Question: Refer to problem (5).  Using the formula on page 440 in our textbook, construct the 90% confidence interval for the difference in means \({{\mu }_{1}}-{{\mu }_{2}}\), where \({{\mu }_{1}}\) is the population mean salary for teachers in California and \({{\mu }_{2}}\) is the population mean salary for teachers in New York. Compare this confidence interval to your hypothesis test result in #5.   Interpret the results, and explain why you would fail to reject the null hypothesis if the confidence interval contained zero.

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