# Statistics

Civil Engineering

5 ECTS; 1º Ano, 2º Semestre, 15,0 T + 30,0 TP + 15,0 OT

Prerequisites
Not applicable.

Objectives
It is intended that students reach the curricular unit of Probability and Statistics learning the outcomes:
a) recover and consolidate knowledge of Probabilities;
b) acquire knowledge about random variables and about some theoretical distributions of Probability (discrete and continuous);
c) acquire knowledge and develop mathematical skills in the estimation (punctual and interval) and decision, as well as in the study of the relationship between two variables (correlation and linear regression);
d) use the knowledge acquired and the capacities developed to design and implement solutions to various problems applied, on conditions of uncertainty.

Program
1 Probability (axioms and theorems), 2 discrete and continuous random variables; 3 Some theoretical probability distributions (discrete and continuous); 4 Sampling and sampling distributions (mean, variance and sample proportion) 5 Point and interval estimation parameters, 6 parametric hypothesis tests (mean, variance and population proportion); 7 Correlation and simple linear regression.

Evaluation Methodology
Assessment by exam (normal season): written test with all the subjects taught in the course (graded from 0 to 20). The student is approved to the course unit if the final classification, rounded to the units, is equal to or higher than 10 values.

Other periods: written test with all the subjects taught (classified from 0 to 20). The student is approved to the course unit if the classification of this test, rounded to the units, is equal to or higher than 10 values.

Bibliography
- Guimarães, R. e Cabral, J. (2007). Estatística. Lisboa - Portugal: McGraw-Hill
- Gama, S. e Pedrosa, A. (2004). Introdução Computacional à Probabilidade e Estatística. Porto - Portugal: Porto Editora
- Grilo, L. (2013). Probabilidades e Estatística. Conceitos Teórico-Práticos. (Vol. 1). (pp. 02-128). Instituto Politécnico de Tomar, Portugal: Instituto Politécnico de Tomar

Method of interaction
The teaching methodology of this curricular unit consists of theoretical classes with oral exposition, aided with notes and theoretical-practical classes and tutorial orientation, where several exercises that are in the exercise book are solved.

Software used in class
Occasionally, exercises are solved on Excel spreadsheet and the statistical package SPSS.