Blood Pressure For women aged 18-24, systolic blood pressures (in mm Hg) are normally distributed with a mean of 114.8 and a standard deviation of 13.1 (based on data from the National Health Survey) a. If a woman between the ages of 18 and 24 is randomly selected, find the probability that her systolic blood pressure is above 120. b. If 12 women in that age bracket are randomly selected, find the probability that their mean systolic blood pressure is greater than 120. c. Given that part (b) involves a sample size that is not larger than 30, why can the central limit theorem be used?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Blood Pressure For women aged 18-24, systolic blood pressures (in mm Hg) are normally distributed with a
a. If a woman between the ages of 18 and 24 is randomly selected, find the
b. If 12 women in that age bracket are randomly selected, find the probability that their mean systolic blood pressure is greater than 120.
c. Given that part (b) involves a
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 2 images
