n anthropological studies, an important characteristic of fossils is cranial cap
ID: 3313756 • Letter: N
Question
n anthropological studies, an important characteristic of fossils is cranial capacity. Frequently skulls are at least partially decomposed, so it is necessary to use other characteristics to obtain information about capacity. One such measure that has been used is the length of the lambda-opisthion chord. An article reported the accompanying data for n = 7 Homo erectus fossils. x (chord length in mm) 78 74 78 81 83 86 87 y (capacity in cm3) 850 775 750 975 915 1015 1030 Suppose that from previous evidence, anthropologists had believed that for each 1-mm increase in chord length, cranial capacity would be expected to increase by 20 cm3. Do these new experimental data strongly contradict prior belief? Use a 0.05 level of significance. Calculate the test statistic. (Round your answer to two decimal places.) t = What is the P-value for this test? (Use a statistical computer package to calculate the P-value. Round your answer to three decimal places.) P-value = What can you conclude? Do not reject H0. We have convincing evidence that the increase in cranial capacity associated with a 1-mm increase in chord length is not 20 cm3. Do not reject H0. We do not have convincing evidence that the increase in cranial capacity associated with a 1-mm increase in chord length is not 20 cm3. Reject H0. We have convincing evidence that the increase in cranial capacity associated with a 1-mm increase in chord length is not 20 cm3. Reject H0. We do not have convincing evidence that the increase in cranial capacity associated with a 1-mm increase in chord length is not 20 cm3.
Explanation / Answer
1) The regression result is:
The p-value is 0,006
Ans: Reject H0. We have convincing evidence that the increase in cranial capacity associated with a 1-mm increase in chord length is not 20 cm3.
Coefficients Standard Error t Stat P-value Intercept -853.571 381.765 -2.236 0.076 Chord Length 21.667 4.706 4.604 0.006Related Questions
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