Carbonated Beverage:The fill volume of an automated filling machine used for filling bottles of carbonated beverage is normally distributed with a mean of=12.4

=12.4fluid ounces and a standard deviation of 0.15 fluid ounce,=0.15

=0.15.

Questions:

a)What is the fill volume of a bottle of carbonated beverage thatis 2 standard deviations above the mean volume?

b)What is the fill volume of a bottle of carbonated beverage thatis 1 standard deviation below the mean volume?

c)Compute the z value that corresponds to X= 12.73 fluid ounces.Round to 2 decimal places.Show your work.

d) Compute the z value that corresponds to X= 11.95 fluid ounces.Round to 2 decimal places.Show your work.

e)The quality control supervisor says that there's at least 1% chance (meaning 1% or more) that the volume of a randomly selected bottle is less than 11.95 ounces, is he right or not?Explain your answer.(2pts)

f)If all bottles less than 11.95 fluid ounces or greater than 12.73 fluid ounces are scrapped, what percentage of bottles will be scrapped? To receive full credit, show your work or explain how you obtained the answer.(4pts)

g)Compute the minimum and maximum fill volume of the bottles that comprise the middle 90% of this population.Show work or explain in detail how you obtained your answers.Round to 2 decimal places.(4pts)