Week 7 notes
Week 7 notes STAT 200
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This 2 page Class Notes was uploaded by Kelsey Marr on Sunday March 1, 2015. The Class Notes belongs to STAT 200 at Pennsylvania State University taught by Andrew Wiesner in Winter2015. Since its upload, it has received 44 views. For similar materials see Elementary Statistics in Statistics at Pennsylvania State University.
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Date Created: 03/01/15
Stat 200 Andrew Wiesner Week 7 Notes Sample Distribution 1 Proportion 2 Mean Notation o Proportions pl population proportion This is a parameter P hat sample proportion statistic 0 Means Greek letter quotmuquot population mean parameter X barl sample mean statistic Parameters are summary measures of the population Statistics are summary measures from sample Parameters are xed statistics vary Since these statistics vary they can have distributions Conveniently under certain conditions the sample proportion and sample mean will follow a normal distribution Thus we can use zmethods to calculate probabilities Conditions for proportion o npg 10 o n1O Z 10 o if both are satis ed then p hat has an approximately normal distribution with a mean to p and a standard error to the square root of p1Dn Conditions for means 0 Population is normal 0 OR 0 Sample size is large enough ex n 3 30 What this implies if population distribution is unknown or not normal then with large enough sample the sample mean will be approximately normal This is referred to as the central limit theorem 0 If either is satis ed then x bar is approximately normal with a mean of mu 0 quotstandard errorquot is a measure of variability for a statistic Think of it as the standard deviation for a sample statistic quotstandard deviationquot is the SD for a sample 0 If conditions we discussed are met we can nd probabilities for a sample proportion and sample mean using 2 score Proportion z p hat pthe square root of p1Pn 0 Sample mean 2 x bar muSE O o In minitab we follow the same process as last week 0
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