The annual earnings (in dollars) for 26 randomly selected translators are shown below

Chapter 6, Problem 14

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The annual earnings (in dollars) for 26 randomly selected translators are shown below. Assume the population is normally distributed. (Adapted from U.S. Bureau of Labor Statistics) 39,023 36,340 40,517 43,351 43,136 44,504 33,873 39,204 42,853 36,864 37,952 35,207 34,777 37,163 37,724 34,033 38,288 38,738 40,217 38,844 38,949 38,831 43,533 39,613 39,336 38,438 (a) Construct a 95% confidence interval for the population mean annual earnings for translators. (b) A researcher claims that the mean annual earnings for translators is $40,000. At a = 0.05, can you reject the researchers claim? Interpret the decision in the context of the original claim.

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