Question

Investigation: Soda six-packs

Most soda cans list the volume of soda as 12 fluid ounces. As with all process, some variation occurs when filling soda cans. Suppose that a company knows this and tries to over-fill cans a bit, so that the actual volume of soda in a can follows a normal distribution with mean 12.1 fluid ounces and standard deviation .15 fluid ounces.

e) Would the calculations in b) and/or c) be valid even if the distribution of can volumes were skewed rather than normal? Explain.

f) Suppose that the company wants to change the mean volume so that only 2.5% of cans contain less than 12 fluid ounces, while leaving the standard deviation at .15 fluid ounces. What mean volume should they use?

g) Now suppose that the company wants to change the standard deviation of the volumes so that only 9% of cans contain less than 12 fluid ounces, while leaving the mean at 12.1 fluid ounces. What standard deviation should they use?

Answer 1