TABLE 18-4
A factory supervisor is concerned that the time it 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. She also decides that lower and upper specification limit for the critical-to-quality variable should be 10 and 30 seconds,respectively.
-Referring to Table 18-4,suppose the supervisor constructs an R chart to see if the variability in collection times is in-control.What is the center line of this R chart?
A)20.00
B)20.56
C)20.40
D)24.00

Question

TABLE 18-4
A factory supervisor is concerned that the time it 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.  She also decides that lower and upper specification limit for the critical-to-quality variable should be 10 and 30 seconds,respectively.
-Referring to Table 18-4,suppose the supervisor constructs an R chart to see if the variability in collection times is in-control.What is the center line of this R chart?
A)20.00 
B)20.56 
C)20.40 
D)24.00

Quizplus · Accepted Answer

The center line of an R chart is calculated as the average of the ranges. In this case, we add up all the ranges and divide by the number of samples (50). (15+16+12+16+12+10+12+10+14+13)/50 = 120/50 = 2.40. Therefore, the center line of the R chart is 20.40 (the answer is C).

TABLE 18-4 A Factory Supervisor Is Concerned That the Time It Takes