As low scores on the problem-solving inventory ( PSI ) indicate high levels of PSC, AAS, PC ( the three factors of the inventory).

My questions are:

1-Do low scores mean low arithmetic means?

2-Does the lowest value of the mean for a certain item within the factor means that the student possesses this trait to a large degree? Is the opposite true? ...

For example; after statistical analysis of the students' responses on item 15, which states “When considering solutions to a problem, I do not take the time to assess the potential success of each alternative” has got the highest mean (mean = 4.25, SD = 1.32), does the statistical mean for this item indicates that students have the lowest level of perception related to this item? the least mean was item 18, which states “When making a decision, I compare alternatives and weigh the consequences of one against the other” (mean = 2.84, SD = 1.82), does the statistical mean for this item indicates that students have the highest level of perception related to this item?

3-Which of the items in the inventory are negative and should be reversed in the statistical analysis?

I also applied the inventory after the study and noticed that the means were decreased in the post applying.

When performing a t-test, it was found that there is a statistically significant difference in total degree of PSI where t = 12.21 in favor of pre-questionnaire, also all t values for the factors were statistically significant in favor of pre-questionnaire.

Is the interpretation of this result correct, and that the perception of their problem-solving level increased after applying the module?

Thank you very much for deducting your valuable time in informing me.