Suppose a technician claims that hermonthly repairsare less than50

units, on average. Several of hercoworkers do not believe her, so the technician decides to do a hypothesis test, at a10%

significance level, to persuade them. Sherecords data from16

previous months and works through the testing procedure:

• H
• 0
• :=50
• ;H
• a
• :<50
• x
• =41
• =6
• =0.1
• (significance level)
• The test statistic is
• The critical value isz
• 0.1
• =1.28
• .

Conclude whether to reject or not rejectH

0

, and interpret the results.