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Test the null hypothesis 1-2 25 against the alternative

Independent samples of 400 observations are selected from two populations.

Sample 1 Sample 2

mean= 5275 mean= 5240

standard deviation= 150 standard deviation= 200

a) Use a 90% confidence interval to estimate (µ₁-µ₂)

b) Test the null hypothesis µ₁-µ₂= 25 against the alternative hypothesis µ₁-µ₂≠ 25 at the significance level a= .05

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