Q. 49 - The Practice of Statistics for AP

Question

Do women study more than men? We asked the students in a large first-year college class how many minutes they studied on a typical weeknight. Here are

the responses of random samples of $30$ women and $30$ men from the class:

(a) Examine the data. Why are you not surprised that most responses are multiples of 10 minutes? Are there any responses you consider suspicious?

(b) Make a back-to-back stem plot to compare the two samples. Does it appear that women study more than men (or at least claim that they do)? Justify your answer.

Step-by-Step Solution

Answer

Part (a) One female is quite suspicious.

Part (b) It appears that females study more than men. 

Step 1: Given informtion

The table is 

		Women
180	120	180	360	240
120	180	120	240	170
150	120	180	180	150
200	60	120	180	180
120	60	120	180	180
90	240	180	115	120

		Men
90	120	30	90	200
90	45	30	120	75
150	120	60	240	300
240	60	120	60	30
30	230	120	95	150
0	200	120	120	180

Part (a) Step 2: Concept

The peak of the dot plot is at this means that during that season, the team's most common number of goals scored in games (known as the mode) was The United States women's soccer team scored between one and five goals in the majority of its games. The distribution, however, has a large tail to the right.

Part (a) Step 3: Explanation

When students in a big first-year college class were asked how many minutes they spent studying on a typical evening, the answer was surprising. Because they tried to round off their responses to the nearest half-hour, they all responded in multiples of $10$ minutes. One female responded with a time of $360$ minutes, which is highly suspicious and stands out among the present statistics.

Part (b) Step 1: Explanation

The following is a back-to-back stem plot of the data: 

Leaf unit $= 10$

Ten out of thirty female students responded in $180$ minutes, whereas seven out of thirty male students responded in $120$ minutes. Females reach a higher peak than males do. As a result, females appear to study more than males.