Monday

July 28, 2014

July 28, 2014

Posted by **LINDA** on Tuesday, March 13, 2007 at 3:08pm.

Part 2 - What is the probability that the average content of a 4 pack of bottles is less than 295 ml?

With one bottle, you can use the Z-score.

Z = (X - mean)/SD = (295 - 298)/3 = -3/3 = -1

If you have memorized the major divisions of the areas in a normal distribution as indicated by the standard deviation (SD), you would know that 16% of the scores lie below this point = .16.

If you don't know these proportions, consult a table in the back of your statistics text called something like "areas under the normal distribution."

For the 4 bottles, you use the same formula. However, this time — since you are dealing with a sample mean rather than just an individual score — instead of dividing by the SD, you divide by the standard error of the mean (SE).

Z = (X - mean)/SE, where

SE = SD/sq.rt. of N

Solve for Z and look it up in that table to get your answer.

I hope this helps. Thanks for asking.

**Related Questions**

Statistics - A bottling company uses a filling machine to fill glass bottles ...

Statistics - A bottling company uses a filling machine to fill glass bottles ...

statistics - A bottling commpany produces bottles that hold 10 ounces of liquid...

Statistics - A machine is used to fill soda bottles in a factory. The bottles ...

statistics - The owner of a bottling company is considering buying a new ...

Statistics - A brewery's filling machine is adjusted to fill bottles with a mean...

stats - A company that manufactures and bottles apple juice has a machine that ...

math - In a bottling company, a machine can fill a 2-liter (L) bottle in 0.5 ...

Math - In a bottling company, a machine can fill a 2-liter (L) bottle in 0.5 ...

Math - Business and finance. In a bottling company, a machine can fill a 2-liter...