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Suppose the statistician ignored the fact that the data were in the form of matched pairs, but instead treated them as two independent samples, one involving the standard fuel and the other involving Petrocoal. Would Petrocoal pass the test? What is the reason for the difference in results? Do the data satisfy the assumptions required for the two-sample t-test to be valid in this case?

Suppose the statistician ignored the fact that the data were in the form of matched pairs, but instead treated them as two independent samples, one involving the standard fuel and the other involving Petrocoal. Would Petrocoal pass the test? What is the reason for the difference in results? Do the data satisfy the assumptions required for the two-sample t-test to be valid in this case?

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