SOLUTION: The lifetime of a certain brand of battery is known to have a standard deviation of 16 hours. Suppose that a random sample of 90 batteries has a mean lifetime of 41.1 hours. Find a

Algebra ->  Probability-and-statistics -> SOLUTION: The lifetime of a certain brand of battery is known to have a standard deviation of 16 hours. Suppose that a random sample of 90 batteries has a mean lifetime of 41.1 hours. Find a      Log On


   



Question 565140: The lifetime of a certain brand of battery is known to have a standard deviation of 16 hours. Suppose that a random sample of 90 batteries has a mean lifetime of 41.1 hours. Find a 95% confidence interval for the true mean lifetime of all batteries of this brand.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The lifetime of a certain brand of battery is known to have a standard deviation of 16 hours. Suppose that a random sample of 90 batteries has a mean lifetime of 41.1 hours. Find a 95% confidence interval for the true mean lifetime of all batteries of this brand.
-------------
sample mean: 41.1
margin of error: 1.96*(16/sqrt(90)) = 3.3056
---------------------------------
CI: 41.1 - 3.3056 < u < 41.1 + 3/3056
=========================================
Cheers,
Stan H.
===============