01:960:285 Lecture Notes - Lecture 16: Central Limit Theorem, Confidence Interval, Normal Distribution

• School: Rutgers University
• Department: Statistics and Biostatistic
• Course: 01:960:285
• Professor: Zhanyun Zhao

Document Summary

Stat 285-lecture 16- central limit theorem and confidence interval for the population. The population mean is 80, and the standard deviation is six: the sample has an approximately normal distribution, a mean of. 80, and a standard deviation of / =(cid:888)/ 3(cid:888)=(cid:883: find probability of z-score greater than 2, appr. The manufacturer claims that the distribution of the battery life has a mean of 54 and sd 7: customer feedback indicates a sample of 50 batteries has a mean life of. Sample has mean 54, standard deviation of (cid:889)/ (cid:887)(cid:882)=(cid:882). (cid:882)(cid:891)(cid:890)(cid:891) Sample proportion, or average (cid:1868) =(cid:2869)+(cid:2870)+: mean of the distribution: true binomial proportion p,(cid:4666)(cid:1868) (cid:4667) = (cid:1868, =/ = (cid:1868)(cid:1869)/ = (cid:1868)(cid:1869), when the sample size is large (cid:1868) (cid:883)(cid:887)and (cid:4666)(cid:883) (cid:1868) (cid:4667) (cid:883)(cid:887)the distribution. Variance of the distribution: x1,x2,xn:bernoulli with p is approximately normal: ways of estimating the target parameter, point estimator. The estimate of the population mean is the sample mean.