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 13 (newly deceased) adults, the mean failure strain (%) was 24.0, and the standard deviation was 3.4. (a) Assuming a normal distribution for strain, failure 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 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 in Interval in part (a).

Explanation / Answer

a) here std error of mean for confidence interval =std deviation/(n)1/2 =0.943

for 95% CI and (n-1=12) degree of freedom t=2.1788

hence confidence interval =sample mean -/+ t*std error =21.95 ; 26.05

b)

here std error of mean for prediction interval =std deviation*(1+1/n)1/2 =3.5283

for 95% PI and (n-1=12) degree of freedom t=2.1788

hence prediction interval =sample mean -/+ t*std error =16.31 ; 31.69

the prediction interval is much wider...

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