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An engineer measured the Brinell hardness of 25 pieces of ductile iron that were subcritically annealed. The resulting data were: 170 167 174 179 179

  1. An engineer measured the Brinell hardness of 25 pieces of ductile iron that were subcritically annealed. The resulting data were:
170 167 174 179 179 187 179 183 179
156 163 156 187 156 167 156 174 170
183 179 174 179 170 159 187

The engineer hypothesized that the mean Brinell hardness ofall such ductile iron pieces is greater than 170.

  1. State the null and alternative hypothesis that best tests the hypothesis of interest. Be sure to pay attention to whether this should be a 1-tailed or a 2-tailed test.

  1. Carry out this test, and state whether you reject or fail to reject the null hypothesis. In computing the test statistic, be sure to indicate whether you are using "t" or "z". Use the precise critical value of the "t" or "z" you use, not an approximation.

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