Question

The Scholastic Aptitude Test (SAT) contains three parts: critical reading, mathematics, and writing. Each part is scored on an -point scale. A sample of SAT scores for six students follows.

Student	Critical Reading	Mathematics	Writing
1	524	535	531
2	597	585	588
3	461	465	446
4	556	565	551
5	435	478	432
6	425	453	419

a. Using a .05 level of significance, do students perform differently on the three portions of the SAT?

Source of Variation	Sum of Squares (to whole number)	Degrees of Freedom	Mean Square (to whole number)	(to 2 decimals)	-value (to 4 decimals)
Treatments
Blocks
Error
Total

Answer 1

a)

We use the Excel Data Analysis Tool for ANOVA single factor                          
The null and alternative hypotheses are :                          
Ho :  There is no difference in the performance of the students on the three portions of the SAT                          
Ha :  There is a difference in the performance of the students on the three portions of the SAT                          

Continuing with the test

p-value = 0.8763                  
                  
α = 0.05   5% level of significance              
0.8763 > 0.05                  
that is, p-value > level of significance                  
Hence, we Do Not Reject Ho                  
                  
Conclusion :                  
At 5% level of significance, there DOES NOT EXIST enough statistical evidence to show that                   
there is a difference in the performance of the students on the three portions of the SAT                  
that is                   
There is no difference in the performance of the students on the three portions of the SAT                

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