Posted Apr 17. Due: WED April 24; but turn in Monday 4/22 for early grading!
This homework set contains several problems that are about the same dataset. First, you will get the dataset from the course site, then you will answer the next 4 questions.
College students at a large state university completed a survey about their academic and personal life. Questions ranged from “How many credits are you registered for this semester?” to “Would you define yourself as a vegetarian?” Four sections of an introductory statistics course were chosen at random from all the sections of introductory statistics courses offered at the university in the semester when the survey was conducted, and the 312 students who completed the survey were students registered in one of the four chosen sections.
In this exercise, we will use a subset of variables from the survey and use the collected data to answer three questions. Note that (1) these are real data, and (2) the symbol * means that this observation is not available (this is known as a “missing value”).
Here are the variables in the data and their meaning:
We will start by answering some questions about the data.
Out of the first ten students in the datafile, how many did better on the verbal portion of the SAT compared to the math portion?
Out of the first ten students in the datafile, how many are at least somewhat vegetarian?
How many hours does the first junior in the datafile who does not own a cell phone spend sleeping in a typical day?
The next step in understanding the problem is addressing the issues of sampling and study design, which have implications on the generalizability of the results and the type of conclusions you can draw from them.
In problems 2-4, you need to carry out an appropriate statistical inference procedure to answer the question.
The mean verbal SAT score of all the students in this university is 580. Is this also the case for all stat students at this university? Note that verbal SAT scores in the U.S. have a standard deviation of 111.
Based on a recent study, roughly 80% of college students in the U.S. own a cell phone. Do the data provide evidence that the proportion of students who own cell phones in this university is lower than the national figure?
Adults in the U.S. average 7 hours of sleep a night. Is this also the mean for all stat students at this university?
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