*12.4 Suppose that in the general population, 70% of veg- etarians are lacto-ovo-vegetarians, whereas 30% are strict vegetarians. Perform a statistical procedure to test whether the contrast L = 0.7ỹ, +0.3ỹ3 – ỹ, is significantly different from 0. What does the contrast mean?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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Researchers compared protein intake among three
groups of postmenopausal women: (1) women eating a
standard American diet (STD), (2) women eating a lactoovo-vegetarian diet (LAC), and (3) women eating a strict
vegetarian diet (VEG). The mean ± 1 sd for protein intake
(mg) is presented in Table 12.29.


TABLE 12.29 Protein intake (mg) among three
dietary groups of postmenopausal
women
Group
Mean
sd
n
STD
75
10
LAC
57
13
10
VEG
47
17
6
Transcribed Image Text:TABLE 12.29 Protein intake (mg) among three dietary groups of postmenopausal women Group Mean sd n STD 75 10 LAC 57 13 10 VEG 47 17 6
*12.4 Suppose that in the general population, 70% of veg-
etarians are lacto-ovo-vegetarians, whereas 30% are strict
vegetarians. Perform a statistical procedure to test whether
the contrast L = 0.7y2 +0.353 – V1 is significantly different
from 0. What does the contrast mean?
Transcribed Image Text:*12.4 Suppose that in the general population, 70% of veg- etarians are lacto-ovo-vegetarians, whereas 30% are strict vegetarians. Perform a statistical procedure to test whether the contrast L = 0.7y2 +0.353 – V1 is significantly different from 0. What does the contrast mean?
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