(a) Use the summary information to compute the three sums of squares needed for using ANOVA to test for a difference in mean number of ants among these four types of bread. Round your answers to one decimal place. SSG: i SSE: i SSTotal: i

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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 5E: List the sample space of each experiment. Rolling one die and tossing one coin
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(c) What is the p-value? 

An experiment was done to study how different sandwich fillings might affect the mean number of ants attracted to pieces of a
sandwich. The students running this experiment also varied the type of bread for the sandwiches, randomizing between four types:
Multigrain, Rye, Wholemeal, and White. The ant counts in 6 trials and summary statistics for each type of bread and the 24 trials as
a whole are given in Table 1 and stored in SandwichAnts.
Bread
Ants
Mean Std.Dev.
Multigrain
42
22
36
38
19
59
36.00
14.52
Rye
18
43
44
31
36
54
37.67
12.40
Wholemeal
29
59
34
21
47
65
42.50
17.41
White
42
25
49
25
53
35.83 13.86
Total 38.00
13.947
Table 1 Numbers of ants by type of bread
21
Transcribed Image Text:An experiment was done to study how different sandwich fillings might affect the mean number of ants attracted to pieces of a sandwich. The students running this experiment also varied the type of bread for the sandwiches, randomizing between four types: Multigrain, Rye, Wholemeal, and White. The ant counts in 6 trials and summary statistics for each type of bread and the 24 trials as a whole are given in Table 1 and stored in SandwichAnts. Bread Ants Mean Std.Dev. Multigrain 42 22 36 38 19 59 36.00 14.52 Rye 18 43 44 31 36 54 37.67 12.40 Wholemeal 29 59 34 21 47 65 42.50 17.41 White 42 25 49 25 53 35.83 13.86 Total 38.00 13.947 Table 1 Numbers of ants by type of bread 21
(a) Use the summary information to compute the three sums of squares needed for using ANOVA to test for a difference in
mean number of ants among these four types of bread.
Round your answers to one decimal place.
SSG:
i
SSE:
i
SSTotal:
eTextbook and Media
(b) Use the sums of squares from part (a) to constuct the ANOVA table and complete the details for this test. Fill in the following
ANOVA table.
Enter exact answers for degrees of freedom, round your answer for the F-statistic to two decimal places, and round all other
answers to one decimal place.
Source
df
SS
MS
F-Statistic
Groups
i
i
i
i
Error
i
Total
Transcribed Image Text:(a) Use the summary information to compute the three sums of squares needed for using ANOVA to test for a difference in mean number of ants among these four types of bread. Round your answers to one decimal place. SSG: i SSE: i SSTotal: eTextbook and Media (b) Use the sums of squares from part (a) to constuct the ANOVA table and complete the details for this test. Fill in the following ANOVA table. Enter exact answers for degrees of freedom, round your answer for the F-statistic to two decimal places, and round all other answers to one decimal place. Source df SS MS F-Statistic Groups i i i i Error i Total
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