Conduct a hypothesis test to determine if these data provide convincing evidence that the average weight of chicks varies across some (or all) groups. Figures and summary statistics are shown below. Test to see if there is a difference between mean weight of chicks between at least two of the diets using overall a = 0.05.
Conduct a hypothesis test to determine if these data provide convincing evidence that the average weight of chicks varies across some (or all) groups. Figures and summary statistics are shown below. Test to see if there is a difference between mean weight of chicks between at least two of the diets using overall a = 0.05.
MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:150 -
100
casein
horsebean linseed
meatmeal soybean
sunflower
Mean
SD
n
casein
323.58
64.43
12
horsebean
160.2
38.63
10
linseed
218.75
52.24
12
meatmeal
276.91
64.9
11
soybean
246.43
54.13
14
sunflower
328.92
48.84
12
What are the hypotheses for this test?
Ho: At least one pair of means is the same
Ha: Hc = Ph = H = Pm = Psoy = Hsun
%3D
%3D
%3D
%3D
O Ho: Hc = Hh = HL = Hm = Psoy = Hsun
Ha: Pc * Ph * H # Pm * Psoy # Hsun
%3D
O Ho: Hc = Ph = Hi = Pm = Psoy = Hsun
H: At least one pair of means is different
The test statistic for the hypothesis test is:
(please round to two decimal places)
The p-value for the hypothesis test is:
(please round to four decimal places)
Interpret the result of the hypothesis test in the context of the study:
O Since p < a, we reject the null hypothesis and accept that the mean weight of chicks is different for
each type of diet
O Since p < a, we reject the null hypothesis and accept that the mean weight of chicks is not the same
across all of the diets
Since p = 0, there is no chance that the mean weight of chicks is the same across all of the diets
%3D
Since p > a, we fail to reject the null hypothesis and accept that the mean weight of chicks is the same
across all of the diets
Transcribed Image Text:Chicken diet and weight: Compare the effects of six types of feed: casein, horsebean, linseed, meat meal,
soybean, and sunflower. The ANOVA output below can be used to test for differences between the mean
weights of chicks on different diets.
df
Sum Sq
Mean Sq
F value
Pr(>F)
feed
5
231129.16
46225.83
15.36
0.0000
residuals
65
195556.02
3008.55
Conduct a hypothesis test to determine if these data provide convincing evidence that the average weight of
chicks varies across some (or all) groups. Figures and summary statistics are shown below. Test to see if there
is a difference between mean weight of chicks between at least two of the diets using overall a = 0.05.
400
350-
300 -
250
200
150 -
100
casein
horsebean linseed meatmeal soybean sunflower
Mean
SD
casein
323.58
64.43
12
horsebean
160.2
38.63
10
linseed
218.75
52.24
12
meatmeal
276.91
64.9
11
soybean
246.43
54.13
14
sunflower
328.92
48.84
12
Weight (in grams)
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