Question

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A study has been done to test the effect of classical music on the brain. Twenty sixth-grade students were randomly divided into two groups of 10 students, and the same math test was given to these students. The first group of students listened to classical music for 20 minutes right before taking the test, and the other group took the test without listening to the music. The scores are given below. Group with music: 91, 77,58, 89, 83, 78, 74.81, 91 and 88 sample mean = 81 Group without music: 81, 65, 69, 69, 67, 61, 67, 87, 64,81 sample mean = 71.1 Test if the students who listened to classical music before the test scored higher than the other group of students using a = 0.05. What is the correct test to use? $1 = 10.1 S2 = 10.1 a. An F test None of these C A two sample t-test with unequal variances d. o A two sample z-test Oe. A two sample t-test with equal variances

Answer 1

since we are testing if the mean between two groups are different, and subjects in both groups are different; the two groups are independent

Also since the sample standard deviation is approximately equal from given data:

option E is correct

Oe. A two sample t-test with equal variances