An article in Computers & Electrical Engineering ,“Parallel simulation of cellul

Question

An article in Computers & Electrical Engineering,“Parallel simulation of cellular neural networks”(1996, Vol. 22, pp. 61–84) considered the speed-up ofcellular neural networks (CNN) for a parallel general-purposecomputing architecture based on six transputers in different areas.The data follow:

(a) Construct a 99% two-sided confidence intervalon the mean speed-up. Round the answers to 3 decimal places.

? µ ?

(b) Construct a 99% lower confidence bound on themean speed-up. Round the answer to 3 decimal places.

? µ

3.775302 3.350679 4.217981 4.030324 4.639692 4.139665 4.395575 4.824257 4.268119 4.584193 4.930027 4.315973 4.600101

Explanation / Answer

n=13, xbar=4.313222, s=0.4328017(based on the data) (a) Given =0.01, t(0.005, df=n-1=12)= 3.05 (check student ttable) The 99% CI is xbar ± t*s/n --> 4.31322 ± 3.05*0.4328017/sqrt(13) --> ( 3.947, 4.679) (b)=0.01, t(0.01, df=12)=2.68 (check student t table) The 99% CI is 4.31322 - 2.68*0.4328017/sqrt(13) =3.992

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