Answered: Use technology or the Distribution…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 33PPS

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Question

P VALUE PLEASE

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)	78	74	78	80	83	86	87
y (capacity in cm³)	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 =

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?

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.Fail to 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. Fail to 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 do not 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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