# FORMULAS.docx - FORMULAS STATISTICS AND PROBABILITY Raw...

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FORMULAS - STATISTICS AND PROBABILITY Raw score o x = μ + (Z multiply by σ) μ = Mean σ - Standard Deviation Z - Z-Score x -Raw Score Z-values for Confidence Intervals Confidence Level Z Value 70% 1.036 75% 1.150 80% 1.282 85% 1.440 90% 1.645 95% 1.960 98% 2.326 99% 2.576 99.5% 2.807 99.9% 3.291 99.99% 3.891 99.999% 4.417 Median: Lower Quartile: Upper Quartile Example 1: 1
Example 2: Mean of Means 2
True mean: o Add all the numbers given o Count how many numbers were given o Sum of all the numbers divided by the count of the numbers Standard deviation of the distribution of the sample means Possible samples: Point estimate of the population parameter = Sum of all given Count of all Confidence Interval Alternative formula for confidence interval: 3
Margin of error o Formula for MOE if a proportion is given: o To get the confidence interval: o Sample proportion (P)+– Margin of Error (MOE) P – MOE P + MOE Evaluation of expression Sample size = formula for sample size if standard deviation is given: 4