In preparing for a test and a set of material, is it better to study one topic a
ID: 3250312 • Letter: I
Question
In preparing for a test and a set of material, is it better to study one topic at a time or study topics mixed together? In one study a sample of fourth-graders were taught for equations. Half of the children learn by studying repeated examples of when equation at a time, while the other half study mix problem sets that included examples of all four types of calculations grouped together. A day later, all the students were given a test on the material. The students in the mixed practice group had an average grade of 77, While the students in the one at a time group had an average of 38. What is the best estimate for the difference in the average grade between fourth grade students whostudied mixed problems and those who study each equation independently?(a) Give the notation (as a difference with a minus sign) for the quantity we are trying to estimate. Let group 1 be the fourth-grade students who study mixed problems and let group 2 be the fourth-grade students who study each equation independently P2 p The notation is
Explanation / Answer
a. One is trying to test the difference between mean grades of mixed problem group and each equation independent group, therefore, the correct notation is mu1-mu2, where, mu is population mean, and 1 and 2 denotes the groups respectively.
b. The best estimate for difference between mu1-mu2 is is x1bar-x2bar, where, xbar denotes the sample mean, and 1 and 2 denote the groups respectively.
c. The value of best estimate is: x1bar-x2bar=77-38=39 (ans)