Question

40 1 363.9 40 1 501.4 40 2 448.2 40 2 914 40 3 532.2 40...

40 1 363.9
40 1 501.4
40 2 448.2
40 2 914
40 3 532.2
40 3 589.8
50 1 810.2
50 1 688.3
50 2 385.4
50 2 790.7
50 3 800.7
50 3 796.2
60 1 376.8
60 1 982
60 2 1049
60 2 589.2
60 3 547.3
60 3 619.3

Age

40

50

60

Fitness 1

363.9

810.2

376.8

501.4

688.3

982

Fitness 2

448.2

385.4

1049

914

790.7

589.2

Fitness 3

532.2

800.7

547.3

589.8

796.2

619.3

1. what is the value of the F test statistic for testing the hypothesis that age, on average, has no effect on running time?

2. what is the value of the F test statistic for testing the hypothesis that fitness, on average, has no effect on running time?

3. what is the value of the f test statistic for testing the hypothesis that the effective age, if any, on running time does not depend on the runners fitness?

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Answer #1
Source SS    df MS F    p-value
Factor 1 17,624.590 2 8,812.2950 0.16 .8558
Factor 2 84,693.623 2 42,346.8117 0.76 .4949
Interaction 1,48,810.287 4 37,202.5717 0.67 .6297
Error 5,00,604.340 9 55,622.7044
Total 7,51,732.840 17

1. 0.76

2. 0.16

3. 0.67

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