If 20 man-hours are needed to complete the 5th replication of a certain task and 11 man-hours are needed to complete the 10th replication, what is the learning-curve parameter for this task?

learning curve is 1.3218

Step-by-step explanation:

given data

man hour m1 = 20

replication r1 = 5th

man hour m2 = 11

replication r2  = 10th

to find out

learning curve parameter

solution

we find here first percentage reduction that is express as

percentage reduction = ( m1 - m2 )  / ( r1 + r2 )    1

put here value in equation 1

percentage reduction = ( m1 - m2 )  / ( r1 + r2)

percentage reduction = ( 20 - 11 ) / ( 5 + 10 )

percentage reduction = 9  / 15

percentage reduction = 0.6

so

learning curve will be

learning curve = - ln ( 1 - 0.6) / ln2

learning curve = 0.9162 / 0.6931

learning curve = 1.3218

the first dot plot best represents the data

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