Bone cement is sometimes used in and knee replacements to an joint in place. The

Question

Bone cement is sometimes used in and knee replacements to an 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 40.27 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.) You may need to use the appropriate table in Appendix A to answer this question.

Explanation / Answer

here sample size n=6

hence degree of freedom =n-1 =5

here std error =std deviation/(n)1/2 =16.44

also for 95% CI and 5 degrees of freedom, t =2.5706

hence confidence interval =mean +/-t*std error =265 ; 349

therefore 265<f<349

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