Suppose the systolic blood pressure (in mm) of adult males has an approximately normal distribution with mean u =125 and standard deviation o =14. Create an empirical rule graph with the following: • A title and label for the horizontal axis including units. • Vertical lines for the mean and first 3 standard deviations in each direction with numerical labels on the horizontal axis • Labels for the areas of the 8 regions separated by the vertical lines as well. Note: This may be hand drawn or computer generated. See the models for desired formats. a. Upload your completed file below. Choose File No file chosen Now use your graph to answer the following questions. b. About 68% of men will have blood pressure between what amounts? 111 and 139 c. What percentage of men will have a systolic blood pressure outside the range 97 mm to 139 mm? 18.5

Suppose the systolic blood pressure (in mm) of adult males has an approximately normal distribution with mean u =125 and standard deviation o =14. Create an empirical rule graph with the following: • A title and label for the horizontal axis including units. • Vertical lines for the mean and first 3 standard deviations in each direction with numerical labels on the horizontal axis • Labels for the areas of the 8 regions separated by the vertical lines as well. Note: This may be hand drawn or computer generated. See the models for desired formats. a. Upload your completed file below. Choose File No file chosen Now use your graph to answer the following questions. b. About 68% of men will have blood pressure between what amounts? 111 and 139 c. What percentage of men will have a systolic blood pressure outside the range 97 mm to 139 mm? 18.5

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

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!

Question

Suppose the systolic blood pressure (in mm) of adult males has an approximately normal
distribution with mean u =125 and standard deviation o =14.
Create an empirical rule graph with the following:
• A title and label for the horizontal axis including units.
• Vertical lines for the mean and first 3 standard deviations in each direction with numerical
labels on the horizontal axis
• Labels for the areas of the 8 regions separated by the vertical lines as well.
Note: This may be hand drawn or computer generated. See the models for desired formats.
a. Upload your completed file below. Choose File No file chosen
Now use your graph to answer the following questions.
b. About 68% of men will have blood pressure between what amounts?
111
and 139
c. What percentage of men will have a systolic blood pressure outside the range 97 mm to 139 mm?
18.5
d. Suppose you are a health practitioner and an adult male patient has systolic blood pressure of
168 mm. Use statistics to explain the gravity of his situation. Write an essay below that includes the
following:
1. A brief description of the normal distribution.
2. Why the normal distribution might apply to this situation.
3. Describe the specific normal distribution for this situation (give the mean and standard
deviation)
4. A brief description of the empirical rule
5. What region of the graph (drawn in part a) the individual falls in
6. An estimate of individual's percentile.
7. Why this signifies a health concern.
8. A suggested course of action.

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