An instructor recommends to students in his introductory statistics class to spend at least 5 hours studying outside class. One of the items on the student survey for this course was "How many hours a week do you study for this class?” The instructor examined the data for men and women separately. Below is the distribution of this variable for the 30 women in the class.Part A: How should the instructor interpret the amount of time that women spend studying for the class? There can be more than one correct answer. Please answer all that apply. Group of answer choicesA majority of women in the class spend less than the recommended number of hours studying although a few women do take the instructors advice.The women in the class study less than the men in the class.If you remove the three women with the highest number of study hours, then the result will show an approximately normal distribution.
Question
An instructor recommends to students in his introductory statistics class to spend at least 5 hours studying outside class. One of the items on the student survey for this course was "How many hours a week do you study for this class?” The instructor examined the data for men and women separately. Below is the distribution of this variable for the 30 women in the class.Part A: How should the instructor interpret the amount of time that women spend studying for the class? There can be more than one correct answer. Please answer all that apply. Group of answer choicesA majority of women in the class spend less than the recommended number of hours studying although a few women do take the instructors advice.The women in the class study less than the men in the class.If you remove the three women with the highest number of study hours, then the result will show an approximately normal distribution.
Solution
To interpret the amount of time that women spend studying for the class, let's analyze each of the provided answer choices:
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A majority of women in the class spend less than the recommended number of hours studying although a few women do take the instructor's advice.
- This statement suggests that most women are not meeting the recommended study time of 5 hours per week, but there are some who do. To verify this, we would need to look at the distribution data. If the majority of the data points are below 5 hours, this statement would be correct.
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The women in the class study less than the men in the class.
- This statement compares the study hours of women to those of men. To validate this, we would need the distribution data for men as well. Without this data, we cannot confirm or deny this statement based on the information provided.
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If you remove the three women with the highest number of study hours, then the result will show an approximately normal distribution.
- This statement suggests that the distribution of study hours for women is skewed due to a few outliers with high study hours. By removing these outliers, the distribution would become approximately normal. To confirm this, we would need to analyze the distribution shape before and after removing the outliers.
Based on the given information, the instructor can interpret the data as follows:
- A majority of women in the class spend less than the recommended number of hours studying although a few women do take the instructor's advice.
- If you remove the three women with the highest number of study hours, then the result will show an approximately normal distribution.
These interpretations are based on the assumption that the distribution data supports these statements. The second statement about women studying less than men cannot be confirmed without additional data on men's study hours.
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