An experimenter is interested in the hypothesis testing
Chapter 8, Problem 8.2.5(choose chapter or problem)
An experimenter is interested in the hypothesis testing problem H0 : =3.0 mm versus HA : =3.0 mm where is the average thickness of a set of glass sheets. Suppose that a sample of n =41 glass sheets is obtained and their thicknesses are measured.(a) For what values of the t-statistic does the experimenter accept the null hypothesis with a size =0.10? (b) For what values of the t-statistic does the experimenter reject the null hypothesis with a size =0.01? Suppose that the sample mean is x =3.04 mm and the sample standard deviation is s =0.124 mm. (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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