Problem 1: Imagine you manufacture paper bags and you want to improve the tensile strength of the bag. You suspect that changing the concentration of hardwood in the bag will change the tensile strength. You measure the tensile strength in pounds per square inch (PSI). So, you decide to test this at 5%, 10%, 15% and 20% hardwood concentration levels. Imagine that you've conducted random trials at each of the four levels of hardwood concentration. The data obtained are presented in the table. Test at 0.05 level of significance whether there are significant differences among the treatments. Hardwood concentration % 5% 10% 15% 20% Obs1 12 14 19 Obs2 8 17 18 25 Obs3 Obs4 15 13 18 19 22 23 11 17 Obs5 9. 19 16 18 Obsó 10 15 18 20

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Help me answer these problems :  One-way ANOVA

Provide the ANOVA Table for each problem. An example ANOVA table is presented below:

Instruction:
Provide the ANOVA Table for each problem. An example ANOVA table is
presented below:
Source of Variation
SS
df
MS
p-value
Between Groups
Within Groups
Total
Problem 1:
Problem 3:
A pharmaceutical company conducts an experiment to test the effect of a
new cholesterol medication. The company selects 15 subjects randomly from a
larger population. Each subject is randomly assigned to one of three treatment
groups. Within each treatment group, subjects receive a different dose of the
new medication. In Group 1, subjects receive 0 mg/day; in Group 2, 50 mg/day;B
and in Group 3, 100 mg/day. The treatment levels represent all the levels of
interest to the experimenter, so this experiment used a fixed-effects model to
select treatment levels for study. After 30 days, doctors measure the cholesterol
level of each subject. The results for all 15 subjects appear in the table below.
Test at 0.01 level of significance whether there are significant differences among
the treatments.
Imagine you manufacture paper bags and you want to improve the tensile
strength of the bag. You suspect that changing the concentration of hardwood
in the bag will change the tensile strength. You measure the tensile strength in
pounds per square inch (PSI). So, you decide to test this at 5%, 10%, 15% and 20%
hardwood concentration levels. Imagine that you've conducted random trials
at each of the four levels of hardwood concentration. The data obtained are
presented in the table. Test at 0.05 level of significance whether there are
significant differences among the treatments.
Hardwood concentration %
5%
10%
15%
20%
Obsl
12
14
19
Obs2
8
17
18
25
Obs3
15
13
19
22
TT
Group 1, 0 mg Group 2, 50 mg Group 3, 100 mg
Obs4
11
18
17
23
Subject1
Subject2
Subject3
Subject4
Subject5
210
210
180
Obs5
19
16
18
240
240
210
Obsó
10
15
18
20
270
240
210
270
270
210
300
270
240
Transcribed Image Text:Instruction: Provide the ANOVA Table for each problem. An example ANOVA table is presented below: Source of Variation SS df MS p-value Between Groups Within Groups Total Problem 1: Problem 3: A pharmaceutical company conducts an experiment to test the effect of a new cholesterol medication. The company selects 15 subjects randomly from a larger population. Each subject is randomly assigned to one of three treatment groups. Within each treatment group, subjects receive a different dose of the new medication. In Group 1, subjects receive 0 mg/day; in Group 2, 50 mg/day;B and in Group 3, 100 mg/day. The treatment levels represent all the levels of interest to the experimenter, so this experiment used a fixed-effects model to select treatment levels for study. After 30 days, doctors measure the cholesterol level of each subject. The results for all 15 subjects appear in the table below. Test at 0.01 level of significance whether there are significant differences among the treatments. Imagine you manufacture paper bags and you want to improve the tensile strength of the bag. You suspect that changing the concentration of hardwood in the bag will change the tensile strength. You measure the tensile strength in pounds per square inch (PSI). So, you decide to test this at 5%, 10%, 15% and 20% hardwood concentration levels. Imagine that you've conducted random trials at each of the four levels of hardwood concentration. The data obtained are presented in the table. Test at 0.05 level of significance whether there are significant differences among the treatments. Hardwood concentration % 5% 10% 15% 20% Obsl 12 14 19 Obs2 8 17 18 25 Obs3 15 13 19 22 TT Group 1, 0 mg Group 2, 50 mg Group 3, 100 mg Obs4 11 18 17 23 Subject1 Subject2 Subject3 Subject4 Subject5 210 210 180 Obs5 19 16 18 240 240 210 Obsó 10 15 18 20 270 240 210 270 270 210 300 270 240
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