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45 people are randomly selected and the accuracy of their wristwatches is checked, with positive errors...

45 people are randomly selected and the accuracy of their wristwatches is checked, with positive errors representing watches that are ahead of the correct time and negative errors representing watches that are behind the correct time. The 45 values have a mean of 96sec. Assume a population standard deviation of 232sec. Use a 0.02 significance level to test the claim that the population of all watches has a mean of 0sec (use a two-sided alternative).

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