1. We wish to assess the effect of three different track surfaces on sprinter sp
ID: 3311286 • Letter: 1
Question
1. We wish to assess the effect of three different track surfaces on sprinter speed. Six world-class sprinters are asked to run five 100m dashes on each of the three track surfaces. Their average times are recorded below.
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.
Explanation / Answer
Solution:-
State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.
Null hypothesis: 1 = 2 = 3
Alternative hypothesis: At-least one of the is not equal.
Formulate an analysis plan. For this analysis, the significance level is 0.05.
Analyze sample data.
F statistics is given by:-
F = 0.119
Fcritical = 4.10
The P-value = 0.889
Interpret results. Since the P-value (0.889) is greater than the significance level (0.05), we have to accept the null hypothesis.
Conclusion:-
Do not Reject H0, There is not sufficient evidence for significant differences between the three surfaces.
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