3. A semiconductor manufacturer produces devices used as central processing unit

Question

3. A semiconductor manufacturer produces devices used as central processing units in personal comput- ers. The speed of the devices (in megahertz) is important because it determines the price that the manufacturer can charge for the devices. A boxplot for the speeds of 116 randomly selected devices is given below Boxplot for Speed of Devices 640 660 680 700 720 740 760 speed in megahertz) a Using only the boxplot, estimate the probability that a randomly selected device from the sample has a speed of at least 700 megahertz. b Suppose the manufacturer wishes to determine the mumber of devices in the sample that speeds of less than 650 megahertz. Can you get this information from the boxplot? If so, how many devices are there? If not, what graphic might you use instead?

Explanation / Answer

(a) from the box-plot the left boundry of box is first quartile Q1=670, line inside the box is median and right line of the box is third quartile Q3=700

P(X<Q3)=P(X=700)=0.75,

so the sample has a speed of at least 700 megaherts=0.75

(b) we need the mean and standard deviation to find the required number of device. so normal probability plot or normal distribution graph might be needed.

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