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Silicone implant augmentation rhinoplasty is used to correct congenital nose def

ID: 3171882 • Letter: S

Question

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 3.3. (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.) (24.00 %, 28.00 %) (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 (a). The prediction interval is the same as the confidence interval in part (a).

Explanation / Answer

here std error =std deviation/(n)1/2 =0.915

also for 95% CI and 12 degree of freedom ; t=2.1788

hence confidence interval =mean +/- t*std error =24% ; 28.00%

b)for prediction interval std error ==std deviation(1+1/n)1/2 =3.4246

hence prediction interval =mean +/- t*std error =18.54% ; 33.46%

the prediction interval is much wider then confidence interval

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