The average weekly earnings in the leisure and hospitality industry group for a recent year was $273.

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The average weekly earnings in the leisure and hospitality industry group for a recent year was $273. A random sample of 40 workers showed weekly average earnings of $285 with the population standard deviation equal to 58. At the 0.05 level of significance can it be concluded that the mean differs from $273? Find a 95% confidence interval for the weekly earnings and show that it supports the results of the hypothesis test.
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