The next installment for AP Statistics with a brand new question review
As we continue with the question reviews for our AP subjects, we come back to an old friend of ours: AP Statistics. In the previous post we had about AP Statistics, we covered the concept of linear regression and linear fitting of data points. This time, the post covers the concept of random sampling and when how exactly is it applicable. As you'll see from the following question, who you sample matters.
A simple random sample of all teachers in the 9th to 12th grades in New York is taken to better understand teaching practices and increase annual statewide examination scores. The survey results are safely generalizeable to whom?
Your answer choices are:
- To all teachers in the United States
- To all teachers for the 9th grade in the United States
- To all teachers for the 9th to 12th grades in the United States
- To all teachers in New York
- To all teachers for the 9th to 12th grades in New York
Who you sample matters, as that will affect how you apply the results of your sample. It wouldn't make sense to apply the results of your sample to all the teachers in the United States beucase the teachers you sampled only represent 4 grade levels, so teaching practices from 9th-12th grade are vastly different from K-8. For this same logic, you can also eliminate the choice To all teachers in New York, because even though you are narrowing the scope to New York, you still run into the issue of grade levels outside your initial sample scope.
Overall, the results of your sample can only be safely applied to the bounds and demographic that were established in the initial random sample. In this case, since the initial random sample was for high school teachers (9th-12th) in New York, the results are the most representative of the same demographic.
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Image Source: http://en.wikipedia.org/wiki/Sampling_%28statistics%29