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 25.0, 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.)

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(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.)

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Explanation / Answer

a) here std error of mean=std deviation/(n)1/2 =0.855

for 13 degree of freedom and 95% CI, t=1.8476

hence confidence interval =sample mean -/+ t*std error =23.15 ; 26.85

b)for prediction interval; std error of mean=std deviation(1+1/n)1/2 =3.312

for 13 degree of freedom and 95% CI, t=1.8476

hence confidence interval =sample mean -/+ t*std error =17.84 ; 32.16

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