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0 1 -1 cannot be determined 5 points QUESTION 5 You are given the following resu

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QUESTION 5

You are given the following results from a program evaluation of three different community policing programs designed to increase police-citizen trust. The scores are from a random sample of citizens who completed one of the three programs (see group scores below).

Between-group sum of squares = 4.333
Within-group sum of squares = 103.5
Total sum of squares = 107.833

Between-group degrees of freedom = 2
Within-group degrees of freedom = 21
Total degrees of freedom = 23

Calculate the F value.

F = 4.33

F = 103.5

F - .00440

F = 0.440



The critical value for the F test at the .05 level of significance is equal to 3.47. Given your result in question 5, which of the following statements is true?

The obtained value for the F test does not exceed the critical value of 3.47 at the .05 level of significance.

The obtained value for the F test does exceed the critical value of 3.47 at the .05 level of significance.

The obtained value for the F test is equal to the critical value of 3.47 at the .05 level of significance.

Cannot determine if the obtained value of F test is greater than the critical value because more information is needed.

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Explanation / Answer

The obtained value for the F test does not exceed the critical value of 3.47 at the .05 level of significance.

SOURCE OF VARIATION SUM OF SQUARES D.F MEAN SUM OF SQUARES FCAL FCRIT BETWEEN GROUPS 4.333 2 2.1665 0.44 3.47 WITHIN GROUPS 103.5 21 4.93 TOTAL 107.833 23