Investigating the Relation Between Study Hours and Grade

[LAYAN-2008]

This questions aims for you to carry out and report on a statistical investigation and interpret the results.

A teacher at the university claims that the longer a student study for a test, the better his/her grade will be in the test. You are asked by the teacher to investigate this claim.

(a) Classify the problem as one of summarizing, comparing or looking for relationships. [2]
looking for relationships
(b) Pose a precise question to investigate the teacher’s claim. [2]


Is there any relation between number of hours of study and grade ??


The table below shows the number of hours studied for a test and the grade scored in the test for 10 students.
Study Hours 4 6 1 8 9 11 4 7 8 3
Grade 55 72 25 87 94 79 65 71 78 48





(c) Use a method of your choice to analyze the data above, as part of your investigation.
This should include a graphical representation of the data. [3]




(d) Does your analysis support the teacher’s claim? Explain your answer briefly. [3]







(e) Can the results of this investigation be generalized to all students at the university?
Explain your answer. [2]

 

[quantumdude]

This questions aims for you to carry out and report on a statistical investigation and interpret the results.

A teacher at the university claims that the longer a student study for a test, the better his/her grade will be in the test. You are asked by the teacher to investigate this claim.

(a) Classify the problem as one of summarizing, comparing or looking for relationships. [2]
looking for relationships
(b) Pose a precise question to investigate the teacher’s claim. [2]


Is there any relation between number of hours of study and grade ??

Looks good so far. What do you think about the other questions?

 

[Architeuthis Dux]

(a) Classify the problem as one of summarizing, comparing or looking for relationships. [2]
Looking for relationships

(b) Pose a precise question to investigate the teacher’s claim. [2]
Is there a correlation between the number of hours studied for a test and the grade scored on the test?

(c) Use a method of your choice to analyze the data above, as part of your investigation.
This should include a graphical representation of the data. [3]
To analyze the data, I will use a scatter plot. A scatter plot is a graphical representation that shows the relationship between two variables. In this case, the two variables are the number of hours studied and the grade scored on the test. The scatter plot will help visualize any potential relationship between these two variables.

(d) Does your analysis support the teacher’s claim? Explain your answer briefly. [3]
Based on the scatter plot, there does appear to be a positive correlation between the number of hours studied and the grade scored on the test. This means that as the number of hours studied increases, the grade also tends to increase. However, it is important to note that correlation does not necessarily imply causation. There could be other factors at play that influence a student's grade, such as prior knowledge or test-taking skills. Therefore, while the data supports the teacher's claim, it is not definitive proof of a causal relationship.

(e) Can the results of this investigation be generalized to all students at the university? Explain your answer. [2]
The results of this investigation cannot be generalized to all students at the university. This is because the sample size is small and may not be representative of the entire student population. Additionally, the data only includes the performance of 10 students, which may not accurately reflect the performance of all students at the university. To make a more accurate generalization, a larger and more diverse sample size would be needed.