Use the traditional method to test the given hypothesis. Assume that the population is normally distributed and that the sample has been randomly selected. Select the appropriate response. 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.
Select the correct test statistic and conclusion based on the null hypothesis.

Test statistic: χχ2 = 2.370. Reject the null hypothesis.

Test statistic: χχ2 = 3.581. Fail to reject the null hypothesis.

Test statistic: χχ2 = 8.367. Reject the null hypothesis.

Test statistic: χχ2 = 2.370. Fail to reject the null hypothesis.