SOLUTION: a filling machine is designed to fill soda bottles with 16 ounces of soda. The distribution for the weight of the bottles is normal. Twenty bottles are selected and weighted. the s

Algebra ->  Probability-and-statistics -> SOLUTION: a filling machine is designed to fill soda bottles with 16 ounces of soda. The distribution for the weight of the bottles is normal. Twenty bottles are selected and weighted. the s      Log On


   



Question 936030: a filling machine is designed to fill soda bottles with 16 ounces of soda. The distribution for the weight of the bottles is normal. Twenty bottles are selected and weighted. the sample mean is 15.3 ounces and sample standard deviation is 1.5 ounces. develop a 90% confidence interval for this sample ?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a filling machine is designed to fill soda bottles with 16 ounces of soda. The distribution for the weight of the bottles is normal. Twenty bottles are selected and weighted. the sample mean is 15.3 ounces and sample standard deviation is 1.5 ounces. develop a 90% confidence interval for this sample ?
-----------
sample mean:: x-bar = 15.3
ME = z*s/sqrt(n)
0-------
ME = 1.645*1.5/sqrt(20) = 0.552
-----
90% CI:: 15.3-0.552 < u < 15.3+0.552
----------------
Cheers,
Stan H.
-----------------