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A random sample of size 25 , taken from a Normal population with a standard deviation of 5.2 has a mean of 81. A second

A random sample of size 25 , taken from a Normal population with a standard deviation of 5.2 has a mean of 81. A second random sample of size 36 taken from a different Normal population with a standard deviation of 3.4 has a mean 76. Test the hypothesis that the population means are equal, versus the alternate hypothesis that the population means are not equal. Use a 5% significance level.

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