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5) Given two populations P1 and P2. The claim is that the mean of P1 is...

5) Given two populations P1 and P2. The claim is that the mean of P1 is less than the
mean of P2. You don’t believe in this claim and so you want to test it. From P1, you take
a random sample of size 50, and you find the sample mean and the sample standard
deviation are 24 and 2, respectively. From P2, you take a random sample of size 36,
and you find the sample mean and the sample standard deviation are 25 and 4,
respectively. Is there enough evidence to support the claim? Justify your answer
completely.

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