Sampling Eye Color Based on a study by Dr. P. Sorita Soni at Indiana University, we know that eye colors in the United States are distributed as follows: 40% brown, 35% blue, 12% green, 7% gray, 6% hazel.a.A statistics instructor collects eye color data from her students. What is the name for this type of sample?b.Identify one factor that might make this particular sample biased and not representative of the general population of people in the United States.c.If one person is randomly selected, what is the probability that this person will have brown or blue eyes?d.If two people are randomly selected, what is the probability that at least one of them has brown eyes?

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Asked Dec 29, 2019
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Sampling Eye Color Based on a study by Dr. P. Sorita Soni at Indiana University, we know that eye colors in the United States are distributed as follows: 40% brown, 35% blue, 12% green, 7% gray, 6% hazel.

a.A statistics instructor collects eye color data from her students. What is the name for this type of sample?

b.Identify one factor that might make this particular sample biased and not representative of the general population of people in the United States.

c.If one person is randomly selected, what is the probability that this person will have brown or blue eyes?

d.If two people are randomly selected, what is the probability that at least one of them has brown eyes?

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Expert Answer

Step 1

a)

Convenience sampling:

Convenience sample is taken by using subjects that are easily available for consideration into the sample.

Step 2

Here, the statistics instructor collects eye color data from her students. That is, the students who are easy to reach are considered as a sample. Thus, this type of sample is considered as a convenience sample.

b)

Bias:

Bias is the state where subjects would be favorable to certain events or things. Bias prevents making impartial judgments.

Here, from part (a), it can be observed that the data is a convenience sample. In the study, they represent the general population of people in the United States and it becomes a bias.

Then, the fact that the students at the college a...

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