In: Statistics and Probability
In a plant that fills 12 ounce cans of soda, the mean fill amount with the current machinery is 12.2 ounces with a standard deviation of 0.03 ounces. A new machine is said to be more accurate, so the company tested this new machine on a run of 10 cans, and obtained the following fill amounts:
12.03 12.10 12.02 11.92 12.10 12.00 12.05 11.97 11.99 11.87
Test the claim that the standard deviation of the new machine is lower than the standard deviation of the original machine at a 1% significance level, because purchasing the new machines is very expensive.
The alternative hypothesis is H1: