10.30 A random sample of size n1 = 25, taken from a normal population with a standard deviation 01 = 5.2, has a mean F1 = 81. A second random sample of size n2 = 36, taken from a different normal population with a standard deviation o2 = 3.4, has a mean 72 = 76. Test the hypothesis that u1 = µ2 against the alterna- tive, µi # µ2. Quote a P-value in your conclusion.

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A: We will solve this by factorization.

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A: Solution of the problem as follows

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