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.

Answer 1

Sol:

Step 1: Hypotheses

H0: µ1 = µ2 = µ3

Ha: at least one µi is different

Step 2: Significance Level α = 0.05

Step 3: Rejection Region Reject the null hypothesis if p-value ≤ 0.05.

Calculations:-

1.Enter data in spss.

2.Go to Analyze-->General liner model-->Univariate

3.Choose dependent and fixed factor.

4.Press Ok button.

5. Output

Conclusion:-

Here p-value is 0.956>0.05

so,We accept the null hypothesis.

At the α = 0.05 significance level, there is enough evidence to conclude that the mean surface is not differs among the six spinter.