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 1.4 1.2 9.3 8.1 With additive "X" 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.)
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 1.4 1.2 9.3 8.1 With additive "X" 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.)
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
Related questions
Question
Transcribed Image Text:High A RANDOM <- High A[sample(nrow(High_A),5),
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
1.4
With
additive "X"
1.2
9.3
8.1
10.8
8.8
10.75
Ethanol
10
8.5
9.2
10.2
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.)
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Follow-up Question
Transcribed Image Text:b) Run an ANOVA test using the statistical software package of your choice to
compare solvability of solvents before adding solution "X".
Note: create a subset of the data to separate "with additive x" and "without additive
x", to allow analysis of just one group.
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
by Bartleby ExpertFollow-up Question
Transcribed Image Text:b) Run an ANOVA test using the statistical software package of your choice to
compare solvability of solvents before adding solution "X".
Note: create a subset of the data to separate "with additive x" and "without additive
x", to allow analysis of just one group.
Solution
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