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1. A researcher has a total of 30 employees who were selected from six different

ID: 3050954 • Letter: 1

Question

1. A researcher has a total of 30 employees who were selected from six different departments. There were five employees from each department. The employees were tested and scored on their knowledge of the firm's organizational structure. The researcher conducted an ANOVA to test whether there were differences between the workers' knowledge among the departments. The sum of squares among the groups was 2790. The total sum of squares was 9990. a. 6 points) Based on the information given, fill in the ANOVA table below. (2 points) Using a 5% level of significance, what is the critical value of F, Faur? c. 1 point) Can the researcher reject the null hypothesis? d.(1 point) Is there sufficient evidence to say that there is a difference in employees' knowledge of the firm's structure? Source of Sum of Squares d.f. Mean Squares FSTAT Variation Among Within Total

Explanation / Answer

a)

b)

FSTAT=1.86, FCRIT=2.62

c)

No because FSTAT is less than FCRIT

d)

No there is not because we do not reject the null hypothesis

Source of Variation Sum of Squares DF Mean Squares FSTAT FCRIT Among 2790 5 558 1.86 2.62 Within 7200 24 300 Total 9990