Solved: An experimenter is interested in the hypothesis

Chapter 8, Problem 8.2.10

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An experimenter is interested in the hypothesis testing problem H0 : 420.0 versus HA : <420.0where is the average radiation level in a research laboratory. Suppose that a sample of n =29 radiation level measurements is obtained and that the experimenter wishes to use a value of =10.0 for the standard deviation of the radiation levels. (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 =415.7. (a) Is the null hypothesis accepted or rejected with =0.10? With =0.01? (b) Calculate the exact p-value.

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