Statement of a problem № m592


It was hypothesized that road construction workers do not engage in productive work 20 minutes on the average out of every hour. Some claimed the nonproductive time is greater than 20 minutes. An actual study was conducted at a construction site, using a stopwatch and other ways of checking the work habits. A random check of workers revealed the following unproductive times, in minutes, during a one-hour period (exclusive of regularly scheduled breaks): 10 25 17 20 28 30 18 23 18 Using the .05 significance level, is it reasonable to conclude the mean unproductive time is greater than 20 minutes? (a) The null and the alternate hypotheses, (b) The decision rule, and (c) The decision regarding the null hypothesis, (d) Then interpret the result.

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