Chicken diet and weight. In previous chapter, we compared the effects of two types of feed at a time. A better analysis would first consider all feed types at once: casein, horsebean, linseed, meat meal, soybean, and sunflower. The ANOVA output below can be used to test for differences between the average weights of chicks on different diets. DF Sum Sq Mean Sq F value Pr(>F) feed 231129.16 46225.83 15.36 0.0000 residuals 65 195556.02 Conduct a hypothesis test to determine if these data provide convincing evidence that the average weight of chicks varies across some (or all) groups. Make sure to check relevant conditions. Figures and summary statistics are shown below. 3008.55 400 350- 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 Weight (in grams) ONE 42

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Chicken diet and weight. In previous chapter, we compared the effects of two types
of feed at a time. A better analysis would first consider all feed types at once:
casein, horsebean, linseed, meat meal, soybean, and sunflower. The ANOVA output
below can be used to test for differences between the average weights of chicks on
different diets.
DF
Sum Sq
Mean Sq F value Pr(>F)
feed
231129.16 46225.83
15.36 0.0000
residuals
65 195556.02
Conduct a hypothesis test to determine if these data provide convincing evidence
that the average weight of chicks varies across some (or all) groups. Make sure to
check relevant conditions. Figures and summary statistics are shown below.
3008.55
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
meatmeal
276.91
64.9
11
soybean 246.43
54.13
14
sunflower
328.92
48.84
12
What aro tho hu
Weight (in grams)
O21T2
Transcribed Image Text:Chicken diet and weight. In previous chapter, we compared the effects of two types of feed at a time. A better analysis would first consider all feed types at once: casein, horsebean, linseed, meat meal, soybean, and sunflower. The ANOVA output below can be used to test for differences between the average weights of chicks on different diets. DF Sum Sq Mean Sq F value Pr(>F) feed 231129.16 46225.83 15.36 0.0000 residuals 65 195556.02 Conduct a hypothesis test to determine if these data provide convincing evidence that the average weight of chicks varies across some (or all) groups. Make sure to check relevant conditions. Figures and summary statistics are shown below. 3008.55 400 350- 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 meatmeal 276.91 64.9 11 soybean 246.43 54.13 14 sunflower 328.92 48.84 12 What aro tho hu Weight (in grams) O21T2
What are the hypotheses for this test?
O Ho: Hc = Hh = H = Pm = Psoy = Hsun
Ha: At least one of the means is different
O Ho: µc = Hh = HL = Pm = Psoy = Hsun
Ha: Hc = Hh = Hi = Pm * Hsoy = Hsun
O Ho: µc = Hh = Hi = Pm = Hsoy = Psun
Ha: At least one pair of means is the same
%3D
%3D
%3D
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 average weight of
chicks is different for each type of diet
O Since p < a, we reject the null hypothesis and accept that the average weight of
chicks is not the same across all of the diets
O Since p = 0, there is no chance that the average weight of chicks is the same
across all of the diets
O Since p < a,
chicks is the same across all of the diets
reject the null hypothesis and accept that the average weight of
Transcribed Image Text:What are the hypotheses for this test? O Ho: Hc = Hh = H = Pm = Psoy = Hsun Ha: At least one of the means is different O Ho: µc = Hh = HL = Pm = Psoy = Hsun Ha: Hc = Hh = Hi = Pm * Hsoy = Hsun O Ho: µc = Hh = Hi = Pm = Hsoy = Psun Ha: At least one pair of means is the same %3D %3D %3D 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 average weight of chicks is different for each type of diet O Since p < a, we reject the null hypothesis and accept that the average weight of chicks is not the same across all of the diets O Since p = 0, there is no chance that the average weight of chicks is the same across all of the diets O Since p < a, chicks is the same across all of the diets reject the null hypothesis and accept that the average weight of
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