Researchers aim to find a topical solution for skin cancer in its early stages to avoid surgery. They believe Curcumin is effective, however, it must be solubilised in a solution as a carrier to be applied on skin. Solvability is one important factor because a solution with higher solvability contains a higher amount of curcumin. For this reason, an experiment was designed by researchers to examine and compare the solvability of 5 popular solutions. Prior to starting the experiment, a company asked the researchers to use and examine their new additive solution "X" by adding the additive to the solutions. The company claims that the additive significantly increases the solvability of the solutions. The researchers test the solvability of their 5 solutions first and then redo all the steps again by adding "X" to their solutions. There are 5 replicates for each solution in each test. The results are displayed in the table below: Water 1.1 Without 1.1 additive "X" 1.3 With additive "X" 1.4 1.2 9.3 8.1 10.8 8.8 10.75 Ethanol 10 8.5 9.2 10.2 9 12.2 9.3 9.8 10.5 11.7 Solvability mg/ml Capryol 9.45 9.2 10.2 8.9 9.5 9.5 8.7 9.1 8.2 8.2 Labrafac 21.85 24.4 23.5 22.65 24.1 27 25.8 28.8 28.4 27.1 Labrasol 52.1 49.95 52 51.8 52.5 49.3 53.2 51.1 48.5 50.2 a) Run a two independent samples t-test in the statistical software package of your choice for before and after adding solution "X" and interpret your finding. Do you think this test can tell us anything about using the additive or not? (just look at the data and write your comment about usefulness of this test.) b) Run an ANOVA test using the statistical software package of your choice to compare solvability of solvents before adding solution "X".
Researchers aim to find a topical solution for skin cancer in its early stages to avoid surgery. They believe Curcumin is effective, however, it must be solubilised in a solution as a carrier to be applied on skin. Solvability is one important factor because a solution with higher solvability contains a higher amount of curcumin. For this reason, an experiment was designed by researchers to examine and compare the solvability of 5 popular solutions. Prior to starting the experiment, a company asked the researchers to use and examine their new additive solution "X" by adding the additive to the solutions. The company claims that the additive significantly increases the solvability of the solutions. The researchers test the solvability of their 5 solutions first and then redo all the steps again by adding "X" to their solutions. There are 5 replicates for each solution in each test. The results are displayed in the table below: Water 1.1 Without 1.1 additive "X" 1.3 With additive "X" 1.4 1.2 9.3 8.1 10.8 8.8 10.75 Ethanol 10 8.5 9.2 10.2 9 12.2 9.3 9.8 10.5 11.7 Solvability mg/ml Capryol 9.45 9.2 10.2 8.9 9.5 9.5 8.7 9.1 8.2 8.2 Labrafac 21.85 24.4 23.5 22.65 24.1 27 25.8 28.8 28.4 27.1 Labrasol 52.1 49.95 52 51.8 52.5 49.3 53.2 51.1 48.5 50.2 a) Run a two independent samples t-test in the statistical software package of your choice for before and after adding solution "X" and interpret your finding. Do you think this test can tell us anything about using the additive or not? (just look at the data and write your comment about usefulness of this test.) b) Run an ANOVA test using the statistical software package of your choice to compare solvability of solvents before adding solution "X".
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:Researchers aim to find a topical solution for skin cancer in its early stages to avoid surgery.
They believe Curcumin is effective, however, it must be solubilised in a solution as a carrier
to be applied on skin. Solvability is one important factor because a solution with higher
solvability contains a higher amount of curcumin. For this reason, an experiment was
designed by researchers to examine and compare the solvability of 5 popular solutions. Prior
to starting the experiment, a company asked the researchers to use and examine their new
additive solution "X" by adding the additive to the solutions. The company claims that the
additive significantly increases the solvability of the solutions. The researchers test the
solvability of their 5 solutions first and then redo all the steps again by adding "X" to their
solutions. There are 5 replicates for each solution in each test. The results are displayed in the
table below:
Without
additive "X"
With
additive "X"
Water
1.1
1.1
1.3
1.4
1.2
9.3
8.1
10.8
8.8
10.75
Ethanol
10
8.5
9.2
10.2
9
12.2
9.3
9.8
10.5
11.7
Solvability mg/ml
Capryol
9.45
9.2
10.2
8.9
9.5
9.5
8.7
oooooooo
9.1
8.2
8.2
Labrafac
21.85
24.4
23.5
22.65
24.1
27
25.8
28.8
28.4
27.1
Labrasol
52.1
49.95
b) Run an ANOVA test using the statistical software package of your choice to
compare solvability of solvents before adding solution "X".
52
51.8
52.5
49.3
53.2
51.1
48.5
50.2
a) Run a two independent samples t-test in the statistical software package of your choice for
before and after adding solution "X" and interpret your finding.
Do you think this test can tell us anything about using the additive or not?
(just look at the data and write your comment about usefulness of this test.)
Note: create a subset of the data to separate "with additive x" and "without additive
x", to allow analysis of just one group.
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Transcribed Image Text:d) Perform a natural log (logarithm base e) transformation of the solvability
data and run the ANOVA test
once again for the same investigation as in parts b and c of this question.
Have the results changed in any way?
Solution
by Bartleby ExpertFollow-up Question
Transcribed Image Text:c) Check whether the assumptions of normality and variance equality are satisfied for
part b of this question.
Use a nonparametric test and compare your finding with that from part b.
Use the residuals from
the ANOVA test and include Q-Q plot and Boxplot.
Solution
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