3.571 poi QUESTION 23 A hu ian resources director for a large company is interes

Question

3.571 poi QUESTION 23 A hu ian 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: Anova: Single Factor SUMMARY Grou Count Sum Average Variance 251 6174.624.632.49 E. North Central E. South Central 94 21714 23.1 23.04 36 151 3850.5 103 2492.6 25.5 24.2 Middle Atlantic Mountain New England Pacific 29.16 74 1798.2 24.3 28.09 38.44 26.01 3.6 31.36 32.49 90 2205 24.5 South Atlantic 319 7432.7 23.3 W. North Central W. South Central 90 2124 146 3401.8 23.3 ANOVA MS P-value Fcrit Source of Variation Between Groups Within Groups 8 98.625 44216 1309 33.778 789 0.0031 1.945 Total 1446982 1317 Calculate the F statistic to two decimal places QUESTION 24 3.571 points Save An

Explanation / Answer

F Statistic:

F-Ratio = 98.625/ 33.778 = 2.92

Conclusion:
Here F value = 2.92 > F critical value i.e. 1.945 so we reject H0

Correct answer: option (A)

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