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Random Variables and Probability Distributions
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Illustrating Discrete Random Variables
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Illustrating Continuous Random Variables
- View Receive a grade Receive a pass gradeDistinguishing Between a Discrete and Continuous Random Variable
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Finding the Possible Values of a Random Variable
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Illustrating a Probability Distribution for a Discrete Random Variable and its Properties
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Illustrating a probability distribution for a discrete random variable and its properties
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Constructing the Probability Mass Function of a Discrete Random Variable and its Corresponding Histogram
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Constructing the Probability Mass Function of a Discrete Random Variable and its Corresponding Histogram
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Computing Probabilities Corresponding to a Given Random Variable
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Illustrating the Mean and Variance of a Discrete Random Variable
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Calculating the Mean and the Variance of a Discrete Random Variable
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Interpreting the Mean and the Variance of a Discrete Random Variable
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Solving Problems Involving Mean and Variance of Probability Distributions
Normal Distribution
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Illustrating a Normal Random Variable and its Characteristics
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Identifying Regions Under the Normal Curve Corresponding to Different Standard Normal Values
- View Receive a grade Receive a pass gradeIdentifying Regions Under the Normal Curve Corresponding to Different Standard Normal Values
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Converting a Normal Random Variable to a Standard Normal Variable and vice Versa
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Converting a Normal Random Variable to a Standard Normal Variable and vice Versa
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Computing Probabilities And Percentiles Using The Standard Normal Table
Sampling and Sampling Distributions
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Distinguishing between Parameter and Statistic
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Identifying Sampling Distributions of Statistics
- ViewFinding the Mean and Variance of the Sampling Distribution of the Sample Mean
- View Receive a grade Receive a pass gradeFinding the Mean and Variance of the Sampling Distribution of the Sample Mean
- ViewDefining the Sampling Distribution of the Sample Mean for Normal Population when the Variance is Known or Unknown
- View Receive a grade Receive a pass gradeDefining the Sampling Distribution of the Sample Mean for Normal Population when the Variance is Known or Unknown
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Illustrating the Central Limit Theorem
- ViewDefining the Sampling Distribution of the Sample Mean using the Central Limit Theorem
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Defining the Sampling Distribution of the Sample Mean using the Central Limit Theorem
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Solving Problems Involving Sampling Distributions of the Sample Mean
Estimation of Parameters
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Illustrating Point and Interval Estimations
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Distinguishing between Point and Interval Estimation
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Identifying Point Estimator for the Population Mean
- View Receive a grade Receive a pass gradeComputing for the Point Estimate of the Population Mean
- ViewIdentifying the Appropriate Form of the Confidence Interval Estimator for the Population Mean When the Population Variance Is Known
- View Receive a grade Receive a pass gradeIdentifying the Appropriate Form of the Confidence Interval Estimator for the Population Mean when the Population Variance is Known
- ViewIdentifying the Appropriate Form of the Confidence Interval Estimator for the Population Mean when the Population Variance is Unknown
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Identifying the Appropriate Form of the Confidence Interval Estimator for the Population Mean When the Population Variance Is Unknown
- ViewIdentifying the Appropriate Form of the Confidence Interval Estimator for the Population Mean when the Central Limit Theorem Is to be used
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Identifying the Appropriate Form of the Confidence Interval Estimator for the Population Mean When the Central Limit Theorem Is to Be Used
- ViewIdentifying Regions Under the T-Distribution Corresponding to Different T-Values
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Identifying Regions Under the T-Distribution Corresponding to Different T-Values
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Identifying Percentiles Using the T-Table
- ViewComputing for the Confidence Interval Estimate Based on the Appropriate Form of the Estimator for the Population Mean
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Computing for the Confidence Interval Estimate Based on the Appropriate Form of the Estimator for the Population Mean
- ViewSolving Problems Involving Confidence Interval Estimation of the Population Mean
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Solving Problems Involving Confidence Interval Estimation of the Population Mean
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Drawing Conclusion About the Population Mean Based on Its Confidence Interval Estimate
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Drawing Conclusion About the Population Mean Based on Its Confidence Interval Estimate
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Identifying Point Estimator for the Population Proportion
- View Receive a grade Receive a pass gradeComputing For The Point Estimate Of The Population Proportion
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Identifying The Appropriate Form Of The Confidence Interval Estimator For The Population Proportion Based On The Central Limit Theorem
