Question

In: Statistics and Probability

The values in the table below are measured maximum breadths​ (in millimeters) of male skulls from...

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   135   138
125   136   136
129   137   139
132   137   141
135   127   142
132   136   137
134   136   145
138   134   137

Find the​ P-value.

​(Round to three decimal places as​ needed.)

Solutions

Expert Solution

4000BC 1850 BC 150 AD 4000^2 1850^2 150^2
131 129 128 17161 16641 16384
138 135 138 19044 18225 19044
125 136 136 15625 18496 18496
129 137 139 16641 18769 19321
132 137 141 17424 18769 19881
135 127 142 18225 16129 20164
132 136 137 17424 18496 18769
134 136 145 17956 18496 21025
138 134 137 19044 17956 18769
Sum 1194 1207 1243 158544 161977 171853
N 9

Hypothesis test:

P-value: 0.03085

The test statistic is significant and rejects H0. we conclude that the means are different from each other.

orchestra answered 1 year ago
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