 33 and 39, 41 and 48, 45 and 36, 33 and 41, 38 and 39, 46 and 40, 32 and 39, 37 and 30, 34 and 45, 41 and 42, 32 and 40, 30 and 33, 46 and 42, 38 and 50, 34 and 37, 45 and 39, 32 and 37, 44 and 32, 25 and 33, 45 and 48, 35 and 33, and 30 and 35. Use the sign test at the 0.05 level of significance to test the null hypothesis µ1 = µ2 ( that on the average equally many employees are absent from the two agencies) against the alternative hypothesis µ1 < µ2.

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