Investigating the Relation Between Study Hours and Grade

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The discussion centers on investigating the relationship between study hours and test grades, prompted by a teacher's claim that increased study time leads to better grades. A precise question posed is whether there is a correlation between the number of hours studied and the grades achieved. Data from 10 students shows varying study hours and corresponding grades, which will be analyzed to determine if the teacher's claim holds true. The analysis will include graphical representation and statistical methods to interpret the results. Generalization of findings to all university students is questioned, highlighting the need for a larger sample size for broader applicability.
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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]
 
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LAYAN-2008 said:
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?
 

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