An experimenter is interested in the hypothesis testing

Chapter 8, Problem 8.2.8

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An experimenter is interested in the hypothesis testing problem H0 : =20.0 versus HA : =20.0 where is the average resilient modulus of a clay mixture. Suppose that a sample of n =10 resilient modulus measurements is obtained and that the experimenter wishes to use a value of =1.0 for the resilient modulus standard deviation. (a) Forwhatvaluesofthez-statisticdoestheexperimenter accept the null hypothesis with a size =0.10? (b) Forwhatvaluesofthez-statisticdoestheexperimenter reject the null hypothesis with a size =0.01? Suppose that the sample mean is x =19.50. (a) Is the null hypothesis accepted or rejected with =0.10? With =0.01? (b) Calculate the exact p-value.

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