In Problems 7-12, parts (a) and (b) relate to testing
Physiology: Oxygen Aviation and high-altitude physiology is a specialty in the study of medicine. Let x = partial pressure of oxygen in the alveoli (air cells in the lungs) when breathing naturally available air. Let y = partial pressure when breathing pure oxygen. The (x, y) data pairs correspond to elevations from 10.000 feet to 30,000 feet in 5000-foot intervals for a random sample of volunteers. Although the medical data were collected using airplanes, they apply equally well to Mt. Everest climbers (summit 29,028 feet).
x | 6.7 | 5.1 | 4.2 | 3.3 | 2.1 (units: mm Hg/10) |
y | 43.6 | 32.9 | 26.2 | 16.2 | 13.9 (units: mm Hg/10) |
(Based on information taken from Textbook of Medical Physiology by A. C. Guyton, M.D.)
(a) Verify that
(b) Use a 1% level of significance to test the claim that
(c) Verify that
(d) Find the predicted pressure when breathing pure oxygen if the pressure from breathing available air is x = 4.0.
(e) Find a 90% confidence interval for y when x = 4.0.
(f) Use a 1% level of significance to test the claim that
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Chapter 11 Solutions
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- Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.arrow_forwardFind the equation of the regression line for the following data set. x 1 2 3 y 0 3 4arrow_forward
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