Statistics: Z-test Hypothesis Testing – #406


Question: Use the traditional method to test the given hypothesis. Assume that the population is normally distributed and that the sample has been randomly selected.

Show a complete hypothesis test with all six steps.

A machine dispenses a liquid drug into bottles in such a way that the standard deviation of the contents is 81 milliliters. A new machine is tested on a sample of 24 containers and the standard deviation for this sample group is found to be 26 milliliters. At the 0.05 level of significance, test the claim that the amounts dispensed by the new machine have a smaller standard deviation.

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