SOLUTION: You wish to estimate µ, the average lifetime of a particular type of battery. You are planning to select n batteries of this type and to operate them continuously until they

Algebra ->  Probability-and-statistics -> SOLUTION: You wish to estimate µ, the average lifetime of a particular type of battery. You are planning to select n batteries of this type and to operate them continuously until they       Log On


   



Question 808112: You wish to estimate µ, the average
lifetime of a particular type of battery. You are
planning to select n batteries of this type and to
operate them continuously until they fail. You
have some feeling that the standard deviation of
the lifetimes should be around 20 hours, and you
wish your estimate of µ to be within 1 hour of
µ with 95% confidence. How many batteries
should you select?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
You are
planning to select n batteries of this type and to
operate them continuously until they fail. You
have some feeling that the standard deviation of
the lifetimes should be around 20 hours, and you
wish your estimate of µ to be within 1 hour of
µ with 95% confidence. How many batteries
should you select?
-----
n = [z*s/E]^2
----
n =[1.96*20/1]^2 = 39.2^2 = 1567 when rounded up
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Cheers,
Stan H.
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