In: Statistics and Probability
Surface1 Surface2 Surface3
Sprinter1 9.98 10.03 10.01
Sprinter2 10.00 9.99 9.97
Sprinter3 10.04 9.97 10.01
Sprinter4 10.02 10.03 9.99
Sprinter5 9.98 10.00 9.99
Sprinter6 9.94 9.96 9.97
Using the sprinters as blocks, discuss the differences between the track surfaces as suggested by SPSS. Give a statement to be tested, identify the random variables involved and the assumptions you make about them, state the hypotheses to be tested, ask SPSS to run the analysis for you, including a post hoc, and then discuss the outcome. Describe the critical region(s) upon which you base your decisions. Include any SPSS output in your discussion.
Null Hypothesis : There is no significant difference between the sprinters and the surface.
Alternative Hypothesis : There is a significant difference between the sprinters and the surface.
Level of significance : 5%
The significant values obtained for surface and sprinter are 0.889 and .122 respectively but since the values are greatee than 0.05 ( under 5 percent level of significance ) , we accept the null hypothesis.
Hence there ia no significant difference between the sprinter and surface.
And also, there is no need of post hoc.
Post hoc is used only if the values donot accept the null hypothesis.