Question

Round any numerical answers to 3 decimal places.
(13 points)
1. All the

Psychology students at Penn State were mailed a survey and asked to complete it. In the survey, they were asked if they have a mental illness and their current GPA to see if GPA was affected by mental illness. 426 students responded to the survey.

A. Identify the sample. 

B. Identify the population. 

C. Would you consider this a random sample? Why or why not? 

D. Explain whether sampling bias is a potential issue in this study. 

E. Explain whether response bias is a potential issue in this study. 

F. Explain whether non-response bias is a potential issue in this study. 

G. Is this an observational or experimental study? Explain why. 

H. What is the explanatory variable in the study? Is it categorical or quantitative? 

I. What is the response variable in the study? Is it categorical or quantitative? 

J. If the researchers find that those that those with a mental illness have a higher GPA, can you say that having a mental illness causes a higher GPA? Why or why not? 

2. A teacher has 2 sections of Stat 200, with 200 members in each class totaling 400 students. She wants to take a sample of 100 students.

A. Describe how she could perform a simple random sample to pick the 100 students.

B. Describe how she could perform a convenience sample to pick the 100 students.

C. Which sampling method would you recommend that she use? Why?

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