A group of researchers conducts a study to determine how the given diet affects weight gain in mice. In this study, there are 3 different diets, a total of A, B, and C. Three kilos were determined for the mice, as the initial weight level of the mice would affect the trial results. Then, a randomly completed block order was applied to a total of 9 mice in the experiment, and it was tried to determine whether there was a difference between the three different diets. The following table gives the weight gain (gr.) in mice. Using the data obtained, determine whether there is a difference between trials for a = 0.05. Beginning Kilo Levels T 11 Oc III 843 100.7 Ho: HA HB =µC H1: At least one uiuj 86.2 Ho: μA = μB = μC =0 H1: At least one ujuj A Ho: HAHBUC H: At least one μ = μ D. Ho: HA= HB =uC H: At least one ujuj 64.5 61.5 B 63.9 59.44 Error squares total: 211.5 Error squares total: 1809.7 211.5 90.4 91.9 Error mean squares: C 104.7 F=9, Ho hypothesis irrefutable. F=8.56, Ho hypothesis Error mean squares: F=15.22, Ho hypothesis is rejected. irrefutable. Trial averages statistically significant difference between there is none Statistically significant difference between trial averages has. Trial averages statistical among an important difference as there is none F=19.56, Ho hypothesis is rejected. Between trial averages a statistically significant there is difference.
A group of researchers conducts a study to determine how the given diet affects weight gain in mice. In this study, there are 3 different diets, a total of A, B, and C. Three kilos were determined for the mice, as the initial weight level of the mice would affect the trial results. Then, a randomly completed block order was applied to a total of 9 mice in the experiment, and it was tried to determine whether there was a difference between the three different diets. The following table gives the weight gain (gr.) in mice. Using the data obtained, determine whether there is a difference between trials for a = 0.05. Beginning Kilo Levels T 11 Oc III 843 100.7 Ho: HA HB =µC H1: At least one uiuj 86.2 Ho: μA = μB = μC =0 H1: At least one ujuj A Ho: HAHBUC H: At least one μ = μ D. Ho: HA= HB =uC H: At least one ujuj 64.5 61.5 B 63.9 59.44 Error squares total: 211.5 Error squares total: 1809.7 211.5 90.4 91.9 Error mean squares: C 104.7 F=9, Ho hypothesis irrefutable. F=8.56, Ho hypothesis Error mean squares: F=15.22, Ho hypothesis is rejected. irrefutable. Trial averages statistically significant difference between there is none Statistically significant difference between trial averages has. Trial averages statistical among an important difference as there is none F=19.56, Ho hypothesis is rejected. Between trial averages a statistically significant there is difference.
MATLAB: An Introduction with Applications
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statistical design of experiments question
![A group of researchers conducts a study to determine how the given diet affects weight gain in mice. In this study, there are 3 different diets, a total of A, B, and C. Three kilos were determined for the mice, as the initial weight level of
the mice would affect the trial results. Then, a randomly completed block order was applied to a total of 9 mice in the experiment, and it was tried to determine whether there was a difference between the three different diets. The following
table gives the weight gain (gr.) in mice. Using the data obtained, determine whether there is a difference between trials for a = 0.05.
Beginning
Kilo
Levels
O
O
a.
b.
I
C.
||
III
D.
84.3
Ho: HA HB =uC
H1: At least one uiuj
100.7
86.2
Ho: μA = μB = μC =0
H1: At least one ujuj
Ho: HAHBUC
H₁: At least one μ = μj
A
Ho: HA HB =μC
H₁: At least one μjuj
B
64.5
61.5
63.9
59.44
Error squares
total: 211.5
Error squares
total: 1809.7
211.5
90.4
91.9
Error mean squares:
C
104.7
F=9, Ho hypothesis
irrefutable.
F=8.56, Ho
hypothesis
irrefutable.
F=15.22, Ho hypothesis
is rejected.
Error mean squares:
Trial averages
statistically significant
difference between
there is none
Statistically significant difference
between trial averages
has.
Trial averages
statistical among
an important difference as
there is none.
F=19.56, Ho hypothesis
is rejected.
Between trial averages
a statistically significant
here is difference.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F318c0970-0b5f-4487-b5d8-d3c64db0d14b%2Feaab2101-efca-4ad9-9eba-2ef098a7758e%2Fh25nei4_processed.png&w=3840&q=75)
Transcribed Image Text:A group of researchers conducts a study to determine how the given diet affects weight gain in mice. In this study, there are 3 different diets, a total of A, B, and C. Three kilos were determined for the mice, as the initial weight level of
the mice would affect the trial results. Then, a randomly completed block order was applied to a total of 9 mice in the experiment, and it was tried to determine whether there was a difference between the three different diets. The following
table gives the weight gain (gr.) in mice. Using the data obtained, determine whether there is a difference between trials for a = 0.05.
Beginning
Kilo
Levels
O
O
a.
b.
I
C.
||
III
D.
84.3
Ho: HA HB =uC
H1: At least one uiuj
100.7
86.2
Ho: μA = μB = μC =0
H1: At least one ujuj
Ho: HAHBUC
H₁: At least one μ = μj
A
Ho: HA HB =μC
H₁: At least one μjuj
B
64.5
61.5
63.9
59.44
Error squares
total: 211.5
Error squares
total: 1809.7
211.5
90.4
91.9
Error mean squares:
C
104.7
F=9, Ho hypothesis
irrefutable.
F=8.56, Ho
hypothesis
irrefutable.
F=15.22, Ho hypothesis
is rejected.
Error mean squares:
Trial averages
statistically significant
difference between
there is none
Statistically significant difference
between trial averages
has.
Trial averages
statistical among
an important difference as
there is none.
F=19.56, Ho hypothesis
is rejected.
Between trial averages
a statistically significant
here is difference.
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