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Confidence Interval for Population Mean

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Provide further clarification for this problems. I was given the answers, but having problem showing how to get the answer manually. Not to use Excel, but learning how to get to the answer manually.

If X(bar) = 50, S=15, and n= 16, and assuming that the population is normally distributed, construct a 99% confidence interval estimate of the population mean, u.

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The solution provides step-by-step method for the calculation of confidence interval for population mean. Formula for the calculation and interpretations of the results are also included.

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