Question

coffee tea juice

3	4	5
5	4	3
4	4	4
5	1	2
4	2	2

Do a One-way ANOVA by hand (at least once in your life!) …Is there a difference in attention for those who drink coffee, tea, or juice during an 8 a.m. class? Utilize the five steps of hypothesis testing to analyze the following data (p<.01).

Attention Ratings (1=no attention- 5=full attention)

Answer 1

g

Following table shows the group totals:

	Coffee, G1	tea, G2	juice, G3
	3	4	5
	5	4	3
	4	4	4
	5	1	2
	4	2	2
Total	21	15	16

And following table shows the grand total and total of square of observations:

	G	G^2
	3	9
	5	25
	4	16
	5	25
	4	16
	4	16
	4	16
	4	16
	1	1
	2	4
	5	25
	3	9
	4	16
	2	4
	2	4
Total	52	202

So we have

Now

Now

Now

Since there are 3 different groups so we have k=3. Therefore degree of freedoms are:

-------------

Now

F test statistics is

P-value using excel function "=FDIST(1.41,2,12)" is

p-value: 0.2820

Conclusion:

Conclude that all treatment means are equal.