Most soft drink beverages are packaged and sold in 12-ounce cans. You want to test to see how accurate the companies package these cans, so you take a sample of Coke cans and a sample of Pepsi cans...

Most soft drink beverages are packaged and sold in 12-ounce cans. You want to test to see how accurate the companies package these cans, so you take a sample of Coke cans and a sample of Pepsi cans and measure the amount of soda in each can.


You wish to test the claim that the mean amount of liquid in Coke cans is greater than the mean amount of liquid in Pepsi cans at a significance level of α=0.005α=0.005.


a) Choose the correct null and alternative hypotheses.

Both populations are normally distributed, with cans of Coke having a population standard deviation of 0.074 and cans of Pepsi having a population standard deviations of 0.075 Your sample of 40 cans of Coke gave a mean of 11.97 ounces, while your sample of 46 cans of Pepsi gave a mean of 11.9 ounces.


b) What is thetest statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =


c) What is thep-value for this sample? (Report answer accurate to four decimal places.)
p-value =


d) The p-value is...

e) This test statistic leads to a decision to...

f) As such, the final conclusion is that...