6. While conducting a one-way ANOVA comparing three salary/experience group Use
ID: 3226817 • Letter: 6
Question
6. While conducting a one-way ANOVA comparing three salary/experience group Use the Salary/Experience data set. At the 0.05 significance level, is there a difference in mean salary among the experience groups of the employees? High Level Experience: employees with 10 or more years of experience in the field Moderate Experience: employees with 6 to 9 years of experience in the field Low Experience: employees with 5 or less years of experience in the field with following observation in table, give appropriate hypotheses. Construct ANOVA table and find the value of F and conclusion? Fcrt = 3.0576 , p-value = 0.00005
group count sum average variance H EXP sal 48 3255 67.8 84.9 M EXP sal 57 4059 71.2 111.7 L EXP sal 45 3431 76.2 117.2Explanation / Answer
F stat =8.911
p value =0.00022
as p vlaue is less then 0.05 level ;l we conclude that At the 0.05 significance level there is a difference in mean salary among the experience groups of the employees
i ni Xi Si^2 ni*(Xi-mean)^2 (n1-1)*Si^2 1 48 67.8 84.9 742.613 3990.3 2 57 71.2 111.7 16.213 6255.2 3 45 76.2 117.2 897.800 5156.8 mean 71.733 1656.627 15402.300 MSG MSE Source of variation SS df MS F P value F crit Between groups 1656.627 2 828.313 8.911 0.00022 3.057621 with in groups 15402.300 147 92.950 total 17058.927 149Related Questions
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