1. Past studies showed that maternal diabetes results in obesity, blood pressure, and glucose tolerance complications in the offspring. Following are the arterial blood pressures, in millimetres of mercury (mm Hg), The sample mean is = 85.99 mm Hg and the sample standard deviation is s = 8.08 mm Hg

(a) Obtain a 95% confidence interval for the mean arterial blood pressure of all children of diabetic mothers. (4 marks)

(b) Interpret the confidence interval obtained in part (a). (2 marks)

(c) Obtain a 90% confidence interval for the mean arterial blood pressure of all children of diabetic mothers. (4 marks)

(d) Compare the confidence intervals obtained in parts (a) and (c). Which interval is wider? Write a sentence to summarize the relationship between the length of a confidence interval and the confidence level. (4 marks)