Scores on the math SAT are normally distributed. A sample

Elements of Statistics – Chapter 7 Notes Sampling Error  An error that occurs when we use sampes to estimate a population characteristic  The DIFFERENCE between the POPULATION NUMERICAL INFORMATION and the SAMPLE NUMERICAL INFORMATION Sampling Distribution  Choosing a sample from the original population Sample Illustrative Example EX.1) You have a population of 4 people who gave the number of meals they ate per day : 1, 3, 5, 7 SUBJECTS A B C D # OF 1 3 5 7 MEALS PER DAY SAMPLE DISTRIBUTION with a sample size of 2 A + B  1 + 3 A + C  1 + 5 A + D  1 + 7 List of all B + C  3 + 5 Possible B + D  3 + 7 Samples C + D  5 + 7 Sampling Distribution of Sample Mean  X =  /  (n)  = Standard Deviation n = Sample Size  X = Sample Mean X =   = Population Mean Z =  X -  X /  X Z = Z-Score Central Limit Theorem (CLT)  If a smaple size is large enough the sampling distribution is normal with a symmetric curve  If sample size is unknown, it is considered to be at least 30 EX.1) A tanning salon calculated the average ti