Question

In: Statistics and Probability

If the scores of a group of students who are high in academic achievement (10 individuals)...

If the scores of a group of students who are high in academic achievement (10 individuals) on the academic self-  
efficacy scale are as follows:

120-122-117-102-125-120-108-111-110-115

The scores of a group of students with low academic achievement (12 individuals) on the academic self-effectiveness scale are as follows:

72-69-72-75-77-80-68-75-77-87-70-85

Using spss, how to test the following hypothesis:
There are no statistically significant differences between the mean scores of the sample individuals on the academic self-efficacy scale due to the difference in the achievement level of the students (high - low).

Solutions

Expert Solution

Hence we accept the alternative hypothesis (HA), which is that there are at least two group means that are statistically significantly different from each other

Since p < 0.05, the null hypothesis was rejected confirming no statistically significant differences  between the mean scores of the sample individuals on the academic self-efficacy scale due to the difference in the achievement level of the students (high - low).

However, a balanced design (i.e., same number of subjects in each group) is ideal. Extremely unbalanced designs increase the possibility that violating any of the requirements/assumptions will threaten the validity of the test.


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