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. Mean Sq F value Pr(>F) Sum Sq 231129.16 195556.02 DF 46225.83 3008.55 15.36 0.0000 feed residuals 65 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. 400- 350 300- 250- 200- 150 100 casein horsebean linseed meatmeal soybean sunflower Mean SD n csein horsebean linseed 323.58 64.43 12 160.2 218.75 38.63 10 52.24 12 meatmeal 276.91 64.9 11 soybean sunflower 246.43 328.92 54.13 14 48.84 12 What are the hypotheses for this test? • Ho: P. - Ph = = Pm = Psoy = Hsun Ha: At least one of the means is different O Ho: Hc = Ph = P = Pm * Hsoy Psun Ha: Pc* Ph* P* Hm * Hsoy * Hsun O Ho: Pe = Ph = H = Pm - Hsoy Hsun Ha: At least one pair of means is the same The test statistic for the hypothesis test is: x (please round to two decimal places) The p-value for the hypothesis test is: x (please round to four decimal places) Weight (in grams)

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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.
Mean Sq
46225.83
3008.55
F value
15.36
Pr(>F)
0.0000
Sum Sq
DF
231129.16
195556.02
feed
residuals
65
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.
400-
350
-
300
250-
200
150
100
casein
horsebean Ilinseed
meatmeal soybean sunflower
SD
Mean
323.58
160.2
218.75
276.91
246.43
328.92
64.43
12
Csein
horsebean
linseed
meatmeal
soybean
sunflower
10
38.63
12
52.24
64.9
11
54.13
14
48.84
12
What are the hypotheses for this test?
Ho: Pe - Pn = H- Pm - Hsoy Psun
Ha: At least one of the means is different
Ho: µ. = Ph = M- Am - Hsoy Psun
Ha: Pc Ph = M Hm Hsoy Psun
Ho: H = Hn = Pm = Psoy Hsun
Ha: At least one pair of means is the same
of
The test statistic for the hypothesis test is:
x (please round to two decimal places)
The p-value for the hypothesis test is:
x(please round to four decimal places)
Interpret the result of the hynothesis
Weight (in grams)
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. Mean Sq 46225.83 3008.55 F value 15.36 Pr(>F) 0.0000 Sum Sq DF 231129.16 195556.02 feed residuals 65 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. 400- 350 - 300 250- 200 150 100 casein horsebean Ilinseed meatmeal soybean sunflower SD Mean 323.58 160.2 218.75 276.91 246.43 328.92 64.43 12 Csein horsebean linseed meatmeal soybean sunflower 10 38.63 12 52.24 64.9 11 54.13 14 48.84 12 What are the hypotheses for this test? Ho: Pe - Pn = H- Pm - Hsoy Psun Ha: At least one of the means is different Ho: µ. = Ph = M- Am - Hsoy Psun Ha: Pc Ph = M Hm Hsoy Psun Ho: H = Hn = Pm = Psoy Hsun Ha: At least one pair of means is the same of The test statistic for the hypothesis test is: x (please round to two decimal places) The p-value for the hypothesis test is: x(please round to four decimal places) Interpret the result of the hynothesis Weight (in grams)
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