Module Four: Statistical Inference
Module Four: Statistical Inference - Estimation (point estimators and confidence intervals): Estimating population parameters and margins of error Properties of point estimators, including unbiasedness and variability Logic of confidence intervals, meaning of confidence level and confiden..
Module Four: Statistical Inference - Estimation (point estimators and confidence intervals): Estimating population parameters and margins of error Properties of point estimators, including unbiasedness and variability Logic of confidence intervals, meaning of confidence level and confiden..Module One: Exploring Data
Constructing and interpreting graphical displays of distributions of univariate data: Dotplot, stemplot, histogram, cumulative frequency plot Center and spread Clusters and gaps Outliners and other unusual features Shape Summarizing distributions of univariate data: Measurin..
Constructing and interpreting graphical displays of distributions of univariate data: Dotplot, stemplot, histogram, cumulative frequency plot Center and spread Clusters and gaps Outliners and other unusual features Shape Summarizing distributions of univariate data: Measurin..Module Three: Anticipating Patterns
Module Three: Anticipating Patterns - Probability: Interpreting probability, including long-run relative frequency interpretation 'Law of Large Numbers' concept Addition rule, multiplication rule, conditional probability, and independence Discrete random variables and their probability distribution..
Module Three: Anticipating Patterns - Probability: Interpreting probability, including long-run relative frequency interpretation 'Law of Large Numbers' concept Addition rule, multiplication rule, conditional probability, and independence Discrete random variables and their probability distribution..Module Two: Sampling and Experimentation
Module Two: Sampling and Experimentation - Overview of methods of data collection: Census Sample survey Experiment Observational study Planning and conducting surveys: Characteristics of a well-designed and well-conducted survey Populations, samples, and random selection Sources of bias in sampling..
Module Two: Sampling and Experimentation - Overview of methods of data collection: Census Sample survey Experiment Observational study Planning and conducting surveys: Characteristics of a well-designed and well-conducted survey Populations, samples, and random selection Sources of bias in sampling..Example:
In tossing of a coin, there are two exhaustive cases, {H}, {T}. In throwing of a dice, there are 6 exhaustive cases, {1}, {2}, {3}, {4}, {5}, {6}. In throwing of a pair of dice, there are 36 exhaustive cases. Example of an event which is exhaustive, but not mutually exclusive. ..
In tossing of a coin, there are two exhaustive cases, {H}, {T}. In throwing of a dice, there are 6 exhaustive cases, {1}, {2}, {3}, {4}, {5}, {6}. In throwing of a pair of dice, there are 36 exhaustive cases. Example of an event which is exhaustive, but not mutually exclusive. ..Example:
Solve the following LPP graphically using ISO- profit method. maximize Z =100 + 100y. Subject to the constraints ..
Solve the following LPP graphically using ISO- profit method. maximize Z =100 + 100y. Subject to the constraints ..Example:
Show graphically that the L.P.P Maximize Z = 6x + y Subject to the constraints x 0, y 0 has an unbounded soluti..
Show graphically that the L.P.P Maximize Z = 6x + y Subject to the constraints x 0, y 0 has an unbounded soluti..Examples:
8! = 8 x 7 x 6 x 5 x4 x 3 x 2 x 1 = 40320 ..
8! = 8 x 7 x 6 x 5 x4 x 3 x 2 x 1 = 40320 ..Example:
Consider the same experiment throwing a die, then S= {1, 2, 3, 4, 5} Let A = {1, 2, 3, 4}, B = {2, 3, 4, 5} The following are also events A - B = {1 } A'= {5,..
Consider the same experiment throwing a die, then S= {1, 2, 3, 4, 5} Let A = {1, 2, 3, 4}, B = {2, 3, 4, 5} The following are also events A - B = {1 } A'= {5,..Example:
Probability of solving a specific problem independently by A and B are respectively. If both try to solve the problem independently, find the probability that the problems be solve..
Probability of solving a specific problem independently by A and B are respectively. If both try to solve the problem independently, find the probability that the problems be solve.. Result
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