If 16 women are randomly selected, find the probability that the mean of their diastolic blood pressure levels is less than 75 mm Hg.

Assume that women have diastolic blood pressure measures that are normally distributed with a mean of 70.2 mm Hg and a standard deviation of 11.2 mm Hg (based on Data Set 1 ?Body Data? in Appendix B).

Data set 1

HDL SYSTOLIC DIASTOLIC 70 73 70 PLATE WEIGHT WAIST GENDER (1 = M) 80 84 WHITE RED HEIGHT ARM CIR AGE LDL BMI %3D PULSE 43 57 100 8.7 4.9 4.80 319 98.6 172.0 120.4 40.7 33.3 68 186.0 112 35 116 4.73 187 96.9 37.0 28.0 107.8 94 297 120.3 38 36 223 6.9 4.47 108.2 154.4 44.3 45.4 134 94 126 37 4.32 30.3 80 74 64 83 7.5 170 73.1 160.5 97.2 28.4 37 50 34 25.9 68 50 104 140 83.1 179.0 95.1 34.0 6.1 114 4.95