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December 21, 2014

December 21, 2014

Posted by **Jason L** on Friday, March 2, 2007 at 8:50am.

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

Think about the idea behind sampling and that of the importance of standard error.

Use z-scores and the z-score formula.

Formula: z = (x - mean)/sd -->sd = standard deviation

Your values to plug into the formula are:

x = 295

mean = 298

sd = 3

Once you determine the z-score, check a z-table (normal distribution table) for the probability. Remember that the question is asking "less than 295 ml" so you will need to take that into consideration when looking at the table.

It helps to know how to read tables to do these kinds of problems.

For part 2, you will need to take the sample size into consideration by using this formula: z = (x - mean)/(sd/√n)

...then determine your probability using the table again.

I hope this will help get you started.

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