A random sample of 16 one-kilogram sugar packets is obtained and the actual weights of the packets are measured. The sample mean is x- = 1.053 kg and the sample standard deviation is s =,0.058 kg. Construct a 99% two-sided t-interval for the average sugar packet weight. Do you think it is plausible that the average weight is 1.025 kg? (This problem is continued in Problem 8.5.14.)