question 1 total 13 marks a principal of a special school is intereste

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Question 1: [Total: 13 marks]
A principal of a special school is interested in knowing more about the behavioural problems
of students in his school. To compare how behavioural problems may differ across age
groups, he samples a group of students from Grade 1, Grade 3, and Grade 5 respectively. For
each participant, their extent of behavioural problems is assessed using an established
standardized measure - this measure can be taken as an interval scale, with higher scores
reflecting more behavioural problems.
Below are the data from the respective Grade 1, Grade 3, and Grade 5 students that the
principal has sampled.
Grade 1
Grade 3
Grade 5
45
46
36
36
38
59
36
25
50
29
39
37
37
32
51
24
a. State the appropriate statistical test(s) to use, to examine the omnibus hypotheses of
the principal's research question. [1 mark]
b. State the omnibus null and alternative hypotheses of the test(s) [2 marks]/nAssignment 3
c. Conduct the appropriate statistical test(s) by hand-calculation to address the principal's
research question. Show your calculation steps, and decide whether to reject the
omnibus null hypothesis or not, using an alpha criterion of 5%, based on your
calculations. For this question, there is no need to conduct further post-hoc tests
even if the omnibus null hypothesis is rejected. (There is also no need to report the
findings in APA format for this question.) [10 marks]