pls show work with correct answer choice
Question # 2 (3.5 Marks) Measurements on tolerances of a manufactured item refer to six bimonthly data, i- 1, 2, ..., 6 of random values (RVS) with corresponding frequency of occurrence (n). Relevant quality control assessments are done at independent locations, Site X and Site Y and pertinent details are listed below. (The percentage tolerance values (Tx and Ty) shown are off-sets with respect to zero value) i-2 i=5 1-6 i=7 i=8 Measurement of percentage i tolerances (T%) 1 i= 3 4 SITE Tx% -7.10.5 640 520 6.4 770 8.7 980 9.5 820 4.4 1500 7.8 230 6 920 3.5 SITE Ty% 10.0 -12.0 20 28 19 15 7 n 150 250 650 480 350 100 330 280 Hint: RV refers to: (Percentage tolerance of measurements (T) *n/100) - Actual number of tolerance measurements performed Determine the following: (i) Expected average and variance of the RV in each site, [E[x], V(x); Ely), V(y)] (ii) Inter-quartile ranges (IQRs) of the RVs at X and Y. (iii)Average performance of the RVs at X and Y expressed in terms of their approximate GM values (iv)Off-sets of expected mean with respect to median in each case: Median E[) (v) Skewness of central tendency of the RV in terms of relevant Pearson coefficient Multiple-choice Answers: Choose the Correct Result 1 1 (48.8.1488); (48. (63,4106) 34.5) 2 (52.8.1688): (45. (60, 5106) 24.5) 3 (38.8.1298): (38. (65, 3106) 24.5) 11 iv (21.6. (3.2 - 51.9) -43.5) 0.25. +2.04) (31.6. (4.2, 71.9) -45.5) 0.35, +1.14) (11 6. (1.2 51.6) 0.15. 2.08) (61.6, (7.2 (- 71.91 23.5) 0.25 +2.03) (1116. 122. - 21.9) -13.5) 0.25 -3.5) + (33.5.488); (63.4100) (148 14.5) 5 (18.5.11881: (58. (60.-206) 445) Question # 2 (3.5 Marks) Measurements on tolerances of a manufactured item refer to six bimonthly data, i- 1, 2, ..., 6 of random values (RVS) with corresponding frequency of occurrence (n). Relevant quality control assessments are done at independent locations, Site X and Site Y and pertinent details are listed below. (The percentage tolerance values (Tx and Ty) shown are off-sets with respect to zero value) i-2 i=5 1-6 i=7 i=8 Measurement of percentage i tolerances (T%) 1 i= 3 4 SITE Tx% -7.10.5 640 520 6.4 770 8.7 980 9.5 820 4.4 1500 7.8 230 6 920 3.5 SITE Ty% 10.0 -12.0 20 28 19 15 7 n 150 250 650 480 350 100 330 280 Hint: RV refers to: (Percentage tolerance of measurements (T) *n/100) - Actual number of tolerance measurements performed Determine the following: (i) Expected average and variance of the RV in each site, [E[x], V(x); Ely), V(y)] (ii) Inter-quartile ranges (IQRs) of the RVs at X and Y. (iii)Average performance of the RVs at X and Y expressed in terms of their approximate GM values (iv)Off-sets of expected mean with respect to median in each case: Median E[) (v) Skewness of central tendency of the RV in terms of relevant Pearson coefficient Multiple-choice Answers: Choose the Correct Result 1 1 (48.8.1488); (48. (63,4106) 34.5) 2 (52.8.1688): (45. (60, 5106) 24.5) 3 (38.8.1298): (38. (65, 3106) 24.5) 11 iv (21.6. (3.2 - 51.9) -43.5) 0.25. +2.04) (31.6. (4.2, 71.9) -45.5) 0.35, +1.14) (11 6. (1.2 51.6) 0.15. 2.08) (61.6, (7.2 (- 71.91 23.5) 0.25 +2.03) (1116. 122. - 21.9) -13.5) 0.25 -3.5) + (33.5.488); (63.4100) (148 14.5) 5 (18.5.11881: (58. (60.-206) 445)
