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(Solved) Refer to problem (5). Using the formula on page 440 in our textbook, construct the 90% confidence interval for the difference in means μ _1-μ

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.

California New York
\[\overline{{{x}_{1}}}=64510\] \[\overline{{{x}_{2}}}=62900\]
\[{{s}_{1}}=8200\] \[{{s}_{2}}=7800\]
\[{{n}_{1}}=45\] \[{{n}_{2}}=45\]
population mean \[{{\mu }_{1}}\] population mean \[{{\mu }_{2}}\]

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