You have two sets scores representing the SAT scores of two groups of students.
ID: 3203548 • Letter: Y
Question
You have two sets scores representing the SAT scores of two groups of students. The distribution of scores do not overlap at all - in other words, every single one of the SAT scores in the first group is higher than every single one of the SAT scores in the second group, without any exceptions. Also, no two individual in either sample have the same SAT scores. Suppose you take the person with the highest score in the second group and move that person to the first group. For the following questions, decide if the listed statistic increase, decrease, stays the same, or if there is not enough information to tell. No need to explain your answers. What happens to the number of people in the first group? What happens to the number of people in the second group? What happens to the range of the first group? What happens to the range of the second group What happens to the mean of the group? What happens to the mean of the second group? Now imagine a new scenario. You have the same two distributions you started with before, where every single one of the SAT scores in the first group is higher than every single one of the SAT scores in the second group, without any exceptions. and no two individual in either sample have the same SAT scores. Suppose you now take the person with the highest score in the first group and move that person to the second group. For each following, decide if the listed statistic increase, decrease, stays the same, or if there is not enough information to tell. Again, no need to explain your answers. What happens to the number of people in the first group? What happens to the number of people in the second group? What happens to the range of the first group? What happens to the range of the second group? What happens to the mean of the first group? What happens to the mean of the second group?Explanation / Answer
(A)
The number of the people in the first group will increase.
( B )
The number of people in the second group will decrease.
( C )
The range of the first group will increase.
( D )
The range of the second group will decrease.
( E)
The mean of the first group will decrease.
(F)
The mean of the second group will decrease.
( G )
The number of the people in the first group will decrease.
( H )
The number of people in the second group will increase.
( I )
The range of the first group will decrease.
( J )
The range of the second group will increase.
( K )
The mean of the first group will decrease.
( L )
The mean of the second group will increase.
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