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Suppose a simple random sample of size n=37 is obtained from a population with mu=68 and...

Suppose a simple random sample of size n=37 is obtained from a population with mu=68 and sigma=17. ​(a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample​ mean? Assuming the normal model can be​ used, describe the sampling distribution x overbar. ​(b) Assuming the normal model can be​ used, determine ​P(xbar < 71.4​). ​(c) Assuming the normal model can be​ used, determine ​P(xbar >or =70.4​).

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