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.

Short Answer

Expert verified

Part (a) One female is quite suspicious.

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

Step by step solution

01

Given informtion

The table is



Women

180120180360240
120180120240170
150120180180150
20060120180180
12060120180180
90240180115120


Men

901203090200
90453012075
15012060240300
240601206030
3023012095150
0200120120180
02

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.

03

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.

04

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.

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