Let X equal the Brinell hardness measurement of ductile iron subcritically annealed
Chapter 8, Problem 8.1-3(choose chapter or problem)
Let X equal the Brinell hardness measurement of ductile iron subcritically annealed. Assume that the distribution of X is N(, 100). We shall test the null hypothesis H0: = 170 against the alternative hypothesis H1: > 170, using n = 25 observations of X. (a) Define the test statistic and a critical region that has a significance level of = 0.05. Sketch a figure showing this critical region. (b) A random sample of n = 25 observations of X yielded the following measurements: 170 167 174 179 179 156 163 156 187 156 183 179 174 179 170 156 187 179 183 174 187 167 159 170 179 Calculate the value of the test statistic and state your conclusion clearly. (c) Give the approximate p-value of this test
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