A random sample of males who finished the marathon is partitioned into three cat
ID: 3060455 • Letter: A
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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