# Statistics I

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### Objectives

To acquire knowledge on the basic concepts of descriptive statistics and statistical inference to be used throughout the course of Economics. It is intended that the student knows and knows to apply: the appropriate statistical description of the data sets; the concepts of probability and probability distributions; the main probability distributions; the concept of sampling; the parameter estimation; hypothesis tests.

It is intended that students acquire fundamental skills in the field of Descriptive Statistics and Inferential Statistics parametric studies for statistical analysis, including the use of appropriate software (eg, SPSS).

### Program

1.Introduction: Descriptive statistics and statistical inference;

2.Using Graphs to describe data: Categorical and numerical variables.

3.Using Numerical to Describe Data: Measures of: central tendency, variability; Measures of relationships between variables.

4.Elements of Chance: Probability Methods: Probability rules; Bivariate probabilities; Bayes theorem.

5.Discrete Probability Distributions: Probability distributions: Binomial ,Hypergeometric and Poisson; Joint distribution.

6.Continuous Probability Distributions: Normal Distribution and Exponencial Distribution.

7.Distributions of Sample Statistics: Sampling distributions of: sample means; sample proportions and sample variances.

8.Estimation: Confidence interval estimation for: the mean; variance and proportion.

9.Hypothesis Tests: Tests for the population mean and population proportion. Tests of the difference between two normal population means; Tests of the difference between two population proportions.

### Teaching Methodologies

Methodologies based on the exposure of the teacher are applied, sometimes resorting to computer applications. In the theoretical lectures all taught contents are immediately followed by examples of application for a better understanding of such content.

In practical lessons, students are challenged to solve problems and case studies. The teacher monitors students in problem solving, encouraging the discussion of methodologies and results.

### Bibliography

Paul Newbold, William L. Carlson and Betty Thorne, Statistics for Business and Economics., 7ª Edição. 2009.

Pearson Prentice Hall. ISBN -13: 9780136085362.

Rui Campos Guimarães, José A. Sarsfield Cabral, Estatística, 2ª Edição. 2007. McGraw-Hill. ISBN 9788448155896

0103100

6

### Classes

• Teóricas - 30 hours
• Teórico-Práticas - 30 hours

### Evaluation Methodology

• 1st Frequency: 50%
• 2nd Frequency: 50%