A recent study reported that diastolic blood pressures of adult women in the United States are approximately normally distributed with mean 80.3 and standard deviation 8.9. What proportion of Women have blood pressures higher than 85.8?
A) 0.3662
B) 0.7324
C) 0.2676
D) 0.6338

Question

Quizplus · Accepted Answer

We need to find the proportion of women with blood pressures higher than 85.8, which can be translated into finding the probability that a randomly selected woman has a diastolic blood pressure higher than 85.8. Using the normal distribution and standardizing:

z = (85.8 - 80.3) / 8.9 = 0.62

Using a standard normal distribution table or calculator, we find that the proportion of values exceeding a z-score of 0.62 is 0.2676. Therefore, about 26.76% of women have blood pressures higher than 85.8.

A Recent Study Reported That Diastolic Blood Pressures of Adult