1. All the sections of World Campus Stat 200 were given a survey and asked to co

Question

1. All the sections of World Campus Stat 200 were given a survey and asked to complete it for extra credit. In the survey, they were asked their current GPA and the number of hours they work per week. 80 students responded to the survey.

A. Identify the population.

B. Would you consider this a random sample? Why/why not?

C.Explain whether response bias is a potential issue for this study.

D. If results find that a student's GPA is higher when he or she works more than 20 hours per week, can you say that working more causes a higher GPA?

Explanation / Answer

A. The entire group of individuals about whom, one hopes to learn is known as population. Here, population refer to students of World campus Stat 200.

B. A simple random sample of size n is a sample in which each set of n elements in the population has an equal chance of selection. Since, all the sections of World Campus Stat 200 were given the survey and 80 responded, this refer to a non-random sample. The sample to be a random one, the sample size has to be determined first. That is one should first fix n. Then all the students should be labelled accordingly, suppose, there are 800 students in total. Therefore, they will be labelled 000-799. Then either one should opt for random number generator or random number table to find n number of students and then with help of label identify the names.

C. Anything in a survey design that influences the response falls under the heading of response bias. One common response bias arises from wording or motive of the question which may suggest a favoured response. Here, the students surveyed were told that they are subject to extra credit for the survey. Thus, it may influnece more number of students to complete the survey.

D. This cannot be ascertained that working more causes higher GPA, as there might be other confounding variables that affect the higher GPA. Some possible confounding variables are high IQ, private tutuions at particular professor.

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