A nutritionist believes that a 12 ounce box of breakfast cereal should contain an average 1.2 ounces of bran. The nutritionist measures a random sample of sixty boxes of popu cereal for bran content. Suppose sample mean is, x=1.170 and standard deviation, s 0.111. Do the data indicate that the mean bran content of all boxes of this brand of cer differs from 1.2 ounces? Use a=.05.