Acrylic bone cement is sometimes used in hip and knee replacements to fix an art

Question

Acrylic bone cement is sometimes used in hip and knee replacements to fix an artificial joint in place. The force required to break an acrylic bone cement bond was measured for six specimens under specified conditions, and the resulting mean and standard deviation were 306.79 Newtons and 41.77 Newtons, respectively. Assuming that it is reasonable to assume that breaking force under these conditions has a distribution that is approximately normal and using 95% confidence level, estimate the true average breaking force f for acrylic bone cement under the specified conditions. (Use Table 3 in Appendix A. Round your answer to the nearest whole number.) f

Explanation / Answer

here std error of mean =std deviaiton/(n)1/2 =41.77/(6)1/2 =17.0525

for 95% CI and (n-1=5) degree of freedom ; critical value of t =2.5706

therefore 95% confidence level for  true average breaking force f for acrylic bone cement under the specified conditions =sample mean -/+ t*Std error =263 to 351

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