Anova The following table shows average hours studied per week by class. Use the

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Anova

The following table shows average hours studied per week by class. Use the table to answer the following ANOVA questions. You might want to use Excel to help compute intermediate values but show your work throughout the process of solving the problem in this word document.

What is the value of Xbar T =           ?

What is the value of MSB?=

What is the value of MSW?

If = 0.05, what is the Fcrit for the ANOVA test?

What is the Fstatistic value of this dataset?

Would you accept or reject the null hypothesis (µF = µSoph = µJ = µSen)?

Class Year

n

s

Freshman

14

15

2

Sophomore

18

11

3

Junior

18

17

2

Senior

19

13

1

SUM

                    

Class Year

Xbar

n

s

Freshman

14

15

2

Sophomore

18

11

3

Junior

18

17

2

Senior

19

13

1

SUM

Explanation / Answer

from Excel

H0: µF = µSoph = µJ = µSen =0

H1: atleast one group mean is differ

MSB=71.18

MSE=4.27

F cal=16.67

F critical value at(3,55) df with 5% level is 2.77

Conclusion:

F cal > F critical value we reject the H0. Hence claim is significant.

Source df ss ms f p Between 3 213.55 71.18333 16.67357 0 Error 52 222 4.269231 Total 55 435.5

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