SOLUTION: BIG Corporation produces just about everything but is currently interested in the lifetimes of its batteries, hoping to obtain its share of a market boosted by the popularity of po

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Question 179176: BIG Corporation produces just about everything but is currently interested in the lifetimes of its batteries, hoping to obtain its share of a market boosted by the popularity of portable CD and MP3 players. To investigate its new line of Ultra batteries, BIG randomly selects 1000 Ultra batteries and finds that they have a mean lifetime of 921 hours. Suppose that this mean applies to the population of all Ultra batteries. Complete the following statements about the distribution of lifetimes of all Ultra batteries.
a) According to Chebyshev's theorem, at least (56% 75%, 84%, 89% which one) of the lifetimes lie within 2 standard deviations of the mean, 921 hours.
b) Suppose the distribution was bell-shaped, If approximatly 99.7% of the lifetimes lie between 654 hours and 1188 hours, then the approximate value of the standard deviation for the distribution, according to the empiral rule is __



Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
89%
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6 sigma = (1188-654) = 534
sigma = 89
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cheers,
Stan H.