The values in the table below are measured maximum breadths (in millimeters) of
ID: 3060501 • Letter: T
Question
The values in the table below are measured maximum breadths (in millimeters) of male skulls from different epochs. Changes in head shape over time suggest that interbreeding occurred with immigrant populations. Use a 0.05 significance level to test the claim that the different epochs all have the same mean.
4000 B.C 1850 B.C. 150 A.D.
131 129 128
138 134 138
125 136 138
129 137 139
132 137 141
135 129 142
132 136 135
134 138 145
136 134 137
Find the P-value
(round to three decimal places as needed)
Test the claim that the different epochs all have the same mean.
There is sufficient evidence to reject the claim that the different epochs have the same mean.
There is NOT sufficient evidence to reject the claim that the different epochs have the same mean.
Explanation / Answer
The statistical software output for this problem is:
Analysis of Variance results:
Data stored in separate columns.
Column statistics
ANOVA table
Hence,
P - value = 0.022
There is sufficient evidence to reject the claim that the different epochs have the same mean.
Column n Mean Std. Dev. Std. Error 4000 B.C. 9 132.44444 3.9086798 1.3028933 1850 B.C. 9 134.44444 3.3582403 1.1194134 150 A.D. 9 138.11111 4.8074017 1.6024672Related Questions
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