Letecia wishes to study the impact of eating breakfast on academic performance,
ID: 3333566 • Letter: L
Question
Letecia wishes to study the impact of eating breakfast on academic performance, so she randomly selects ONE student from EACH classroom of Cedar Grove High School during the first class of the morning. She asks each of these students if they ate breakfast or not before coming to school, and then asks each of them a series of math questions. She finds that those who ate breakfast typically scored 28% better than those who had not.
What population(s) is she studying?
What type of sampling did she employ?
What variable(s) is she recording?
What type of variable(s) are the ones you listed in part c?
Is this an observational study or a controlled experiment?
Would she be justified in stating that eating breakfast causes an increase in academic performance? Explain.
Explanation / Answer
a)population is all students of cedar grove high school
b) it is a probability sampling. under probability sampling it is simple random sampling. its is a probability sampling because it is known she selects one student from each class. it is a random sampling because toto select that student from class she does not follow any particular procedure or filters.
c) the variable she is recording is - academic performance, breakfast(y/n)
d)acedemic performence is a numeric variable and breakfast(y/n) is a categorical variable.
e) this is a controlled experiment because she is seeing the effect of breakfast(y/n)-> independent variable on academic performance->dependent variable by using the scores on a maths test.
f) she can not claim her findings due to several reasons:
1) sample taken is not the whole representation of population
2) the students are from different levels. age factor and knowledge about the subject might come into play
3) other factors can also influence the result-> gender, IQ
4) there is not a defined confidence level to claim the result.
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