A human resources director for a large company is interested in studying the nat

Question

A human resources director for a large company is interested in studying the nature of families across the United States in order to advise the Board of Directors on where a new branch office should be located. One issue is whether there is a difference in the mean age at which a person's first child is born that is due to the part of the country in which the person lives.

An ANOVA was performed examining 9 regions in the United States: E. North Central, E. South Central, Middle Atlantic, Mountain, New England, Pacific, South Atlantic, W. South Central, and W. North Central. The results are shown in the ANOVA table below:

Calculate the F statistic to two decimal places.

Explanation / Answer

Source of variation

F statistics=98.626/33.778

               =2.92

Excel data

Source of variation

SS df MSS F     P value Fcritical between group 789 8 98.625 2.92 0.000358 2.521311 Within group 44216 1309 33.778 Total 1446982 1317

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