Two statistics professors each believe that their own very large class is doing better than the other class. The profess

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Two statistics professors each believe that their own very largeclass is doing better than the other class. The professors decideto determine whose class is doing better by looking at scores froma recent. A random sample of 40 scores from Class A yields a meanscore of 88.5. Assume that the population standard deviation of thescores for Class A is 5.7. A random sample of 37 scores from ClassB yields a mean score of 85.3. Assume that the population standarddeviation of the scores for Class B is 6.2. Construct and interpreta 95% confidence interval for the true difference between the meanscores for Classes A and B.