Three products were used in a hot summer to keep the pool chlorine level high. Each product was used in 6 pools, and there was a total of 18 pools in the experiment. The same amount of chlorine was added to each pool (A, B, or C) and the conditions such as pool size, temperature, sun exposure etc. were similar. The chlorine levels (%) were measured and recorded after 24 hours of using the products. The percentages in the table below are the percentage of the chlorine added to the pool remaining after this 24 hours. The data is as follows: A 96 56 52 66 70 60 B 44 36 34 50 40 48 с 34 40 32 22 20 24 a) Find the overall mean of the chlorine level across all the pools measured, and then find the mean of the chlorine level for each product.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Three products were used in a hot summer to keep the pool chlorine level high. Each product was
used in 6 pools, and there was a total of 18 pools in the experiment. The same amount of chlorine
was added to each pool (A, B, or C) and the conditions such as pool size, temperature, sun exposure
etc. were similar. The chlorine levels (%) were measured and recorded after 24 hours of using the
products. The percentages in the table below are the percentage of the chlorine added to the pool
remaining after this 24 hours. The data is as follows:
A
96
56
52
66
70
60
B
44
36
34
50
40
48
с
723227
34
40
20
24
a) Find the overall mean of the chlorine level across all the pools measured, and then find the
mean of the chlorine level for each product.
Transcribed Image Text:Three products were used in a hot summer to keep the pool chlorine level high. Each product was used in 6 pools, and there was a total of 18 pools in the experiment. The same amount of chlorine was added to each pool (A, B, or C) and the conditions such as pool size, temperature, sun exposure etc. were similar. The chlorine levels (%) were measured and recorded after 24 hours of using the products. The percentages in the table below are the percentage of the chlorine added to the pool remaining after this 24 hours. The data is as follows: A 96 56 52 66 70 60 B 44 36 34 50 40 48 с 723227 34 40 20 24 a) Find the overall mean of the chlorine level across all the pools measured, and then find the mean of the chlorine level for each product.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 4 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
e)Write the conclusion based on the ANOVA table.
Transcribed Image Text:e)Write the conclusion based on the ANOVA table.
Solution
Bartleby Expert
SEE SOLUTION
Follow-up Question
d) Perform an ANOVA test using the statistical package of your choice.
Copy and paste the resultant ANOVA table into your assessment document and compare your
calculated residual mean square from part c)
with the residual mean square from this ANOVA table.
Transcribed Image Text:d) Perform an ANOVA test using the statistical package of your choice. Copy and paste the resultant ANOVA table into your assessment document and compare your calculated residual mean square from part c) with the residual mean square from this ANOVA table.
Solution
Bartleby Expert
SEE SOLUTION
Follow-up Question
c) Calculate the residual sum of squares, then find the mean of the residual sum of
squares.
Note: residual mean square= (residual sum of squares) / (residual degrees of freedom)
where, residual degrees of freedom =
(A sample size -1) + (B sample size -1) + (C sample size -1)
Hint: you can use Microsoft Excel, R or SPSS to perform this calculation)
Transcribed Image Text:c) Calculate the residual sum of squares, then find the mean of the residual sum of squares. Note: residual mean square= (residual sum of squares) / (residual degrees of freedom) where, residual degrees of freedom = (A sample size -1) + (B sample size -1) + (C sample size -1) Hint: you can use Microsoft Excel, R or SPSS to perform this calculation)
Solution
Bartleby Expert
SEE SOLUTION
Follow-up Question
b) If each observation is given by the overall mean + product effect + residual, find the
residuals for all above observations and write them in a table. Product effect for
each observation is:
the group mean - the overall mean
So, the product effect is the same for all observations in a group (e.g., A).
(Hint: you can use Microsoft Excel, R or SPSS for this)
Transcribed Image Text:b) If each observation is given by the overall mean + product effect + residual, find the residuals for all above observations and write them in a table. Product effect for each observation is: the group mean - the overall mean So, the product effect is the same for all observations in a group (e.g., A). (Hint: you can use Microsoft Excel, R or SPSS for this)
Solution
Bartleby Expert
SEE SOLUTION
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman