AMS 5 Lecture Notes - Lecture 21: Normal Distribution, Simple Random Sample, Confidence Interval

• School: UCSC
• Department: Applied Math and Statistics
• Course: AMS 5
• Professor: Yonatan Katznelson

Document Summary

: inference: draw conclusions about pop parameters from sample statistics, estimation: use sample stat as an estimate for pop parameters. # of connected devices per household or (4. 065, 4. 335: a metropolis avg is likely to be more than 4. Confidence interval is consistent with this: sample data is used to test assumptions on hypotheses, mike: pop avg. = 4 : joe: pop avg > 4 , who"s right, test, collect data, construct 95%=ci. If ci lies to right of 4, joe wins. Mike wins: different approach, m: u = 4, j: u > 4. If simple avg x is bigger than 4 joe wins: joe is ignoring the fact that the pop avg < 4, as chance error can push the avg down as well as up. Joe"s claim that u > 4: joe is giving a general point, while mike is giving a specific claim.