Silicone implant augmentation rhinoplasty is used to correct congenital nose def

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 12 (newly deceased) adults, the mean failure strain was 25.00 and the standard deviation was human 3.5. (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 (a). The prediction interval is the same as the confidence interval in part (a).

Explanation / Answer

a) std error of confidence interval =std deviation/(n)1/2 =1.01 ;

for 95% CI and 11 df ; t=2.201

hence confidence interval =sample mean -/+t*std deviation =22.78% ; 27.22%

b)

std error of prediction interval =std deviation(1+1/n)1/2 =3.6429

for 95% CI and 11 df ; t=2.201

hence prediction interval =sample mean -/+t*std error =16.98% ; 33.02%

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