Question

between-subjects t-test

A math teacher was interested in determining performance as a function of time of day during morning and evening classes. He recruited twenty students to participate: 10 were randomly assigned to participate in the morning class (8am), and the other 10 students were assigned to the afternoon class (3pm).

Data Set:

Student	Morning	Afternoon
1	50
2	34
3	43
4	65
5	60
6	54
7	45
8	54
9	45
10	75
11		43
12		53
13		67
14		65
15		78
16		50
17		54
18		45
19		65
20		45

Answer 1

Let the morning group be 1 and afternoon group be 2. Then,

Assumption: Homogeneity of variance in the two populations.

df = n1+n2-2

= 18

p-value = 0.4576 > 0.05 I.e. we fail to reject H0 and hence we can't say that performance is dependent on the time of the day.

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