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Statistical exercises


1. Assuming that the chosen variable of a survey is nominal and the finite population of 600 individuals (where 60% of individuals are women). You want to work with a 5% alpha and a 7% sampling error. Calculate the sample size.

2. Arrange the data below into a frequency distribution table containing the class interval, absolute frequency, accumulated frequency, relative frequency, and accumulated relative frequency.

20,422,323,123,523,824,124,324,324,6
26,025,025,125,325,325,425,625,725,8
26,026,126,226,226,326,526,626,726,8
27,127,127,325,727,727,928,028,328,7

3. Three discus throwers train for the Olympics. Athletes throw their discs 66 meters away (on average), with a standard deviation of 6.1 meters.
How likely is an athlete to throw his disc between 64 and 67 meters?

4. A study was commissioned for evaluation by a higher education entity. For this, a questionnaire was applied and answers were obtained from 110 students.
Indicate:
a) the variable under study;
c) the population under study;
b) the sample chosen;
5. Indicate below which samples are considered good:
a) In a cinema, it was wanted to check what the voting intentions were for the next election. The people interviewed were the ones present
b) To know the opinion about contraceptive methods, it was decided to apply a study in an elementary school, with the students.

5. In a survey conducted in a school, the following indicators were identified:
(1) age
(2) years of study
(3) school year
(4) income
(5) sex
(6) place of study
(7) concept obtained in the last biology test
(8) Number of books you own
a) Of the above variables, which are the quantitative and which are the qualitative?
b) Of the quantitative variables, say which are discrete?

Next: Exercises (continued)