Question: A machine that fills cans of Mountain Lightning is supposed to put 12 ounces of beverage in each can. The variance of the amount in each can is 0.01. The machine is moved to a new location, which has previously been shown to alter the machine settings. Determine whether the variance has changed following the move based on the following sample of the fills of 10 Mountain Lightning cans.
12.18 11.77 12.09 12.03 11.87 11.96 12.03 12.36 12.28 11.85
We are given that : the variance of the amount in each can is 0.01.
After moving machine to new location, there is change in or alter the machine settings. Hence we would like to know if variance has changed or not. For that purpose we use given sample of 10 Mountain Lightning cans.
Step 1: State null hypothesis H0 and alternative hypothesis Ha.