- View Receive a grade Receive a pass gradeIdentifying The Appropriate Form Of The Confidence Interval Estimator For The Population Proportion Based On The Central Limit Theorem
- View Receive a grade Receive a pass gradeComputing For The Confidence Interval Estimate Of The Population Proportion
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Solving Problems Involving Confidence Interval Estimation Of The Population Proportion
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Solving Problems Involving Confidence Interval Estimation Of The Population Proportion
- ViewDrawing Conclusion About The Population Proportion Based On Its Confidence Interval Estimate
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Drawing Conclusion About The Population Proportion Based On Its Confidence Interval Estimate
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Identifying The Length Of The Confidence Interval
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Computing for the Length of the Confidence Interval
- View Receive a grade Receive a pass gradeComputing for an Appropriate Sample Size Using The Length of The Interval
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Solving Problems Involving Sample Size Determination
Test of Hypothesis
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Illustrating Null and Alternative Hypotheses, Level of Significance, Rejection Region and Types of Errors in Hypothesis Testing
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Illustrating Null and Alternative Hypotheses, Level of Significance, Rejection Region and Types of Errors in Hypothesis Testing
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Calculating the Probabilities of Committing a Type I and Type II Error
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Identifying the Parameter to be Tested in a Given Real-Life Problem
- ViewFormulating the Appropriate Null and Alternative Hypotheses on a Population Mean
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Formulating the Appropriate Null and Alternative Hypotheses on a Population Mean
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Identifying the Appropriate Form of the Test Statistic when: (a) the population variance is assumed to be known, (b) the population variance is unknown, and (c) the Central Limit Theorem is to be used
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Identifying the Appropriate Form of the Test-statistic when: (a) the population variance is assumed to be known, (b) the population variance is unknown, and (c) the Central Limit Theorem is to be used
- ViewIdentifying the Appropriate Rejection Region for a Given Level of Significance when: (a) the population variance is assumed to be known, (b) the population variance is assumed to be unknown, and (c) the Central Limit Theorem is to be used
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Identifying the Appropriate Rejection Region for a Given Level of Significance when: (a) the population variance is assumed to be known, (b) the population variance is assumed to be unknown, and (c) the Central Limit Theorem is to be used
- View Receive a grade Receive a pass gradeComputing for the Test-statistic Value (Population Mean)
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Drawing Conclusion about the Population Mean based on the Test-statistic Value and the Rejection Region
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Drawing Conclusion about the Population Mean based on the Test-statistic Value and the Rejection Region
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Solving Problems Involving Test of Hypothesis on the Population Mean
- ViewFormulating the Appropriate Null and Alternative Hypotheses on a Population Proportion
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Formulating the Appropriate Null and Alternative Hypotheses on a Population Proportion
- ViewIdentifying the Appropriate form of the Test Statistic when the Central Limit Theorem is to be used
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Identifying the Appropriate form of the Test-statistic when the Central Limit Theorem is to be Used
- ViewIdentifying the Appropriate Rejection Region for a Given Level of Significance when the Central Limit Theorem is to be used
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Identifying the Appropriate Rejection Region for a Given Level of Significance when the Central Limit Theorem is to be Used
- View Receive a grade Receive a pass gradeComputing for the Test-statistic Value (Population Proportion)
- ViewDrawing Conclusion About the Population Proportion Based on the Test-statistic Value and the Rejection Region
- View Receive a grade Receive a pass gradeDrawing Conclusion About the Population Proportion Based on the Test-statistic Value and the Rejection Region
- View Receive a grade Receive a pass gradeSolving Problems Involving Test of Hypothesis on the Population Proportion
Correlation and Regression Analyses
- View Receive a grade Receive a pass gradeIllustrating the Nature of Bivariate Data
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Describing Shape (Form), Trend (Direction), and Variation (Strength) Based on a Scatter Plot
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Describing Shape (Form), Trend (Direction), and Variation (Strength) Based on a Scatter Plot
- ViewEstimating the Strength of Association between the Variables Based on a Scatter Plot
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Estimating the Strength of Association between the Variables Based on a Scatter Plot
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Calculating the Pearson’s Sample Correlation Coefficient
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Solving Problems Involving Correlation Analysis
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Identifying the Independent and Dependent Variables
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Drawing the Best-fit Line on a Scatter Plot
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Calculating the Slope and y-intercept of the Regression Line
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Interpreting the Calculated Slope and y-intercept of the Regression Line
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Predicting the Value of the Dependent Variable Given the Value of the Independent Variable
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Predicting the Value of the Dependent Variable Given the Value of the Independent Variable
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Solving Problems Involving Regression Analysis