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The Distribution and Probability of Xbar

Let Xbar be the mean of a random sample of Size 5 from a normal distribution with &#956; = 0 and &#963;^2 = 125. Determine c so that Pr(Xbar < c)=0.90.

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Solution. As we know that Xbar will follows a normal distribution with mean mu=0 and the standard ...

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