SOLUTION: The lifetime of a certain brand of battery is known to have a standard deviation of 23 hours. Suppose that a random sample of 70 such batteries has a mean lifetime of 35.1 hours

Algebra ->  Probability-and-statistics -> SOLUTION: The lifetime of a certain brand of battery is known to have a standard deviation of 23 hours. Suppose that a random sample of 70 such batteries has a mean lifetime of 35.1 hours      Log On


   



Question 136541: The lifetime of a certain brand of battery is known to have a standard deviation of 23 hours. Suppose that a random sample of 70 such batteries has a mean lifetime of 35.1 hours. Based on this sample, 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 23 hours. Suppose that a random sample of 70 such batteries has a mean lifetime of 35.1 hours. Based on this sample, find a 95% confidence interval for the true mean lifetime of all batteries of this brand.
x-bar = 35.1
E = 1.96 = 5.38801...
-----------
95% CI:(35.1-5.38801 < u < 35.1+5.38801)
====================
Cheers,
Stan H.