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 76 78 82 83 86 88 850 775 750 975 915 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.) 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 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 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 cm³. 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.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter29: Tolerance, Clearance, And Interference
Section: Chapter Questions
Problem 20A: Mating parts are shown in Figure 29-16. The pins in the top piece fit into the holes in the bottom...
icon
Related questions
Question
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 76 78 82 83
86
88
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.)
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 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 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 cm³.
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.
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. x (chord length in mm) y (capacity in cm³) 78 76 78 82 83 86 88 850 775 750 975 915 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.) 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 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 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 cm³. 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.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage