Question: An article in Computers in Electrical Engineering (Parallel Simulation of Cellular Neural Networks, 1996, Vol. 22, pp. 6184) considered the speed-up of cellular neural networks

An article in Computers in Electrical Engineering

(“Parallel Simulation of Cellular Neural Networks,” 1996, Vol. 22, pp. 61–84) considered the speed-up of cellular neural networks (CNN) for a parallel general-purpose computing architecture. The data follow.

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

a) Is there sufficient evidence to reject the claim that the mean speed-up exceeds 4.0? Assume that 0.05.

(b) Do the data have an approximately normal distribution?
Provide a graphical display to support your answer.

(c) Find a 95% two-sided CI on the mean speed-up time.

(d) What sample size would be required to detect a true mean speed-up time of 4.75 if we want the power of the test to be at least 0.8? Use the sample standard deviation s computed in working part

(a) as an estimate of .

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

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