Question: 6) 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.