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Points (15) 3. Two different analytical tests can be used to determine the impurity level in steel alloys. Eight specimens are tested using both procedures, and test results are shown in the following tabulation along with summary statistics. Specimen Test 1 Test 2 Difference 1 1.2 1.4 -0.2 N 1.3 1.7 -0.4 Summary 3 1.5 1.5 O Variable In Mean StDev Variance 4 1.4 13 0.1 Test 1 8 1.45 0.207 0.0429 5 1.7 2 -0.3 Test 2 8 1.6625 0.2774 0.077 6 1.8 2.1 -0.3 Difference 8 -0.2125 0.1727 0.0298 1.4 1.7 -0.3 00 1.3 16 -0.3 a. Do we have paired data? b. Is there evidence to support the claim that test 1 generates a mean difference 0.1 units less than test 2? (i) Write the null hypothesis (ii) Write the alternative hypothesis (iii) Use 95% one-sided confidence interval to test hypothesis (iv) Can we reject the null hypothesis at alpha = 0.05 level of significance? Explain (v) Write any assumptions required to develop confidence interval in part (iii) Answer3a: Answer "Yes" or "No" Answer3bi: Answer HO