Question

a hypothesis was made that students would preform better at an optimal amount of playtime.

selected 3 classes to be given a certain amount of playtime per day

class 1, 30 minutes of play

class 2, 60 minutes of play

class 3, 120 minutes of play

after 3 months all classes were given standardized tests (n=28) and resulting analysis revealed that SS between=56 and SS total=542

a) what is the value of a1+a2+a3

b) what is the value of a1^2+a2^2+a3^2

c) what are the calculated and tabled values of the f statistic

f calc=

f tabled=

Answer 1

Answer:

Step(1) Statement of hypothesis

H0- There is no difference between the play time of different classes

H1- There is statistically significant difference between the play time of different classes .

Step(2)- using the formula which is given in this screenshot below.

Step(3)- Since we get the following output

Anova Summary
Source	Degree of freedom	Sum of square	Mean square	F calculated	F tabulated
Between Groups	2	56	28	1.44033	3.38519
Within Groups	25	486	19.44
Total:	27	542	20.0741

Since Fcal < F tab we have no enough evidence against the null hypothesis hence we do not reject H0

F cal = 1.44033

F tab = 3.38519

* define a1,a2,a3