SAT question b695711c (Evaluating Statistical Claims Observational Studies And Experiments)

Question

A statistician conducted a study to investigate the relationship between the average number of minutes piano students practiced each week and the percentage of correct notes the students played during a recital. For the study, the statistician selected a sample of $85$ piano students at random from all the piano students in a certain region who were in their second year with their conservatory. The table shows the information for $75$ piano students in this sample who practiced at least $50$ minutes on average each week.

	Percentage of correct notes the students played during a recital
Average number of minutes practiced each week	Less than $50%$	$50%$ to $80%$	Greater than $80%$	Total
$50$ to $150$	$7$	$28$	$5$	$40$
$151$ or more	$3$	$11$	$21$	$35$
Total	$10$	$39$	$26$	$75$

Which of the following is the largest population to which the results of the study can be generalized?

College Board · Accepted Answer

The correct answer is C. Choice C is correct. It’s given that the statistician selected a sample of 85 piano students at random from all piano students in a certain region who were in their second year with their conservatory. It's also given that the table shows the information for 75 piano students in the sample who practiced at least 50 minutes on average each week. Selecting a sample at random from a population allows the results of the study to be generalized to that population, but not beyond it. Therefore, the largest population to which the results of the study can be generalized is the population of all piano students in the region who were in their second year with their conservatory.

Explanation

Why the other choices are wrong

SAT Question b695711c: Evaluating Statistical Claims Observational Studies And Experiments answer and explanation with Desmos solution

Explanation

Why the other choices are wrong