3. A semiconductor manufacturer produces devices used as central processing unit
ID: 2947571 • Letter: 3
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 i:s given below Boxplot for Speed of Devices 060 680 720 760 speed (n megshertz) 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 number of devices in the sample that have 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) Using the boxplot, we can see that 700 is the 3rd quartile of the sample. So, the probability that a randomly selected device from the sample has a speed of at least 700 megahertz is 0.25.
b) Now if the manufacturer wishes to determine the number of devices in the sample that has speeds less than 650 megahertz, we can't get the information from this boxplot. But if you draw an Ogive where cumulative frequencies (instead of cumulative relative frequencies) are used in the y-axis, from that we can have this answer.
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