1. The distributions of systolic and diastolic blood pressures for female diabetics between the ages of 30 and 24 have unknown means. However, their standard deviations are 11.5 mm Hg (systolic) and 9.2 mm Hg (diastolic) respectively. 1) A random sample of 20 women is selected from this population. The mean systolic blood pressure for the sample is 130 mm Hg. Calculate a two-sided 95% confidence interval for the true mean systolic blood pressure of the population. 2) Interpret this confidence interval. 3) The mean diastolic blood pressure for the sample of size 20 is 85 mm Hg. Find a two-sided 90% confidence interval for the true mean diastolic blood pressure of the population. 4) Calculate a two-sided 99% confidence interval for the true mean diastolic blood pressure of the population. 5) How does the 99% confidence interval compare to the 90% interval? (Refer to 12.4 Level of Confidence page 226-227)