A machine fills 12 ounce bottles with soda. For the machine to function properly, the standard deviation of the sample must be less than or equal to 0.02 ounce. A sample of 8 bottles is selected, and the number of ounces of soda in each bottle is given. At alpha +0.05, can you reject the claim that the machine is functioning properly? data is 12.06 12.02 11.98 12.05 12.04 12.09 11.99 12.04

Question

A machine fills 12 ounce bottles with soda.  For the machine to function properly, the standard deviation of the sample must be less than or equal to 0.02 ounce. A sample of 8 bottles is selected, and the number of ounces of soda in each bottle is given.  At alpha +0.05, can you reject the claim that the machine is functioning properly?  data is 12.06 12.02 11.98 12.05 12.04 12.09 11.99 12.04

Bot · Answer

The standard deviation of the sample is 0.03, which is greater than 0.02. Therefore, you can reject the claim that the machine is functioning properly at alpha +0.05.