(a) Test the hypothesis that the average weight of jars of a particular kind of pickle is 10 grams if the weights of a random sample of 10 containers are 10.1, 9.8, 10.2, 10.3, 10.1, 9.9, 9.9, 10.4, 10.3 and 9.8 grams. Use a 0.01 level of significance and assume that the distribution of weights is normal. (b) A machine produces spare parts with lengths that are normally distributed with =0.2. A sample of 11 parts has a mean length of 80. Find the value of the error term at 99% confidence