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In 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. 86 87 x (chord length in mm) 78 74 78 82 85 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 Ho. 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 Ho. 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 H. 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 Ho. We have convincing evidence that the increase in cranial capacity associated with a 1-mm increase in chord length is not 20 cm³.

In 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. 86 87 x (chord length in mm) 78 74 78 82 85 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 Ho. 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 Ho. 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 H. 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 Ho. We have convincing evidence that the increase in cranial capacity associated with a 1-mm increase in chord length is not 20 cm³.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.4: The Pythagorean Theorem
Problem 2E: Use theorem 5.4.2 to form a proportion in which SV is a geometric mean. Hint: SVTRVS Exercises 1-6
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In 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. 86 87 x (chord length in mm) 78 74 78 82 85 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 Ho. 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 Ho. 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 H. 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 Ho. We have convincing evidence that the increase in cranial capacity associated with a 1-mm increase in chord length is not 20 cm³.
Transcribed Image Text:In 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. 86 87 x (chord length in mm) 78 74 78 82 85 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 Ho. 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 Ho. 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 H. 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 Ho. We have convincing evidence that the increase in cranial capacity associated with a 1-mm increase in chord length is not 20 cm³.
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