Expert: Paul Klarreich - 6/17/2009

Question
I don't know what catergory to ask this in but I cannot figure out how to do this statistical problem.....

. In filling bottles of L&E Cola, the average amount of overfilling should be kept as low as possible. If the mean fill volume is 12.1 ounces and the standard deviation is 0.05 ounce, what percentage of bottles will have less than 12 ounces? More than 12.1 ounces (assuming no overflow)?

Thanks

Answer
Questioner:   Jordan
Country:  United States
Category:  Calculus
Private:  No
 
Subject:  Statistics MAth Problem for Quality Process & Improvement
Question:  I don't know what catergory to ask this in but I cannot figure out how to do this statistical problem.....

. In filling bottles of L&E Cola, the average amount of overfilling should be kept as low as possible. If the mean fill volume is 12.1 ounces and the standard deviation is 0.05 ounce, what percentage of bottles will have less than 12 ounces? More than 12.1 ounces (assuming no overflow)?

Thanks
.................................
Hi, Jordan,

If  m = 12.1 and  s = 0.05, then:

12.0 is  m - 2s, or 2 sd's below the mean.  Use a standard table to find the percent below this.

12.1 is m, so you should expect exactly 50% above it.