Crowded Testing A recent study (Garcia and Tor, 2009) Investigated the possibili

Question

Crowded Testing A recent study (Garcia and Tor, 2009) Investigated the possibility that taking the SAT in a crowded room might be associated with lower scores than taking the SAT in a less crowded room. For each of the 50 states, they examined the average SAT score in the state and the ratio of the number of students who took the exam divided by the number of places in the state in which the exam was given. They found a correlation coefficient of -0.68 a. What are the observational units in this study? O The states Ratio of number of seats to number of test sites Average SAT score Number of seats Number of test sites b. Identify the variables in this study O Average SAT score Ratio of number of seats to number of test sites Number of test sites O O The states O Number of seats c. Are these data observational O No, these data are not observational. O Yes, these data are observational. d. Comment on what the correlation coefficient indicates in this context. The association is This indicates the higher the average SAT score, the the ratio tends to be.

Explanation / Answer

Result:

a). The states ( 50 states are observed)

b).

Average SAT scores

Number of seats

Number of test sites.

( ratio is derived from Number of seats and Number of test sites)

c).

Yes, these data are observational.

d).

The association is negative and moderate.

This indicates the higher the average SAT score the lower the ratio tends to be.

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