Question

In: Statistics and Probability

Suppose the systolic blood pressure (in mm) of adult males has an approximately normal distribution with...

Suppose the systolic blood pressure (in mm) of adult males has an approximately normal distribution with mean μμ =125 and standard deviation σσ =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 FileScan Mar 5, 2020 (1).pdf

Now use your graph to answer the following questions.

b. About 95% of men will have blood pressure between what amounts?

and

c. What percentage of men will have a systolic blood pressure outside the range 97 mm to 167 mm?

d. Suppose you are a health practitioner and an adult male patient has systolic blood pressure of 172 mm. Use statistics to explain the gravity of his situation. Structure your essay as follows:

  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.

Solutions

Expert Solution


Related Solutions

1. The systolic blood pressure (given in millimeters) of females has an approximately normal distribution with...
1. The systolic blood pressure (given in millimeters) of females has an approximately normal distribution with mean μ = 122 millimeters and standard deviation σ = 16 millimeters. Systolic blood pressure for females follows a normal distribution. What is the probability that a female’s systolic blood pressure is less than 90 millimeters? Round answer to 3 decimal places 2. The systolic blood pressure (given in millimeters) of females has an approximately normal distribution with mean μ = 122 millimeters and...
The distribution of systolic blood pressure in the general population is normal with a mean of...
The distribution of systolic blood pressure in the general population is normal with a mean of 130 mm Hg and a standard deviation of 20 mm Hg. In a special subgroup of 85 people with glaucoma, we find that the mean systolic blood pressure is 135 m Hg with a standard deviation of 20 mm Hg. (a) Assuming that the standard deviation of the glaucoma patients in the same as that of the general population, test for an association between...
The distribution of systolic blood pressures in a group of females with diabetes is approximately normal...
The distribution of systolic blood pressures in a group of females with diabetes is approximately normal with unknown mean. Fortunately, the standard deviation is known: σ= 11.8 mm/Hg. In a sample of 10 women from this group the mean systolic blood pressure was x̅= 130 mmHg. Calculate a two-sided 95% confidence interval for the true mean systolic blood pressure, μ, for the group of diabetic women Repeat (a) but construct a 90% confidence interval instead. How does the two confidence...
The blood pressure of a person changes throughout the day. Suppose the systolic blood pressure of...
The blood pressure of a person changes throughout the day. Suppose the systolic blood pressure of a person is measured 24 times over several days and the standard deviation of these measurements for the person is known to be σ=9 σ = 9 mmHg. Let μ μ be the true average blood pressure for that person and let x¯=96 x ¯ = 96 be the average of the 24 measurements. (a) Find a two-sided 91% confidence interval for μ.μ. One...
The blood pressure of a person changes throughout the day. Suppose the systolic blood pressure of...
The blood pressure of a person changes throughout the day. Suppose the systolic blood pressure of a person is measured 16 times over several days and the standard deviation of these measurements for the person is known to be σ=7.9 mmHg. Let μ be the true average blood pressure for that person and let x¯=127 be the average of the 16 measurements. (a) Find a two-sided 94% confidence interval for μ. One can be 94% confident that the true average...
The blood pressure of a person changes throughout the day. Suppose the systolic blood pressure of...
The blood pressure of a person changes throughout the day. Suppose the systolic blood pressure of a person is measured 16 times over several days and the standard deviation of these measurements for the person is known to be σ=7.9 mmHg. Let μ be the true average blood pressure for that person and let x¯=127 be the average of the 16 measurements. (a) Find a two-sided 94% confidence interval for μ. One can be 94% confident that the true average...
1- Assume that systolic blood pressure of Australian males is Normally distributed with a mean of...
1- Assume that systolic blood pressure of Australian males is Normally distributed with a mean of 113.8 mmHg and a standard deviation of 10.8 mmHg. What proportion of the male population has a blood pressure over 120 mmHg? Select one: a. 28% b. 57% c. 5% d. 72% 2-In a hypothetical population, the age-standardised incidence of liver cancer is 9.5 cases per 100,000 population. Excessive alcohol consumption is a risk factor for development of liver cancer, with consumption of alcohol...
Determine if there is a correlation between weight and systolic and diastolic pressure. Normal blood pressure...
Determine if there is a correlation between weight and systolic and diastolic pressure. Normal blood pressure 110/70 to 140/90 Girls Weight and pressure 1. 117 (122/79) 2. 77 (110/70) 3. 115(121/80) 4. 147 (119/79) 5. 79 (109/70) 6. 117 (125/78) 7. 60 (112/71) 8. 130 (121/80) 9. 105 (122/80) 10. 94 (120/80) Boys Weight and pressure 1. 165 (126/78) 2. 147 (125/78) 3. 160 (120/74) 4. 168 (121/76) 5. 158 (125/80) 6. 187 (140/91) 7. 170 (131/82) 8. 145 (130/80)...
Suppose systolic blood pressure of 16-year-old females is approximately normally distributed with a mean of 118...
Suppose systolic blood pressure of 16-year-old females is approximately normally distributed with a mean of 118 mmHg and a variance of 421.07 mmHg. If a random sample of 16 girls were selected from the population, find the following probabilities: a) The mean systolic blood pressure will be below 119 mmHg. probability = b) The mean systolic blood pressure will be above 124 mmHg. probability = c) The mean systolic blood pressure will be between 112 and 120 mmHg. probability =...
Suppose systolic blood pressure of 18-year-old females is approximately normally distributed with a mean of 123...
Suppose systolic blood pressure of 18-year-old females is approximately normally distributed with a mean of 123 mmHg and a variance of 615.04 mmHg. If a random sample of 18 girls were selected from the population, find the following probabilities: a) The mean systolic blood pressure will be below 109 mmHg. probability = b) The mean systolic blood pressure will be above 124 mmHg. probability = c) The mean systolic blood pressure will be between 106 and 125 mmHg. probability =...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT