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A researcher had the objective to find whether there are more kids in City A than City B. The researcher found that of the 268

A researcher had the objective to find whether there are more kids in City A than City B. The researcher found that of the 268 parents from City A, the average parent has 5.43 kids, with standard deviation of 1.162. The researcher went to City B and found out that of the 1145 parents from City B, the average parent has 4.43 kids, with standard deviation of 1.015. Does the evidence suggest that City A have higher number of kids? Use an = 0.01 level of significance. Ensure to explain what the conclusion means in terms of the question's context (i.e., not just reject or fail to reject). Use both the classical approach and P-value methods and write down all formulas used. Hint: if the standard deviation is given, then the sample variance is indirectly given too (and, in general, vice-versa). Also, construct a 99% confidence interval.

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