Question

Hallam, Price, and Katsarou (2002) investigated the influence of background noise on classroom performance for children aged 10-12. In one part of the study, calming music led to better performance on an arithmetic task compared to a no-music condition. Suppose that a researcher selects one class of 18 students who listen to calming music each day, while a second class of 18 students serves as a control group with no music. Accuracy scores are measured for each child. Which hypothesis test would be appropriate for this example?

Answer 1

Sol:

since there are 2 groups tretament and control

and sample sizes are n1=18,n2=18

n1<30,n2<30

perform independent 2 sample t test

subjects are randomly assigned to 2 groups control and treatment

After treatment Accuracy scores are measured for each child. for the 2 groups

A test for differences in means between groups provides evidence for the treatment's effect

Ho:mu1=mu2

Ha:mu1>mu2

mu1-mean accuracu scores for treatment

mu2=mean accuracy scores for control

If null hypothesis is rejected at specified level of significance ,we can conclude that  calming music led to better performance on an arithmetic task compared to a no-music condition

ANSWER:

hypothesis test would be appropriate for this example is

T test for 2 independent samples