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Complete Question

You construct a 95% confidence interval for a population mean using a random sample. The confidence interval is

24.9<μ<31.5  . Is the probability that  μ  is in this interval 0.95? Explain.

Answer:

Generally the probability that the true mean will be within this confidence interval is not 0.95. What this confidence interval tell us is that there is a 95% confidence that the true mean of this population lies within this interval.  

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