Question

a soical psychologist is interested in weather the type of music a college student is listening to will have any effect on the number of beers the student drinks. fifteen college students were randomly assigned to one three listening conditions, and each students beer consumption was covertly recoreded during trips to three diffrent taverns that played the type of muisc to which the student was assigned. the data are shown in the table. is there are relationship between type of muisc and how much a student drinks? conduct the 6 steps of the hypothris testing process.

Table:Music and Drink

Rock and roll/// Acid Rock /// Easy Listening

4 8 2

3 4 4

5 6 2

Answer 1

Hypotheses are:

H0: There is no relationship between type of music and how much a student drinks.

Ha: There is a relationship between type of music and how much a student drinks.

Let level of significance is:

Since there are 5 different groups so we have k=3. Therefore degree of freedoms are:

Total number of observations; N = 3+3+3 = 9

The critical value of F using excel function "=FINV(0.05,2,6)" is 5.143.

Rejection region:

If F > 5.143, reject H0

Calculations for test statistics:

Following table shows the calculations:

	G1	G2	G3
	4	8	2
	3	4	4
	5	6	2
Total	12	18	8

And

	G	G^2
	4	16
	3	9
	5	25
	8	64
	4	16
	6	36
	2	4
	4	16
	2	4
Total	38	190

So we have

Now

Now

Now

F test statistics is

Conclusion:

Since F does not lie in the rejection region so we fail to rejection region.

That is we cannot conclude that there is a relationship between type of music and how much a student drinks.