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P Value for union nurse wage conclusion

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Question: Mary Jo Fitzpatrick is the Vice President for Nursing Services at St. Lukes Memorial Hospital. Recently she noticed in the job postings for nurses that those that are unionized seem to offer higher wages. She decided to investigate and gather the following sample information. Would it be reasonable for her to conclude that union nurses earn more? Use the .02 significance level. What is the p value?

Group.......Mean Wage Sample Standard Deviation......Sample Size
Union...........$20.75.............................$2.25............................40
Non union....$19.80.............................$1.90............................45

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Solution Summary

The p value for a 0.02 significance level is found. Whether it would be reasonable to raise nurses wages will be determined.

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