Statistics - 3FME1008

Goal(s)

Learning outcomes:

1. Manipulate continuous random variables (probability density function and cummulative distribution function) and determine the law of a variable that is defined as a function of another whose law is known.
2. Determine the expected value and variance of a continuous variable, and know what this represents.
3. Use a software for performing statistical processing on data (ideally R Studio, or even if it is much less powerful, a spreadsheet like Excel or Google Sheets).
4. Carry out a statistical work in its entirety: summarizing a data set using location and dispersion indicators, proposing a model (most often based on a histogram, and validating it using a probability graph), estimating the parameters, exploiting the model by performing probability calculations).
5. Give the realization of a confidence interval for the mean of a normal distribution, and determine what influences its width.
6. Set up a decision-making process based on parcel data to keep a risk under control by using the formalism of hypothesis tests.
7. Determine the p-value of a proportion test using R software and interpret its meaning.

Content(s)

Through three successive problem-based learning (APP) alternating phases of work in groups of 6 to 8 students, phases of personal work on different resources made available through Chamilo, and phases of restructuring on the essential points by the teacher, students must document their degree of achievement of the objectives set.

• APP n°1 targets objectives 1 to 4.
• APP n°2 targets objectives 1 to 5.
• APP n°3 targets objectives 1 to 7.
  At the end of each APP, students must submit an update of their personal assessment in Chamilo and receive formative feedback so that they can improve their production before submitting a final work on which they will be graded.

Basic concepts in mathematical analysis.