Question

Kuya conducted a taste-test study of tofu. He gathered 20 of his friends and took them to various tofu dinners on three Sundays. Firstly, a Chinese tofu dinner. He then asked his friends to rate how much they enjoyed the tofu (from 1 to 10 with 1 = hate it, and 10 = love it). The following Sunday, they went for a Thai tofu dinner and collected their ratings. On the third Sunday, he took these (lucky?) friends to a Vietnamese tofu dinner and collected their ratings. Unfortunately, a couple of his friends were not able to show up to all dinners due to their car washing and shoe shining schedules. Generally speaking, did they enjoy one cuisine more than the other?

Friend	Chinese	Thai	Vietnamese
1	6		8
2	5	7	6
3	6	8	7
4	4	7	9
5	7	9	4
6	5	6	6
7	6	8
8	4	7	7
9	8	6	5
10	7	7	8
11	5	4	9
12	7	5	6
13	6	6	7
14	5	7	4
15	6	5	8
16	7		2
17	5	5	6
18	4	8	7
19	7	4	8
20	4	8	5

The appropriate test for this problem is:

a. one way ANOVA

b. repeated measurements

The obtained statistic is:

a. F = 1.48

b. F = 4.81

c. F = 8.14

d. F = 1.84

The associated p value is:

a. 0.0172527

b. 0.174772

c. 0.175227

d. 0.2058

Decision is:

a. reject the null

b. retain the null

Conclusion is:

a. Chinese wins

b. Thai wins

c. Thai and Vietnamese win

d. no conclusion can be drawn

Answer 1