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An economist with the Liquor, Hospitality and Miscellaneous Workers' Union collected data on the weekly salaries...

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Basic Math

An economist with the Liquor, Hospitality and MiscellaneousWorkers' Union collected data on the weekly salaries of workers inthe hospitality industry in Cairns and Townsville. The unionbelieved that the weekly salaries of employees in Cairns werehigher and they were mounting a case for the equalisation ofsalaries between the northern cities. The researcher took samplesof size 30 and 37 in Cairns and Townsville, respectively, and foundthat the average and standard deviation of the weekly salaries were$585.43 and $38.72 respectively in Townsville, and $616.19 and$29.13 in Cairns. Use Cairns minus Townsville.

1. Determine a point estimate for the value of the difference inaverage weekly salary between the two groups (in dollars to 2decimal places).

2. Calculate the standard error for the difference between themeans assuming that the workers' salaries in both locations arenormally distributed and have the same population variance (indollars to 2 decimal places).

3. Use Kaddstat to determine a 95% confidence interval for thedifference between the average weekly salaries in Cairns andTownsville.

a. lower limit

b. upper limit (in dollars to 2 decimal places)

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