Chapter 6.1, Problem 31E

To determine

To explain: Whether the students are getting higher marks after joining the chess program. Explain it by providing the statistical evidence.

Answer to Problem 31E

Yes, students are getting higher marks

Explanation of Solution

Given:

The boxplots are:

  

Descriptive statistics:

  

It could be noted the provided boxplots of Pre and Post are overlapping and the difference of Post-pre is falling below 0 which implies that there is no improvement in the scores of the all students after joining the chess programs.

It could be also noted that the median and mean of difference are non-negative which implies the improvement in the scores. Thus, it could be said that there is improvement in the scores of the students after joining the chess programs but not of the majority of the students.

It could be concluding that before of the chess students are obtaining higher reading scores.