#1. A research group interested in understanding the effect of listening to classical music on learning mathematics conducted a
study. One hundred students were randomly assigned to one of two groups. The first group listened to classical music as they learned a new lesson. The second group learned the same lesson with no music playing. Both groups were tested on the new material to determine how much they learned. The results for the two groups were compared. What kind of study is this? A. This is an observational study because students were randomly assigned to groups.
B. This is an observational study because a treatment was applied to both groups.
C. This is an experiment because a treatment was applied to a group.
D. This is an experiment because students were able to choose which group to join.
#3. ......Angie, a student in an advanced statistics course, was given an algebra test and she scored 80%. Is this an accurate predictor of how well students in the algebra class will perform on the test?
A. Yes, because Angie is representative of the population in the algebra class
B. Yes, because Angie scored high on the test so it must be easy
C. No, because Angie is not representative of the population in the algebra class
The correct answer to the first situation would be letter C. The situation was an experiment because a treatment was applied to the group (which in this case, is the experimental group).
The correct answer to the next question would be letter C. Angie is NOT are representative of the population in the algebra class.
![\begin{tabular} {|c|c|} Statement&Reason\\[1ex] Line m is parallel to line n&Given\\ \angle1\cong\angle2&Corresponding angles\\ m\angle1=m\angle2&Deifinition of Congruent angles\\ \angle2\ and\ \angle3\ form\ a\ linear\ pair&Adjacent angles on a straight line\\ \angle2\ is\ supplementary\ to\ \angle3&Deifinition of linear pair\\ m\angle2+m\angle3=180^o&Deifinition of supplementary \angle s\\ m\angle1+m\angle3=180^o&Substitution Property \end{tabular}](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%0A%7B%7Cc%7Cc%7C%7D%0AStatement%26Reason%5C%5C%5B1ex%5D%0ALine%20m%20is%20parallel%20to%20line%20n%26Given%5C%5C%0A%5Cangle1%5Ccong%5Cangle2%26Corresponding%20angles%5C%5C%0Am%5Cangle1%3Dm%5Cangle2%26Deifinition%20of%20Congruent%20angles%5C%5C%0A%5Cangle2%5C%20and%5C%20%5Cangle3%5C%20form%5C%20a%5C%20linear%5C%20pair%26Adjacent%20angles%20on%20a%20straight%20line%5C%5C%0A%5Cangle2%5C%20is%5C%20supplementary%5C%20to%5C%20%5Cangle3%26Deifinition%20of%20linear%20pair%5C%5C%0Am%5Cangle2%2Bm%5Cangle3%3D180%5Eo%26Deifinition%20of%20supplementary%20%5Cangle%20s%5C%5C%0Am%5Cangle1%2Bm%5Cangle3%3D180%5Eo%26Substitution%20Property%0A%5Cend%7Btabular%7D)
</span>
