Question

2. In a metallurgy lab, there are two different analytical tests that can be used to determine the impurity level in steel alloys. The engineer believe that Test 1 will capture more impurities in the specimen than Test 2. Eight specimens are tested using both procedures, and the results are shown in the following tabulation. Using 5% significance, investigate if the engineer's assumption if correct. Specimen Test 1 Test 2 1.9 1.7 1.6 1.5 1.5 1.3 2.0 1.8 2.1 1.3 1.7 1.6

Answer 1

solution Here Holy=0 ks Hillco from the given data n=8 a= -0.15, si = 0.334 -0.15 =-1.2703 Test statutec t = h = 0.334/50 d. f = n-1=8-1=7, p-value = 0.122 here P-value =0122 > 0.05 so fail to reject There is no evidence to to support the engineer believe. that test I will capture more empurities in the specimen than test 2.