Question

QUESTION 10 10-12) A factory supervisor is concerned that the time takes workers to complete an important production task measured in seconds) is too erratic and adversely affects expected profits. The supervisor proceeds by randomly sampling 5 individuals per hour for a period of 10 hours. The sample mean and range for each hour are listed below. Hou X 1 18.4 30 2 16.9 27 3 14.0 25 4 21.2 25 5 21.0 24 6 33.0 23 7 19.3 18 8 15.8 14 9 20.0 12 10 140 11 Total: 193.8 209 Referring to the table, suppose the supervisor constructs an X chart to see if the process is in-control. What are the lower and upper control limits of this chart? 19.36 20.90 O 7.30, 31,42 12.92, 25.80 8.59, 32.13

Answer 1

Poly given that the data g * Here for we have n=5 andeviduals per hour Period we have given Values q Ź and R for period q 5 Endive decals per hour का lo hours to ho for *given Ex- 18.4 +16.9 +14.0 +21.2+ 21.0133.0 +19.3715,8 +20.0+14.0 N 10 193.6 10 (where = 10) mean Ex= 시 19.36 ñ = 1 - Ex= 19.36 ER- 30 +27+25+25+24+23 +18+144+12+1) R = 1/2 ER= 209 10 Ř=20.9 R = 20,9 Control limits for X limits for ž Chart one lowa linit M-A + AR Upper limit xt here N=5 N = 5 (subgroup Size) :ito - 0.577 lower control clonit X-A = 19.36-0.577 y 20.9 = 19.36-12.0593 Control = 7.3007 Upper limit - ŠTAR = 19.36 +0.577X20.9 = 19.36+ 12.0593 - 31.4193 7 chart are : lower and Opper Control linits of (7.3007 ,31.4193) option 'g' ļ correct "