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 14 (newly deceased) adults, the mean failure strain (%) was 24.0, 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.) 22.22 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.)

Explanation / Answer

a)here std error =std deviation/(n)1/2 =3.3/(14)1/2 =0.882

for 95% confidence and (n-1=13) degree of freedom ; t =2.1604

hence 95% confidence interval =sample mean -/+ t*Std error =22.09 to 25.91

b)

a)here std error for prediction=std deviation(1+1/n)1/2 =3.3*(1+1/14)1/2 =3.416

for 95% confidence and (n-1=13) degree of freedom ; t =2.1604

hence 95% prediction interval =sample mean -/+ t*Std error =16.62 to 31.38

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