1. Statistics is said to be a science that is applied in many areas such as social sciences, medicine, accounting, economics, finance, marketing, and information systems, among others. Explain and present an example of how statistics is used in the area of social science.
2. We define population as the complete set of all individuals, things or events that we want to investigate with respect to a particular situation. We define the sample as a subset of the population. Based on the concepts of population and sample, establish a population and sample that relate to the most recent concert of a famous artist. Next, an example related to UAGM students is presented so that you are clear about what you are going to do in this exercise.

Example:

Population: all

UAGM students from the Caguas Campus

Sample:

UAGM students from the Caguas Campus of the Criminal Justice Program

Part 2

1. Explain in your own words what it means that a sample must be representative of the population.
2. Explain what are the advantages of using a population instead of using the sample when conducting a statistical study.
3. Explain the possible mistakes that can be made when using a sample.
4. Explain what the phrase "infinite population is impossible to determine" means.
5. Sources for obtaining data for a study could be experiments, surveys, and registries. What is the difference between a survey and a record?
6. Determine if the description given corresponds to an observational study or an experiment: In a study with serious moral and legal implications, 400 black men with syphilis did not receive a treatment that would have cured them. The aim of the study was to know the effects of syphilis in black men. Subjects were initially treated with small amounts of bismuth, neoarsphenamine, and mercury, although these treatments were later replaced by aspirin.
7. Identify the type of observational study (cross-sectional, retrospective or prospective) and explain the reason for your selection: A group of doctors from Kennedy Hospital in New York, plans to study the emergency personnel who worked at the scene of the terrorist attacks in the city from New York on September 11, 2001. They plan to study these employees for several years from now.
8. The company Publicaciones Puertorriqueas has commissioned you to conduct a survey of 100 student users of its Programming book. Describe the procedures for obtaining a stratified sample.