Use the following to answer questions :
A sample of 20 from a population produced a mean of 66.0 and a standard deviation of 10.0.A sample of 25 from another population produced a mean of 58.6 and a standard deviation of 13.0.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 two population means are different.The significance level is 5%.
-Derive the corresponding 95% confidence interval for the difference between the means of these two populations,rounded to three decimal places.

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The Answer of Use the following to answer questions :
A sample of 20 from a population produced a mean of 66.0 and a standard deviation of 10.0.A sample of 25 from another population produced a mean of 58.6 and a standard deviation of 13.0.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 two population means are different.The significance level is 5%.
-Derive the corresponding 95% confidence interval for the difference between the means of these two populations,rounded to three decimal places.

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