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 =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 14PPS
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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) 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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