Question 117729: Please answer this question for me.
Assume the following summary statistics, which describe the speed of a computer processor, are available from a sample of Intel Pentium IV chips manufactured at the company’s Arizona chip plant (values are in Megahertz):
Modal Speed: 3200
Median Speed: 3400
Mean Speed: 3600
S.D. Speed: 100
A. According to these statistics, how are the data distributed (i.e. left skew, normal, right skew)?
B. According to Chebyshev’s Theorem, what minimum proportion of processors have speeds between 3400 and 3800?
C. Assume Intel uses the mean speed as the accepted speed of their processors for advertising purposes. Given how the data are distributed, do you believe this could be misleading to P.C. buyers or not?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Modal Speed: 3200
Median Speed: 3400
Mean Speed: 3600
S.D. Speed: 100
A. According to these statistics, how are the data distributed (i.e. left skew, normal, right skew)?
If you place the data on a normal-like curve you will see it is skewed to the right.
B. According to Chebyshev’s Theorem, what minimum proportion of processors have speeds between 3400 and 3800?
Those numbers are 2 SD to the left and 2SD to the right of the mean.
Chebyshev says there is at least 95% of the data within 2 SD of the mean.
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C. Assume Intel uses the mean speed as the accepted speed of their processors for advertising purposes. Given how the data are distributed, do you believe this could be misleading to P.C. buyers or not?
I'll leave that to you.
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Cheers,
Stan h.
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