Question: For women aged 18 -24, systolic blood pressure (in mm Hg) are normally distributed with a mean of 114.8 and a standard deviation of 13.1. Hypertension is commonly defined as a systolic blood pressure above 140.

(a) If a woman between the ages of 18 and 24 is randomly selected, find the probability that her systolic blood pressure is greater than 140.

(b) If 4 women in that age bracket are randomly selected, find the probability that their systolic blood pressure is greater than 140.

(c) Given that part (b) involves a sample size that is nor larger than 30, why can the Central Limits Theorem be used?

(d) If a physician is given a report stating that 4 women have a mean systolic blood pressure below 140, can she conclude that none of the women have hypertension?