Provide an appropriate response.
-A machine dispenses a liquid drug into bottles in such a way that the standard deviation of the volumes dispensed is 81 microliters. A new machine is tested on a sample of 24 containers and the standard deviation for this sample group is found to be 50 microliters. Why would it be important to perform a hypothesis test to determine whether the standard deviation, Ϭ, of the volumes dispensed by the new machine is less than 81 microliters?

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-A machine dispenses a liquid drug into bottles in such a way that the standard deviation of the volumes dispensed is 81 microliters. A new machine is tested on a sample of 24 containers and the standard deviation for this sample group is found to be 50 microliters. Why would it be important to perform a hypothesis test to determine whether the standard deviation, Ϭ, of the volumes dispensed by the new machine is less than 81 microliters?

Provide an Appropriate Response