(a) a sample of 14 children from parents without diabetes had a mean fasting glucose level of 82.2mg/dL with sample standard deviation 2.49mg/dL.

give a 95% confidence interval for the underlying standard deviation of fasting glucose level for children from parents without diabetes.

(b)a second sample of 14 children from parents both with type II diabetes had a mean fasting glucose level of 86.1mg/dL with sample standard deviation 2.09mg/dL. perform a hypothesis test to determine if the variability in glucose levels is the same for both groups of children. include a statement of

and

, the test statistic and its distribution under

(c) based on your answer to (b), perform a hypothesis test to determine if the mean glucose level is higher for children from parents with type II diabetes than from parents without diabetes. include a statement of

and

, the test statistic and its distribution under