Margin Of Error Notation
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Margin Of Error Calculator
Book reviews Glossary AP practice exam Problems and solutions Formulas Notation Share with Friends Statistics Notation This web page margin of error definition describes how symbols are used on the Stat Trek web site to represent numbers, variables, parameters, statistics, etc. Capitalization In general, capital letters refer to population attributes (i.e., parameters); and lower-case letters refer to margin of error excel sample attributes (i.e., statistics). For example, P refers to a population proportion; and p, to a sample proportion. X refers to a set of population elements; and x, to a set of sample elements. N refers to population size; and n, to sample size. Greek vs. Roman Letters Like capital letters, Greek letters refer to population attributes. Their sample counterparts, however, are usually Roman letters. For example, μ
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refers to a population mean; and x, to a sample mean. σ refers to the standard deviation of a population; and s, to the standard deviation of a sample. Population Parameters By convention, specific symbols represent certain population parameters. For example, μ refers to a population mean. σ refers to the standard deviation of a population. σ2 refers to the variance of a population. P refers to the proportion of population elements that have a particular attribute. Q refers to the proportion of population elements that do not have a particular attribute, so Q = 1 - P. ρ is the population correlation coefficient, based on all of the elements from a population. N is the number of elements in a population. Sample Statistics By convention, specific symbols represent certain sample statistics. For example, x refers to a sample mean. s refers to the standard deviation of a sample. s2 refers to the variance of a sample. p refers to the proportion of sample elements that have a particular attribute. q refers to the proportion of sample elements that do not have a particular attribute, so q = 1 - p. r is the sample correlation coefficient, based on all of the ele
About Education Statistics Statistics Formulas Margin of Error Formula By Courtney Taylor Statistics Expert Share Pin Tweet Submit Stumble Post Share Sign Up for Our margin of error confidence interval calculator Free Newsletters Thanks, You're in! About Today Living Healthy Statistics You acceptable margin of error might also enjoy: Health Tip of the Day Recipe of the Day Sign up There was an error.
Margin Of Error Sample Size
Please try again. Please select a newsletter. Please enter a valid email address. Did you mean ? Thank you,,for signing up! Statistics Statistics Help and Tutorials Statistics Formulas http://stattrek.com/statistics/notation.aspx Probability Help & Tutorials Practice Problems Lesson Plans Classroom Activities Applications of Statistics Books, Software & Resources Careers Notable Statisticians Mathematical Statistics 1 of 1 Margin of Error Formula Use to navigate. Photo Credit: C.K.Taylor The formula above is used to calculate the margin of error of a sample mean, provided that we have a sample from a http://statistics.about.com/od/Formulas/ss/Margin-Of-Error-Formula.htm population that is normally distributed and know the population standard deviation. The symbol E denotes the margin of error of the unknown population mean. An explanation for each of the variable follows.The Level of ConfidenceThe symbol α is the Greek letter alpha. It is used to denote the level of confidence that we are working with. Any percentage less than 100% is possible here, but in order to have meaningful results, we need to use numbers close to 100%. Common levels of confidence are 90%, 95% and 99%. The value of α is determined by subtracting our level of confidence from one, and writing the result as a decimal. So a 95% level of confidence would correspond to a value of α = 1 - 0.95 = 0.05.The Critical ValueThe critical value for our margin of error formula is denoted by zα/2. This is the point z* on the standard normal distribution table of z-scores for which an area of α/2 lies above z*. Alternately is is the point on the bel
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