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A sample of 16 from a population produced a mean of 86.9 and a standard deviation of 14.3.A sample of 18 from another population produced a mean of 75.4 and a standard deviation of 15.9.Assume that the two populations are normally distributed and the standard deviations of the two populations are equal.
The null hypothesis is that the two population means are equal,while the alternative hypothesis is that the mean of the first population is greater than the mean of the second population.The significance level is 1%.
-Derive the corresponding 99% confidence interval for the difference between the means of these two populations,rounded to three decimal places.
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