One companys bags of potato chips have a set weight of 326 grams. Because the ch

One companys bags of potato chips have a set weight of 326 grams. Because the chips vary in size it is difficult to fill the bags to the exact weight desired. However the bags pass inspection if the standard deviation of their weights is no more than 3 grams. A quality control inspector wished to test the claim that one batch of bags has a standard deviation of more than 3 grams and therefore does not pass inspection. If a sample of 25 bags is taken and the standard deviation is found to be 3.4 grams does this evidence at the 0.05 level of significance support the claim that the bags should fail inspection? Assume the population is normally distributed