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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 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) 78 74 850 775 78 82 83 750 975 915 86 Calculate the test statistic. (Round your answer to two decimal places.) t = 1,015 88 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. Use technology or the Distribution Calculators page in SALT to find the P-value for this test. (Round your answer to four decimal places.) P-value = What can you conclude? O Fail to 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 Reject Ho. We have convincing evidence that the increase in cranial capacity associated with a 1 mm increase in chord length is not 20 cm ³. O Fail to 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. 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.

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 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) 78 74 850 775 78 82 83 750 975 915 86 Calculate the test statistic. (Round your answer to two decimal places.) t = 1,015 88 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. Use technology or the Distribution Calculators page in SALT to find the P-value for this test. (Round your answer to four decimal places.) P-value = What can you conclude? O Fail to 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 Reject Ho. We have convincing evidence that the increase in cranial capacity associated with a 1 mm increase in chord length is not 20 cm ³. O Fail to 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. 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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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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 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. 78 74 78 82 x (chord length in mm) y (capacity in cm³) 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 = 83 850 775 86 750 975 915 88 1,015 1,030 Use technology or the Distribution Calculators page in SALT to find the P-value for this test. (Round your answer to four decimal places.) P-value = What can you conclude? O Fail to 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 cm ³ O Reject Ho. We have convincing evidence that the increase in cranial capacity associated with a 1 mm increase in chord length is not 20 cm ³. Fail to reject Ho. We have convincing evidence that the increase in cranial capacity associated with a 1 mm increase in chord length is not 20 cm 3 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 3 cm.
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 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. 78 74 78 82 x (chord length in mm) y (capacity in cm³) 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 = 83 850 775 86 750 975 915 88 1,015 1,030 Use technology or the Distribution Calculators page in SALT to find the P-value for this test. (Round your answer to four decimal places.) P-value = What can you conclude? O Fail to 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 cm ³ O Reject Ho. We have convincing evidence that the increase in cranial capacity associated with a 1 mm increase in chord length is not 20 cm ³. Fail to reject Ho. We have convincing evidence that the increase in cranial capacity associated with a 1 mm increase in chord length is not 20 cm 3 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 3 cm.
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