a. It is of interest to know if the sample data suggest the average blood glucose level is higher than 7.0 mmol/L. (i) State the appropriate hypotheses. (ii) Compute the test statistic for the hypotheses. (iii) (iv) Compute the approximate p-value associated with the test statistic in part (ii). Do the sample data support the alternative hypothesis at the = 0.05 level? Construct a 95% confidence interval for the mean fasting blood glucose. Based on this interval, can the null hypothesis in (i) be rejected? Justify your answer.

Symptoms of diabetes include increased thirst and frequent urination (especially at night), unexplained increase in appetite, unexplained weight loss, fatigue, erection problems, blurred vision, and tingling or numbness in the hands or feet. If your fasting blood glucose level is between 5.5 mmol/L (100 mg/dL) and 6.9 mmol/L (126 mg/dL), you are considered to have prediabetes (impaired fasting glucose), and you have an increased chance of developing diabetes. Other conditions that can cause high blood glucose levels include severe stress, heart attack, stroke, Cushing's syn- drome, medicines such as corticosteroids, or excess production of growth hormone (acromegaly). The Canadian Diabetes Association (CDA) criteria for diagnosing diabetes are met when any of the following results have been repeated on at least two different days: . A fasting blood glucose level is 7.0 mmol/L (126 mg/dL) or higher. A 2-hour oral glucose tolerance test result is 11.1 mmol/L (200 mg/dL) or higher. Symptoms of diabetes are present and a random blood glucose test is 11.1 mmol/L (200 mg/dL) or higher. The fasting blood glucose level of a randomly selected person was measured for seven days and the following readings were made: 7.0, 7.7, 6.8, 7.1, 7.1, 6.1, 7.3. It is reasonable to assume the glucose level distribution is normal.