t and pvalue please

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 74E
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t and pvalue 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)
y (capacity in cm³)
t =
USE SALT
78 74
850 775
78 82
83
86
87
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 =
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) t = USE SALT 78 74 850 775 78 82 83 86 87 750 975 915 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 =
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