Submit an R notebook with comments, code, and results. An experiment was devised to test the effects of running 3 differ

[answerhappygod]

Submit an R notebook with comments, code, and
results.
An experiment was devised to test the effects of running 3
different types of gasoline with 3 possible types of additives. The
experiment called for 9 identical motors to be run with 5 gallons
for each of the pairs of gasoline and additives. The following data
resulted.
Gasoline
Additive 1
Additive 2
Additive 3
1
124.1
131.5
127
2
126.4
130.6
128.4
3
127.2
132.7
125.6
a): Test the hypothesis that the gasoline used does not affect
the mileage.
b): Test the hypothesis that the additives are equivalent.
c): What assumptions are you making?
To allow for the possibility of an interaction effect between
gasoline and additive, it was decided to run 36 motors — 4 in each
grouping. The following data resulted.
Gasoline
Additive 1
Additive 2
Additive 3
1
124.1
131.5
127
2
126.4
130.6
128.4
3
127.2
132.7
125.6
1
124.5
131.2
126.8
2
126.1
130.2
128.5
3
127
133.1
125.7
1
123.9
131.2
127.1
2
126.4
130.4
128.2
3
127.2
133.3
125.3
1
124.4
131.1
126.6
2
126.2
130.1
128.4
3
127.1
133.2
125.5
a) (Specify the average value for each gasoline.
b): Specify the average value for each additive.
c) Specify the gasoline and additive combination that produced
maximum value and minimum value on average
d) Do the data indicate an interaction effect? Justify your
answers with numerical calculations and explain the results (max 5
sentences)
e) Do the gasoline appear to give equal results? Justify your
answers with numerical calculations and explain the results (max 5
sentences)
f) Test whether or not there is an additive effect or whether
all additives work equally well. Justify your answers with
numerical calculations and explain the results (max 5
sentences)
g) Specify your final model
h) You are tasked to choose the gasoline and additive
combination that will produce the maximum value. Which one will you
choose? Justify your answer.