Question
ocints 0Dstat3 s. 9 E.032. Homework 3 One Sample Inference e two interval sonance fr (114.5, 11s.7) and (114.2, 116.0) are confidence intervals fo equency (in hertz) for all tennis rackets of a certain type. 116.0) are confidence intervals for -true average (a) What is the value of the sample mean resonance frequ value ency? hertz (b) The confidence level for one of these intervals is 9 is has a confidence level of 99%? 0% and for the other it is 99%, which on (114.2, 116.0) (114.5, 115.7) may need to use the appropriate table in Appendix A to answer this question. ed He L Read it bone cement is sometimes used in hip and knee replacements to fix an artificial joint in ce required to break an acrylic bone cement bond was measured for six specimens unde ed conditions, and the resulting mean and standard deviation were 304.29 Newtons and s, respectively. Assuming that it is reasonable to assume that breaking force un ons has a distribution that is approximately normal and using 95% confidence erage breaking force f for acrylic bone cement under the specified conditions. (Use Tak x A. Round your answer to the nearest whole number.) der th level, es need to use the appropriate table in Appendix A to answer this question.
Explanation / Answer
1. Here the intervals are (114.5,115.7) and (114.2,116)
Let us take any one interval say (114.5,115.7)
So UCI=mean+E=115.7
And LCI=mean-E=114.5
Hence solving this two equations we get 2mean=115.7+114.5=230.2
Hence mean=115.1
2. As we know as we increase the confidence level width of the interval increases
Based on that concept (114.2,116) is having larger width so its 99% and (114.5,115.7) is for 90% CI
