## Basic concepts of Statistical Inference

### Teaching unit

### Description

Populations, parameters, variable and esteeming. Censuses and samples. Statistical sampling probabilístico. Basic types of sampling: m.a.s and m.a.s. with reemplacement. Estimation: esteeming punctual, for intervals, statistical confidence. Contrast of hypothesis: void and alternative hypothesis, p-value, significatividad, mistakes type 1 and type 2, effect of the sample size.

### Objectives

To solve simple problems of estimation.

To solve simple problems of hypothesis contrasts and to calculate the sample size to guarantee the precision of the conclusions.

To know and to identify the concepts of population, parameters, censuses, samples, variable and estimators on real problems.

To know and to apply the basic types of statistical sampling to know simple populations.

### Subjects

#### Lecture topics

- Basic Elements in the Statistical Inference
- Sampling. Definitions and basic concepts
- Probability sampling. Sampling techniques in finite populations
- Estimation concepts: sampling distribution, point estimates and confidence intervals
- Hypotesis testing

#### Laboratory topics

- Identification of populations, parameters and variables in real problems.
- Statistical Sampling
- estimation problems
- Testing hypotesis problems