A random sample of males who finished the marathon is partitioned into three cat

Question

A random sample of males who finished the marathon is partitioned into three categories with ages of 21-29, 30-39, and 40 or over. The times (in seconds) are obtained for the selected males. The analysis of variance results obtained from software are below. The significance level is 0.05 in testing the null hypothesis.

Source of variation           SS                df                 MS                  F                  P-Value         F crit    

Between groups        3232063.284        2           1616031.642         0.1237              0.8838       3.0804

Within groups           1410875649       108         13063663.417      

TOTAL                      1414107712       110                                                                                                 

Identify the p-value.

The P-value is ___(round to four decimal places as needed)

Is there sufficient evidence to support the claim that men in the different age categories have different mean times?

a, The large P-value suggest that we should not reject the null hypothesis. The three population means do not appear to be different.

b. The large P-value suggest that we should not reject the null hypothesis. The three population means appear to be different.

c. The large P-value suggest that we should reject the null hypothesis. The three population means to be different.

Explanation / Answer

From the given output,

P - value = 0.8838

The large P-value suggest that we should not reject the null hypothesis. The three population means do not appear to be different.

Option A is correct.

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