400 B.C. 131 138 125 129 132 135 132 134 138 1850 B.C. 129 134 136 137 137 129 1136 138 134 150B A.C. 128 138 136 139 141 142 137 145 137 Listed on the top are skull breadths obtained from skulls of Egyptian makes from three different epochs( based on the data from Ancient Races of the Thebaid by Thomson and Randall-Maciver). Assume that we plan to use analysis of variance with a 0.05 significance level to test the claim that the different epochs have mean skull breadths that are not all the same. The results from XI.STAT are shown down below.  Source DF Sum of squares Means squares F Pr>F Model 2 138.7407 69.3704 4.0497 0.0305 Error 24 411.1111 17.1296     Corrected Total 26 549.8519        4- Conclusions If the best described in Exercise 1 is conducted with a 0.05 significance level, what should be concluded about the null hypothesis? What do the results suggest about the data?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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400 B.C. 131 138 125 129 132 135 132 134 138
1850 B.C. 129 134 136 137 137 129 1136 138 134
150B A.C. 128 138 136 139 141 142 137 145 137

Listed on the top are skull breadths obtained from skulls of Egyptian makes from three different epochs( based on the data from Ancient Races of the Thebaid by Thomson and Randall-Maciver). Assume that we plan to use analysis of variance with a 0.05 significance level to test the claim that the different epochs have mean skull breadths that are not all the same. The results from XI.STAT are shown down below. 

Source DF Sum of squares Means squares F Pr>F
Model 2 138.7407 69.3704 4.0497 0.0305
Error 24 411.1111 17.1296    
Corrected Total 26 549.8519      

 4- Conclusions If the best described in Exercise 1 is conducted with a 0.05 significance level, what should be concluded about the null hypothesis? What do the results suggest about the data?

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