The sample mean Y is a good point estimator of the population mean . It can also be used

Chapter 8, Problem 8.136

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The sample mean Y is a good point estimator of the population mean . It can also be used to predict a future value of Y independently selected from the population. Assume that you have a sample mean Y and variance S2 based on a random sample of n measurements from a normal population. Use Students t to form a pivotal quantity to find a prediction interval for some new value of Ysay, Ypto be observed in the future. [Hint: Start with the quantity Yp Y .] Notice the terminology: Parameters are estimated; values of random variables are predicted.

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