An experiment was carried out to compare the abilities of two different solvents to extract creosote impregnated in test logs. Each of eight logs was

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An experiment was carried out to compare the abilities of two different solvents to extract creosote impregnated in test logs. Each of eight logs was divided into two segments, and then one segment was randomly selected for application of the first solvent, with the other segment receiving the second solvent.

Let’s obtain a 95% CI for the true average difference in crushing strength between the epoxy-impregnated board and the other type of board.

From Appendix Table A.16, since the smaller sample size is 5 and the larger sample size is 6, for a confidence level of approximately 95%. The dij’s appear in Table 15.5. The five smallest are 4350, 4470, 4610, 4730, and 4830; and the five largest dij’s are (in descending order) 9790, 9530, 8740, 8480, and 8220. Thus the CI is (d . ij(5), dij(26)) 5 (4830, 8220)

dij’s [dij(1),

c, dij(5)]

c 5 26 Log 1 2 3 4 5 6 7 8 Solvent 1 3.92 3.79 3.70 4.08 3.87 3.95 3.55 3.76 Solvent 2 4.25 4.20 4.41 3.89 4.39 3.75 4.20 3.90 Calculate a CI using a confidence level of roughly 95% for the difference between the true average amount extracted using the first solvent and the true average amount extracted using the second solvent.