An environmental epidemiologist has designed an experiment to test whether the claims of a chemical company that states that two of the company's new chemical compounds have no harmful effect on humans nor living being is true. For this, the epidemiologist takes 12 male rats, divides them into 3 groups of 4, and puts them in 3 chambers: one where no chemical was added to the air, and 2 chambers where 2 different chemical compounds are dissolved in the air, one per chamber, at a low concentration for 24 hours a day for multiple days. After 15 days, the epidemiologist measures blood pressure in the rats. She is interested in assessing whether being exposed to the chemical compounds changes blood pressure in the rats. The table below provides the data and summary statistics. Observation 2 3 s? j=1 No chemical 107.7 Chemical 1 122.3 Chemical 2 107.3 108.5 105.9 113.7 117.5 107.4 46099.6 1.2 126.9 125.0 122.0 59613.6 34.0 102.2 116.8 111.2 111.9 50258.8 50.0 ỹ. =113.8; SST=703.3 and SSE=255.5. (a) State the null and the alternative hypothesis that the epidemiologist wants to assess. Write at least the null hypothesis in mathematical form. (b) What are the assumptions that have to be satisfied in order to use ANOVA? Do you believe they can hold here? The epidemiologist wants to use ANOVA to analyze the data she has collected. (c) Calculate SST..
An environmental epidemiologist has designed an experiment to test whether the claims of a chemical company that states that two of the company's new chemical compounds have no harmful effect on humans nor living being is true. For this, the epidemiologist takes 12 male rats, divides them into 3 groups of 4, and puts them in 3 chambers: one where no chemical was added to the air, and 2 chambers where 2 different chemical compounds are dissolved in the air, one per chamber, at a low concentration for 24 hours a day for multiple days. After 15 days, the epidemiologist measures blood pressure in the rats. She is interested in assessing whether being exposed to the chemical compounds changes blood pressure in the rats. The table below provides the data and summary statistics. Observation 2 3 s? j=1 No chemical 107.7 Chemical 1 122.3 Chemical 2 107.3 108.5 105.9 113.7 117.5 107.4 46099.6 1.2 126.9 125.0 122.0 59613.6 34.0 102.2 116.8 111.2 111.9 50258.8 50.0 ỹ. =113.8; SST=703.3 and SSE=255.5. (a) State the null and the alternative hypothesis that the epidemiologist wants to assess. Write at least the null hypothesis in mathematical form. (b) What are the assumptions that have to be satisfied in order to use ANOVA? Do you believe they can hold here? The epidemiologist wants to use ANOVA to analyze the data she has collected. (c) Calculate SST..
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 28PPS
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Transcribed Image Text:An environmental epidemiologist has designed an experiment to test whether the claims of a
chemical company that states that two of the company's new chemical compounds have no
harmful effect on humans nor living being is true. For this, the epidemiologist takes 12 male
rats, divides them into 3 groups of 4, and puts them in 3 chambers: one where no chemical was
added to the air, and 2 chambers where 2 different chemical compounds are dissolved in the
air, one per chamber, at a low concentration for 24 hours a day for multiple days. After 15 days,
the epidemiologist measures blood pressure in the rats. She is interested in assessing whether
being exposed to the chemical compounds changes blood pressure in the rats. The table below
provides the data and summary statistics.
Observation
1
2
3
4
No chemical 107.7
Chemical 1
Chemical 2
107.3
108.5
105.9
107.4
46099.6
1.2
122.3
102.2
126.9
125.0
113.7
117.5
122.0
59613.6
34.0
116.8
111.2
111.9
50258.8
50.0
ỹ. =113.8; SST=703.3 and SSE=255.5.
(a)
State the null and the alternative hypothesis that the epidemiologist wants to
assess. Write at least the null hypothesis in mathematical form.
(b)
What are the assumptions that have to be satisfied in order to use ANOVA? Do you
believe they can hold here?
The epidemiologist wants to use ANOVA to analyze the data she has collected.
(c)
Calculate SSTR.
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