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DarkendSinz30
Group Title
The mean lifetime of a certain tire is 30,000 miles and the standard deviation is 2500 miles. If we assume the mileages are normally distributed, approximately what percentage of all such tires will last between 22,500 and 37,500 miles?
 one year ago
 one year ago
DarkendSinz30 Group Title
The mean lifetime of a certain tire is 30,000 miles and the standard deviation is 2500 miles. If we assume the mileages are normally distributed, approximately what percentage of all such tires will last between 22,500 and 37,500 miles?
 one year ago
 one year ago

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DarkendSinz30 Group TitleBest ResponseYou've already chosen the best response.0
I need to use the empyrical rule
 one year ago

tkhunny Group TitleBest ResponseYou've already chosen the best response.1
(2250030000)/2500 (3750030000)/2500 What are these and what do these values tell us?
 one year ago

DarkendSinz30 Group TitleBest ResponseYou've already chosen the best response.0
Um they tell us the mileage of the tire?
 one year ago

DarkendSinz30 Group TitleBest ResponseYou've already chosen the best response.0
or they tell us the dev
 one year ago

tkhunny Group TitleBest ResponseYou've already chosen the best response.1
zscores, standard deviations. What are the values? Do the calculations
 one year ago

DarkendSinz30 Group TitleBest ResponseYou've already chosen the best response.0
3 and 3
 one year ago

tkhunny Group TitleBest ResponseYou've already chosen the best response.1
That's it. And what does the Empirical Rule say about that  3 standard deviations each way?
 one year ago

DarkendSinz30 Group TitleBest ResponseYou've already chosen the best response.0
do we place the percentages?
 one year ago

DarkendSinz30 Group TitleBest ResponseYou've already chosen the best response.0
The empirical rule says that if you go 1 standard deviation out from the mean that you will capture 68 % of your data, Go out one more stan dev (thats 2 so far) and you will capture 95% of your data, go out one more (thats 3 so far) and you will capture 99.7% of your data.
 one year ago

DarkendSinz30 Group TitleBest ResponseYou've already chosen the best response.0
So how do we place this in this problem could you give me an example?
 one year ago

tkhunny Group TitleBest ResponseYou've already chosen the best response.1
It's not a matter of placing or calculating. This is the point of the "Empirical Rule". You just read off the result. +/ 1 Standard Deviation is 68% +/ 2 Standard Deviations is 95% +/ 3 Standard Deviations is 99.7% In this case, pick the third one. Done.
 one year ago

DarkendSinz30 Group TitleBest ResponseYou've already chosen the best response.0
So the answer to my question is 99.7% right
 one year ago
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