A school experiments with two teaching approaches for mathematics. In one classroom the material is taught using lectures only. In the other classroom lectures are mixed in with the use of manipulatives, computers, and collaborative activities. Do the data below support the claim that students in the classroom with multiple techniques do better. (a=.05)

Question

A school experiments with two teaching approaches for mathematics.  In one classroom the material is taught using lectures only.  In the other classroom lectures are mixed in with the use of manipulatives, computers, and collaborative activities.  Do the data below support the claim that students in the classroom with multiple techniques do better. (a=.05)
 
Lecture​n=20​x=76.0​s=2.1
Multiple​n=32​x=88.5​s=0.4
 Help

PsyDAG · Answer

Number of students in each class?

Z = (mean1 - mean2)/standard error (SE) of difference between means

SEdiff = √(SEmean1^2 + SEmean2^2)

SEm = SD/√n

If only one SD is provided, you can use just that to determine SEdiff.

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability of the Z score.