Statistics and Data Analysis ( الإحصاء وتحليل البيانات)

Welcome to Engineering Statistics and Probability TheoryThis course will go over theories and implementation of engineering statistics and probability theories to real business problems. Each section has many examples, quizzes, and assessment exams. Our course includes professional HD Videos with extensive case studies to show you how to apply this knowledge to solve real and practical problems.

In this course we will cover:Introduction to statistics and probabilityWhy Study Statistics. Types of dataDefinitions: Populations, units, and SampleGeneration of random number tableThe difference between Parameters & StatisticsBranches of Statistics (Descriptive and Inferential statistics)Pareto chartDot plotScatter plotFrequency distributionHistogramStem and Leaf displayMeasures of Central Tendency (Mean, Median, and Mode)Measures of Variation (Range, Variance and Standard Deviation)Weighted MeanStandard Deviation for Grouped DataCoefficient of variationDefinitions (Probability experiment, Outcome, Sample space, and Event)Types of ProbabilityClassical (or theoretical) ProbabilityEmpirical (or statistical) ProbabilitySubjective ProbabilityCombining eventsCounting PrinciplesMultiplication of choicesPermutationCombinationThe Axioms of ProbabilityVenn diagramsThe Addition RuleMutually Exclusive EventsConditional ProbabilityThe Multiplication RuleIndependent EventsBayes' TheoremDiscrete Probability DistributionsTypes of Random VariablesDiscrete Probability Distributions (DPD)Binomial DistributionHypergeometric DistributionPoisson DistributionMean, Variance, and Standard Deviation of DPDContinuous Probability DistributionsNormal DistributionThe Standard Normal DistributionThe Standard Normal Distribution TablesThe Normal Approximation to the Binomial DistributionSampling distributionsPopulations and SamplesThe Sampling Distribution of the MeanThe Sampling Distribution of the Mean (σ Known) -> z-distributionThe Sampling Distribution of the Mean (σ Unknown) -> t-distributionSampling Distribution of the Variance -> χ2-distributionF - DistributionEstimation of Population'sEstimation of Population's MeanPoint EstimationInterval EstimationNormal (s known). Or n ³ 30Normal (s Unknown).

Calculation of Sample SizeTests of HypothesesIntroduction to Hypothesis TestingType I and type II errorsLevel of SignificanceHypotheses Testing ProcessTest Statistic SelectionStatistical DecisionHypothesis Testing for the Population's Mean:Large Samples; n ≥ 30 or Normal population (σ Known) à (z)Small Samples: n < 30 and Normal population (σ Unknown) à (t)Tests of Hypotheses Using P-valueHypothesis Testing for ProportionsCorrelation and RegressionCorrelation Coefficient rscatter plotCorrelation CoefficientLinear RegressionRegression LineLinear combination of variablesCovarianceCorrelation using covarianceand much more.