2103 Chap 5 OCTOBER 20, 22, 25, 27, 29 FALL 2010 Class Notes

# 2103 Chap 5 OCTOBER 20, 22, 25, 27, 29 FALL 2010 Class Notes

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Chapter 5: Confidence Intervals and Sample Size Sec 5.1 Introduction Point Estimate Target Parameter Point Estimator Interval Estimator Confidence Interval Monday October 25: Chapter Five; Confidence Intervals and Reminder: Your Peer Teacher, Marc Fulmer has hours Monda Extra Credit: As shown on syllabus, students can earn up to for attending office hour e.g., if students attend o If a student attends 8 se Contact: Rob Pred at [email protected], and marc.fulm Pred is available before Sec. 5.2 Confidence Interval for Population Mean : using Nor Confidence Coefficient Degree of Confidence (aka, level of confidence) Formula for Single Sample Confidence Interval Interpretation of Results

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Margin of Error Let's say we are testing Laptop Batteries X= Length of Laptop use in hours on one complete charge n= 36 36 144batterie Sample MeanXbar= 4.68 4.68 4.68hours SDEV=Sigma= 0.37 0.37 0.37hours Confidence Coeff 0.900 0.95 0.9595% de Z alpha/2= 1.645 1.96 1.96 Std. Error=SD/Sqrt(n)= 0.06 0.06 0.03 Margin of Error= 0.10 0.12 0.06 Confidence Limits: Upper(UCL)= 4.78 4.80 Lower(LCL)= 4.58 4.56 Interval Width UCL-LCL= 0.242 MOE*2= Interpretation: with 95% degree of confidence, we conclude the True Population mean life falls between 4.56 and 4.80 hrs Effects of Sample Size: As "n" increases, margin of error dec and Limits would move Effects of Confidence Coefficient on Margin of Error?
Point Estimate=Xbar 6563 X=expenses pe Sample Size= 1751 Upper Limit= Std. Deviation= 2484 Lower Limit= Std. Error of Mean= 59.36 Critical Value of Z= 1.65

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