The most common injury that occurs among mountain climbers is trauma to the lower extremity (leg). Consequently, rescuers must be proficient in immobilizing and splinting of fractures. The researchers examined the likelihood of needing certain types of splints. A Mountain Rescue study reported that there were 14 shaft splints needed among 155 live casualties. The researchers will use this study to estimate the proportion of all mountain casualties that require a femoral shaft splint. Find a lower bound for the true proportion using a 90% confidence interval. Round your final answer to three decimal places as needed.
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Given that there were 14 shaft splints needed among 155 live casualties, the sample proportion is calculated as: Sample proportion = 14/155 ≈ 0.0903 Show more…
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The most common injury that occurs among mountain climbers is trauma to the lower extremity (leg). Consequently, rescuers must be proficient in immobilizing and splinting of fractures. The researchers examined the likelihood of needing certain types of splints. A Mountain Rescue study reported that there was 1 shaft splint needed among 342 live casualties. The researchers will use this study to estimate the proportion of all mountain casualties that require a femoral shaft splint. Complete parts a and b below. a. Is the sample large enough to apply the large-sample estimation method of this section? Show why or why not. A. It is inappropriate because the number of successes in the sample is greater than 15. B. It is inappropriate because the number of failures in the sample is less than 15. C. It is inappropriate because the number of failures in the sample is greater than 15. D. It is inappropriate because the number of successes in the sample is less than 15. b. Use Wilson's adjustment to find a 95% confidence interval for the true proportion of all mountain casualties that require a femoral shaft splint. Interpret the result. The 95% confidence interval is (, ). (Round to three decimal places as needed.)
Jacquelinne S. M.
During vigorous downhill hiking, the force on the knee cartilage (the medial and lateral meniscus) can be up to eight times body weight. Depending on the angle of descent, this force can cause a large shear force on the cartilage and deform it. The cartilage has an area of about 10.0 cm2 and a shear modulus of 12.0 MPa . Part A If the hiker plus his pack have a combined mass of 110 kg (not unreasonable), and if the maximum force at impact is 8.00 times his body weight (which, of course, includes the weight of his pack) at an angle of 12.0° with the cartilage (see the figure (Figure 1)), through what angle (in degrees) will his knee cartilage be deformed? (Recall that the bone below the cartilage pushes upward with the same force as the downward force.)
Sri K.
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