Chapter PI, Problem 11RE

(a)

To determine

To create a graphical display to compare the two distributions of scores.

Explanation of Solution

In the question, it is given that researchers get students enrolled in the section of Spanish class and the test has been held on the Friday and Monday for this. The graphical display to compare the two distributions of scores is as follows:

(b)

To determine

To write a few sentences about the scores reported on Friday and Monday.

Explanation of Solution

In the question, it is given that researchers get students enrolled in the section of Spanish class and the test has been held on the Friday and Monday for this. The scores on Friday were higher by about $5$ points on average. This is a drop of more than $10\%$ off the average score and shows that students fared worse on Monday after preparing for the test on Friday. The spreads are about the same, but the scores on Monday are a bit skewed to the right.

(c)

To determine

To create a graphical display showing the distribution of the changes in student scores.

Explanation of Solution

In the question, it is given that researchers get students enrolled in the section of Spanish class and the test has been held on the Friday and Monday for this. Thus, a graphical display showing the distribution of the changes in student scores will be as:

(d)

To determine

To describe the distribution of changes.

Explanation of Solution

In the question, it is given that researchers get students enrolled in the section of Spanish class and the test has been held on the Friday and Monday for this. Thus, by looking at the above graph we can say that the changes that is, Friday minus Monday are uni-modal and centered near $4$ points with a spread of about $5$ standard deviation. They are fairly symmetric but slightly skewed to the right. And only three students on Monday had a negative difference.