Solved: An experimenter is interested in the hypothesis

Chapter 8, Problem 8.2.9

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An experimenter is interested in the hypothesis testing problem H0 : 0.065 versus HA : >0.065 where is the average density of a chemical solution. Suppose that a sample of n =61 bottles of the chemical solution is obtained and their densities are measured. (a) Forwhatvaluesofthet-statisticdoestheexperimenter accept the null hypothesis with a size =0.10? (b) Forwhatvaluesofthet-statisticdoestheexperimenter reject the null hypothesis with a size =0.01? Suppose that the sample mean is x =0.0768 and the sample standard deviation is s =0.0231. (a) Is the null hypothesis accepted or rejected with =0.10? With =0.01? (b) Write down an expression for the p-value and evaluate it using a computer package.

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