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.
