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BB Skull Measurements from Different Times Researchers
Chapter 9, Problem 21BB(choose chapter or problem)
Skull Measurements from Different Times Researchers measured skulls from different time periods in an attempt to determine whether interbreeding of cultures occurred. Results are given below (based on data from Ancient Races of the Thebaid, by Thomson and RandallMaciver, Oxford University Press). Use a 0.05 significance level to test the claim that the variation of maximal skull breadths in 4000 B.C. is the same as the variation in A.D. 150. 4000 B.C. ( Maximal Skull Breadth ) : \(\mathrm{n}=30, \mathrm{x}^{-}=131.37 \mathrm{~mm}, \mathrm{~s}=5.13 \mathrm{~mm} \text { A.D. } 150\) ( Maximal Skull Breadth ) : \(\mathrm{n}=30, \mathrm{x}^{-}=136.17 \mathrm{~mm}, \mathrm{~s}=5.35 \mathrm{~mm}\).
Questions & Answers
QUESTION:
Skull Measurements from Different Times Researchers measured skulls from different time periods in an attempt to determine whether interbreeding of cultures occurred. Results are given below (based on data from Ancient Races of the Thebaid, by Thomson and RandallMaciver, Oxford University Press). Use a 0.05 significance level to test the claim that the variation of maximal skull breadths in 4000 B.C. is the same as the variation in A.D. 150. 4000 B.C. ( Maximal Skull Breadth ) : \(\mathrm{n}=30, \mathrm{x}^{-}=131.37 \mathrm{~mm}, \mathrm{~s}=5.13 \mathrm{~mm} \text { A.D. } 150\) ( Maximal Skull Breadth ) : \(\mathrm{n}=30, \mathrm{x}^{-}=136.17 \mathrm{~mm}, \mathrm{~s}=5.35 \mathrm{~mm}\).
ANSWER:
Step 1
The given problem explain about skull measurements.
From the given information we know that we want to test the claim that the variation of maximal skull breadths in 4000 B.C. is the same as the variation in A.D. 150.
Here, first sample is A.D. 150 group because its standard deviation is larger and second sample is 4000 B.C.
Then hypothesis is
H0: 1 = 2
H1: 12
Where 1and2 are the variance of population.
Then the given data is
|
Maximum Skull Breadth |
|
|
A.D. 150 : |
n1=30 x1= 136.17 mm s1=5.35 mm |
|
4000 B.C. : |
n2=30 x2=131.37 mm s2=5.13 mm |