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Answer to Question #44303 in Statistics and Probability for Tom

Question #44303
For the confidence interval below, what is the sample mean, ?

Expert's answer
Value of test statistics will be the average of both endpoints of this confidence interval. If you already know the population mean, there is no need for a confidence interval. When you compute a confidence interval on the mean, you compute the mean of a sample in order to estimate the mean of population. The 95% confidence interval for the mean will contain the population mean 95% of the time.  We must assume that all the values were independently and randomly sampled from a population whose values are distributed according to a Gaussian distribution. 

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