Silicone implant augmentation rhinoplasty is used to correct congenital nose deformities. The success of the procedure dependson various biomechanical properties of the human nasal periosteum and fascia. An article reported that for a sample of 13 (newlydeceased) adults, the mean failure strain (%) was 26.0, and the standard deviation was 3.3.(a) Assuming a normal distribution for failure strain, estimate true average strain in a way that conveys information aboutprecision and reliability. (Use a 95% confidence interval. Round your answers to two decimal places.)%,%(b) Predict the strain for a single adult in a way that conveys information about precision and reliability. (Use a 95%prediction interval. Round your answers to two decimal places.)%1%How does the prediction compare to the estimate calculated in part (a)?The prediction interval is much wider than the confidence interval in part (a).The prediction interval is the same as the confidence interval in part (a).The prediction interval is much narrower than the confidence interval in part (a).You may need to use the appropriate table in the Appendix of Tables to answer this question.Need Help?Read ItWatch It

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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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The size of the left upper chamber of the heart is one measure of cardiovascular health. When the upper left chamber is enlarged, the risk of heart problems is increased. A paper described a study in which the left atrial size was measured for a large number of children aged 5 to 15 years. Based on these data, the authors concluded that for healthy children, left atrial diameter was approximately normally distributed with a mean of 26.7 mm and a standard deviation of 4.4 mm. (Round your answers to four decimal places.)
A machine that cuts corks for wine bottles operates in such a way that the distribution of the diameter of corks is well approximated by a Normal distribution with mean 3 cm and standard deviation 0.1 cm. The specififications call for corks with diameters between 2.9 and 3.1 cm. A cork not meeting the specififications is considered defective (a cork that is too small leaks and causes the wine to deteriorate; a cork that is too large does not fifit in the bottle). (a) What proportion of corks produced by this machine are defective? (b) If you choose 15 corks at random produced by this machine, what is the probability that 5 of them will be defective?
Overproduction of uric acid in the body can be an indication of cell breakdown. This may be an advance indication of illness such as gout , leukemia or lymphoma. Over a period of months an adult male patient has taken even blood tests for uric acid. The mean concentration was x =5.30mh/dL. The distribution of uric acid in healthy adult males can be assumed to be normal, with standard deviation =1.95mg/dL. Find a 95% confidence interval for the population mean concentration of uric acid in this patients blood What is margin of error? Lower limit? Upper limit? And margin of error?
The size of the left upper chamber of the heart is one measure of cardiovascular health. When the upper left chamber is enlarged, the risk of heart problems is increased. A paper described a study in which the left atrial size was measured for a large number of children aged 5 to 15 years. Based on these data, the authors concluded that for healthy children, left atrial diameter was approximately normally distributed with a mean of 26.7 mm and a standard deviation of 4.4 mm. (Round your answers to four decimal places.) n USE SALT (a) Approximately what proportion of healthy children have left atrial diameters less than 24 mm?
The size of the left upper chamber of the heart is one measure of cardiovascular health. When the upper left chamber is enlarged, the risk of heart problems is increased. A paper described a study in which the left atrial size was measured for a large number of children aged 5 to 15 years. Based on these data, the authors concluded that for healthy children, left atrial diameter was approximately normally distributed with a mean of 26.2 mm and a standard deviation of 4.1 mm. (Round your answers to four decimal places.) A USE SALT (a) Approximately what proportion of healthy children have left atrial diameters less than 24 mm? (b) Approximately what proportion of healthy children have left atrial diameters greater than 32 mm? (c) Approximately what proportion of healthy children have left atrial diameters between 25 and 30 mm? (d) For healthy children, what is the value for which only about 20% have a larger left atrial diameter? mm
Silicone implant augmentation rhinoplasty is used to correct congenital nose deformities. The success of the procedure depends on various biomechanical properties of the human nasal periosteum and fascia. An article reported that for a sample of 17 (newly deceased) adults, the mean failure strain (%) was 24.0, and the standard deviation was 3.2. (a) Assuming a normal distribution for failure strain, estimate true average strain in a way that conveys information about precision and reliability. (Use a 95% confidence interval. Round your answers to two decimal places.) 22.27 X%, 25.73 X % (b) Predict the strain for a single adult in a way that conveys information about precision and reliability. (Use a 95% prediction interval. Round your answers to two decimal places.) 16.66 X%, 31.34 X %
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 200 engines and the mean pressure was 4.4 lbs/square inch. Assume the standard deviation is known to be 0.9. If the valve was designed to produce a mean pressure of 4.5 lbs/square inch, is there sufficient evidence at the 0.02 level that the valve performs below the specifications? State the null and alternative hypotheses for the above scenario.
The mean measured verbal IQ ( IQV) score of a random sample of 20 children was 86.9 with a standard deviation of 18.5. the mean measured performance IQ score (IQP) of a random sample of 20 children was 101.8 with a standard deviation of 20.0. Using the Critical Value Method and alpha = 0.005 to test the claim that the mean IQV is less than the mean IQP. Assume the population variance are not equal (so use unpooled)
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 260 engines and the mean pressure was 4 lbs/square inch. Assume the variance is known to be 0.64. If the valve was designed to produce a mean pressure of 4.1 lbs/square inch, is there sufficient evidence at the 0.02 level that the valve does not perform to the specifications? State the null and alternative hypotheses for the above scenario.
Silicone implant augmentation rhinoplasty is used to correct congenital nose deformities. The success of the procedure depends on various biomechanical properties of the human nasal periosteum and fascia. An article reported that for a sample of 13 (newly deceased) adults, the mean failure strain (%) was 26.0, and the standard deviation was 3.4. (a) Assuming a normal distribution for failure strain, estimate true average strain in a way that conveys information about precision and reliability. (Use a 95% confidence interval. Round your answers to two decimal places.) %, % (b) Predict the strain for a single adult in a way that conveys information about precision and reliability. (Use a 95% prediction interval. Round your answers to two decimal places.) %, % How does the prediction compare to the estimate calculated in part (a)? The prediction interval is much narrower than the confidence interval in part (a). The prediction interval is much wider than the confidence interval in part…

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