Assuming a population standard deviation of $ 33.90, and a 5% level of significance, test the hypothesis that the mean weekly earnings of a production worker have changed.

Advanced Engineering Mathematics
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ISBN:9780470458365
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According to the U.S Bureau of labor statistics, the average weekly earnings of a production worker in 1997 were $ 424.20. Suppose a labor researcher wants to test to determine whether this figure is still accurate today. The researcher randomly selects 54 production workers from across the united states and obtains a representative earnings statement for one week from each. The resulting sample average is $ 432.69. Assuming a population standard deviation of $ 33.90, and a 5% level of significance, test the hypothesis that the mean weekly earnings of a production worker have changed.

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