27610 - Statistics II
450 - Degree in Marketing and Market Research
The content is
Lesson 1: Discrete probability distributions.
Random variables. Discrete and continuous random variable. Probability distribution or mass function. Binomial, Hypergeometric and Poisson distributions.
Lesson 2: Continuous probability distributions.
Continuous random variable. Probability density function. Uniform and Exponential distributions. Normal distribution and related to normal distributions.
Lesson 3: Basic notions of sampling theory.
Sampling from a population. Sampling methods. Sampling distribution of statistics: Monte Carlo method. Asymptotic behavior of sampling moments. Sample-size determination.
Lesson 4: Point estimators and Interval estimation
Estimation. Building estimators: method of moments and maximum likelihood estimates. Properties of estimators.
Confidence interval. Methods of finding interval estimators. Confidence intervals for parameters of normal distribution. Some applications.
Lesson 5: Parametric hypotheses.
Basic concepts: Simple, compound, null and alternative hypotheses, significance level, power of a test. Tests of the mean and variance of a normal distribution, tests of the population proportion.
Lesson 6: Two-sample hypothesis tests.
Independent and dependent samples. Comparing proportions, means and variances: confidence intervals and tests of statistical hypotheses.