mathematical statistics with applications homework

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..

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 distributions, including binomial and ..

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 and surveys Samp..

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: Mea..

Applications - After the elementary study in probability, let us see how we can utilise this basic knowledge in solving problems of different are..

A travelling sales man can find the shortest routes to save time / fuel cost. The most economic and efficient manner of locating manufacturing plants and distribution centres may be used. Linear programming may be used for effective and efficient production management and manpower manageme..

To provide the required protection at the minimum cost, linear programming is used. This technique is useful to cause maximum damage to the enemy with minimum fuel/cos..

Transportation Problem - Goods have to be transported from sources (like factories) to destinations (like warehouses) on a regular basis. The transportation problem deals with minimising the costs in doing so. Linear programming effectively deals with this proble..

Statistics - The scientific methods of collection of data, its classification and application to commerce and everyday life is called statistics..

We are already familiar with graphical reorientation of linear equations and inequations. This chapter describes the application of linear equations and inequations in solving different kinds of practical problems. Let us consider few examples to understand what we mean by linear programm..