4. Suppose that we want to compare the cholestrol contents of four competing diet foods on the basis of the following data (in milligrams per package) which were obtained for three 6-ounce packages of each of the diet foods: Diet food A: 3.6 4.1 4.0 Diet food B: 3.1 3.2 3.9 Diet food C: 3.2 3.5 3.5 Diet food D: 3.5 3.8 3.8 a) Fill in the blanks below. b) Test at the 0.05 level of significance whether the differences among means obtained for the four competing diet foods (Diet A, B, C, D) are significant? Etable=4.07) $|

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...
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4. Suppose that we want to compare the cholestrol contents of four competing diet foods
on the basis of the following data (in milligrams per package) which were obtained for
three 6-ounce packages of each of the diet foods:
Diet food A: 3.6 4.1 4.0 Diet food B: 3.1 3.2 3.9 Diet food C: 3.2 3.5 3.5 Diet food D:
3.5 3.8 3.8
a) Fill in the blanks below.
b) Test at the 0.05 level of significance whether the differences among means
obtained for the four competing diet foods (Diet A, B, C, D) are significant?
Etable=4.07)
ONE-WAY ANOVA TABLE
Source of
Degrees of
Sum of Squares
Mean Square
F
Variation
Freedom
Treatments
?
0.54
?
?
Error
?
?
?
Total
?
1.18
Transcribed Image Text:4. Suppose that we want to compare the cholestrol contents of four competing diet foods on the basis of the following data (in milligrams per package) which were obtained for three 6-ounce packages of each of the diet foods: Diet food A: 3.6 4.1 4.0 Diet food B: 3.1 3.2 3.9 Diet food C: 3.2 3.5 3.5 Diet food D: 3.5 3.8 3.8 a) Fill in the blanks below. b) Test at the 0.05 level of significance whether the differences among means obtained for the four competing diet foods (Diet A, B, C, D) are significant? Etable=4.07) ONE-WAY ANOVA TABLE Source of Degrees of Sum of Squares Mean Square F Variation Freedom Treatments ? 0.54 ? ? Error ? ? ? Total ? 1.18
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