Times for a surgical procedure are normally distributed. There are two methods.

Question

Times for a surgical procedure are normally distributed. There are two methods. Method A has a mean of 33 minutes and a standard deviation of 5 minutes, while method B has a mean of 37 minutes and a standard deviation of 2.5 minutes. (a) Which procedure is preferred if the procedure must be completed within 34 minutes? Method A Method B Either (b) Which procedure is preferred if the procedure must be completed within 43.0 minutes? Method A Method B Either (c) Which procedure is preferred if the procedure must be completed within 41 minutes? Method A Method B Either.

Explanation / Answer

a) z score for method A=(34-33)/5=0.2

z score for method B=(34-37)/2.5 =-1.2

as z score for method A is high, method A should be preffered

b)

z score for method A=(43-33)/5=2

z score for method B=(43-37)/2.5 =2.4

as z score for method B is high, method B should be preffered

c)

z score for method A=(41-33)/5=1.6

z score for method B=(41-37)/2.5 =1.6

as z score for method A and B are same either should be preffered

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