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In anthropological studies, an important characteristic of fossils is craniopacity. Frequently skulls are at least partially decomposed, so it is necessary to use other characteristics to obtain information about cranial capacity. One 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) y (capacity in cm³) 86 87 78 76 78 80 83 850 775 750 975 915 1,015 1,030 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 the data given here strongly contradict prior belief? Use a 0.05 level of significance. Calculate the test statistic. (Round your answer to two decimal places.) t-1.39 x Use technology to find the P-value for this test. (Round your answer to four decimal places.) P-value = 0.2160 X What can you conclude? Fail to reject H. 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. O Reject H. 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. O Fail to 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. O 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.

In anthropological studies, an important characteristic of fossils is craniopacity. Frequently skulls are at least partially decomposed, so it is necessary to use other characteristics to obtain information about cranial capacity. One 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) y (capacity in cm³) 86 87 78 76 78 80 83 850 775 750 975 915 1,015 1,030 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 the data given here strongly contradict prior belief? Use a 0.05 level of significance. Calculate the test statistic. (Round your answer to two decimal places.) t-1.39 x Use technology to find the P-value for this test. (Round your answer to four decimal places.) P-value = 0.2160 X What can you conclude? Fail to reject H. 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. O Reject H. 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. O Fail to 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. O 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.

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 4E: Use theorem 5.4.3 to form a proportion in which TS is a geometric mean. Hint: TVSTSR Exercises 1-6
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In anthropological studies, an important characteristic of fossils is crani pacity. Frequently skulls are at least partially decomposed, so it is necessary to use other characteristics to obtain information about cranial capacity. One 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 76 78 y (capacity in cm³) 850 775 750 80 975 83 86 87 915 1,015 1,030 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 the data given here strongly contradict prior belief? Use a 0.05 level of significance. Calculate the test statistic. (Round your answer to two decimal places.) t = 1.39 x Use technology to find the P-value for this test. (Round your answer to four decimal places.) P-value = 0.2160X What can you conclude? ⒸFail to reject H. 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. O 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. O Fail to 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. O 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.
Transcribed Image Text:In anthropological studies, an important characteristic of fossils is crani pacity. Frequently skulls are at least partially decomposed, so it is necessary to use other characteristics to obtain information about cranial capacity. One 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 76 78 y (capacity in cm³) 850 775 750 80 975 83 86 87 915 1,015 1,030 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 the data given here strongly contradict prior belief? Use a 0.05 level of significance. Calculate the test statistic. (Round your answer to two decimal places.) t = 1.39 x Use technology to find the P-value for this test. (Round your answer to four decimal places.) P-value = 0.2160X What can you conclude? ⒸFail to reject H. 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. O 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. O Fail to 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. O 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.
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