Chapter PI, Problem 26RE

(a)

To determine

To describe the W’s for these data: who, what, where, why, when and how.

Explanation of Solution

It is given in the question that the researchers want to study is it a good idea to listen to music when studying for a big test. In a study conducted by some statistics students people were randomly assigned to listen to rap music or no music while attempting to memorize objects pictured on a page. They were then asked to list all the objects they could remember. The five-number summary is given. Thus, the W’s for these data are:

Who: $62$ people who were tested.

What: Music listed to objects remembered.

Where: Not stated.

Why: To see if music helps while studying for tests and if so, what kind?

When: Not stated.

How: Study done by statistics students.

(b)

To determine

To name the variables and classify each as categorical or quantitative.

Answer to Problem 26RE

The variables of the study are: music listened to and objects remembered.

Explanation of Solution

It is given in the question that the researchers want to study is it a good idea to listen to music when studying for a big test. In a study conducted by some statistics students people were randomly assigned to listen to rap music or no music while attempting to memorize objects pictured on a page. They were then asked to list all the objects they could remember. The five-number summary is given. Thus, the variables of the study are: music listened to and objects remembered. The variable music listened to is a categorical variable and the variable objects remembered is a quantitative variable.

(c)

To determine

To create parallel boxplots as best you can from these summary statistics to display these results.

Answer to Problem 26RE

Explanation of Solution

It is given in the question that the researchers want to study is it a good idea to listen to music when studying for a big test. In a study conducted by some statistics students people were randomly assigned to listen to rap music or no music while attempting to memorize objects pictured on a page. They were then asked to list all the objects they could remember. The five-number summary is given. Thus, parallel boxplots as best we can create from these summary statistics to display these results are as:

(d)

To determine

To write a few sentences comparing the performance of the three groups.

Explanation of Solution

It is given in the question that the researchers want to study is it a good idea to listen to music when studying for a big test. In a study conducted by some statistics students people were randomly assigned to listen to rap music or no music while attempting to memorize objects pictured on a page. They were then asked to list all the objects they could remember. The five-number summary is given. Thus, we can say that Rap and Mozart had roughly the same outcome, having at least one person that responded very well to the music. Among the people that did not listen to music they had better average scores all the way around but had a lower maximum score. This shows that certain students do very well certain kinds of music but if the music foes not help their focus a person is better off without music.