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To construct a confidence interval for the difference between two population means H use the formula shown below when both population standard deviations are known

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To construct a confidence interval for the difference between two population means H use the formula shown below when both population standard deviations are known and either both populations are normally distributed or both n 30 and n 30 Also the samples must be randomly selected and independent 0 0 2 0 0 x x H1 H X X Zc n n n n The descriptive statistics for the annual salaries from a random sample of microbiologists from two regions are shown below Construct a 95 confidence interval for the difference between the mean annual salaries X 107 170 n 37 and 8620 x 85 740 n 43 and 8595 Zc Complete the 95 confidence interval for H below H1 H S Round to the nearest dollar as needed

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