The table and graph are background information

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 23PFA
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The table and graph are background information

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.
F
df
Sum Sq
Mean Sq
Pri
value
feed
5
231129.16
46225.83 15.36
0.C
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)
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. F df Sum Sq Mean Sq Pri value feed 5 231129.16 46225.83 15.36 0.C 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)
What are the hypotheses for this test?
Ho: At least one pair of means is the same
Ha: Hc = Ph = H = Hm = Psoy = Psun
%3D
Ho: Hc = Ph = Hi = Pm = Psoy
Ha: Hc Hh * Pl = Pm * Hsoy = Hsun
Hsun
%3D
%3D
Ho: Hc = Ph = H = Pm = Psoy
H.: At least one pair of means is different
Hsun
%3D
а
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:
| Since p = 0, there is no chance that the mean
weight of chicks is the same across all of the diets
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 < a, we reject the null hypothesis and
accept that the mean weight of chicks is different
for each type of diet
| 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:What are the hypotheses for this test? Ho: At least one pair of means is the same Ha: Hc = Ph = H = Hm = Psoy = Psun %3D Ho: Hc = Ph = Hi = Pm = Psoy Ha: Hc Hh * Pl = Pm * Hsoy = Hsun Hsun %3D %3D Ho: Hc = Ph = H = Pm = Psoy H.: At least one pair of means is different Hsun %3D а 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: | Since p = 0, there is no chance that the mean weight of chicks is the same across all of the diets 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 < a, we reject the null hypothesis and accept that the mean weight of chicks is different for each type of diet | 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
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