Answer to Question #157338 in Statistics and Probability for izzah XV

Question

1. A job with a 90% learning curve required 20 hours for the initial unit. The eighth unit should require approximately how many hours?

T_N = T₁C

2. A job requires 20 hours for the initial unit and 12.8 hours for the fourth unit. What is the learning rate?

T_N = T₁C

3. A job with a 95% learning curve required 19 hours for the second unit. The first unit should require approximately how many hours?

T_N = T₁C

Answer 1

$T_1\times L^n=T_n,$ time required for the nth unit

where $T_1=$ unit time of the first unit

$L=$ learning curve raten

$n=$ number of times T is doubled

1.

Hours required for unit 8 $=20\times(0.9)^3=14.58$ hours.

2.

Hours required for unit 4 $=20\times(L)^2=12.8$ hours.

$L^2=0.64$

$L=0.8$

The learning rate is $80\%.$

3.

Hours required for unit 2 $=T_1\times(0.95)^1=19$ hours.

$T_1=\dfrac{19}{0.95}=20(hours)$

A job with a 95% learning curve required 20 hours for the initial unit.