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According to a labor union contract, the mean income for all senior-level assembly-line workers in a...

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Statistics

  1. According to a labor union contract, the mean income forall senior-level assembly-line workers in a large company must be$520 per week. Women who work for the company think that menworkers are being paid more than the standard set in the laborcontract. A representative of a women’s group decides to test thisclaim about the mean income µ for men employees, using α = .05. Ina random sample of nine men workers, she finds that the sample meanincome is $610 per week and the sample standard deviation s is$90.

  1. State the null and alternative hypotheses insymbols.

  1. State the null and alternative hypotheses inwords.

  1. Is this a one-sided or a two-sided test? How do youknow? (4 points)

  1. Should you use a z-test or a t-test for this problem?Why?

  1. Find the critical value of the teststatistic.

  1. Calculate the value of the test statistic for thissample.

  1. Based on these results, can you reject the nullhypothesis or not?

  2. Write a sentence to explain your conclusion about theaverage weekly income of women workers compared to the laborcontract’s standard of $520 per week.

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