Directions: Find the interval estimate of an unknown population mean in the given problem. {2 items x 10 points} . A machine dispenses sugar into 1 kg plastic bags. A sample of nine bags of sugar was taken and the average weight is 1-0056 kg with a standard deviation of 0.0246. Assuming a normal population, determine a 99% condence interval for the mean weight. . A random sample of 25 bottles of Vitamin C contains, on average, 325.55 mg with a standard deviation of 0.5. Find the 95% confidence interval for the true mean content of this brand of Vitamin C. Assume that the content is normallv distributed