please provide explanation aswell if possible, thank you so much! Use the following description for Questions 5-6.Three different washing solutions are being compared to study their effectiveness in retarding bacteria growth in five-gallon milk containers.The analysis is done in a laboratory, and only three trials can be run on any day. Because days could represent a potential source ofvariability, the experimenter decides to use a model that reduces experimental error (and hence increases precision) by grouping days intoblocks. Observations are taken for four days, values in table below show measurement of effectiveness (bacteria growth rate after using thesolution) for each day and solution type.Days2Solution141132218391624174454122Question 5)Select the correct statement below.We should use a randomized block design using a two-way ANOVA model without an interaction term between Solution and Day andwith a blocking factor for Days.We should use a randomized block design using a two-way ANOVA model without an interaction term between Solution and Day andwith a blocking factor for Solution.We should use a randomized block design using a two-way ANOVA model without an interaction term between Solution and Day andwith a blocking factor for Bacteria growth.We should use a one-way ANOVA using Solution as the Factor.

Answered: Question 5) Select the correct…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

please provide explanation aswell if possible,

thank you so much!

Use the following description for Questions 5-6.
Three different washing solutions are being compared to study their effectiveness in retarding bacteria growth in five-gallon milk containers.
The analysis is done in a laboratory, and only three trials can be run on any day. Because days could represent a potential source of
variability, the experimenter decides to use a model that reduces experimental error (and hence increases precision) by grouping days into
blocks. Observations are taken for four days, values in table below show measurement of effectiveness (bacteria growth rate after using the
solution) for each day and solution type.
Days
2
Solution
1
4
1
13
22
18
39
16
24
17
44
5
4
1
22
Question 5)
Select the correct statement below.
We should use a randomized block design using a two-way ANOVA model without an interaction term between Solution and Day and
with a blocking factor for Days.
We should use a randomized block design using a two-way ANOVA model without an interaction term between Solution and Day and
with a blocking factor for Solution.
We should use a randomized block design using a two-way ANOVA model without an interaction term between Solution and Day and
with a blocking factor for Bacteria growth.
We should use a one-way ANOVA using Solution as the Factor.

Expert Solution

Step 1

The main objective of an ANOVA (one-way) is to compare the means of more than two means to identify whether there is a statistically significant difference in the means. Additionally, for two-way ANOVA, three or more populations can be compared based on the means of two different factors.

Moreover, for ANOVA all observations used are independent. But when measuring some observations on the same individuals, then they are no longer independent and therefore, ANOVA cannot be used anymore.

In this case observations are taken for four days to measure of effectiveness (bacteria growth rate after using the solution) for each day when solution type is given.