The following data was reported on total Fe for four types of iron formation (1
ID: 3258125 • Letter: T
Question
The following data was reported on total Fe for four types of iron formation (1 = carbonate, 2 = silicate, 3 = magnetite, 4 = hematite). 1: 20.3 28.1 27.8 27.0 27.8 25.2 25.3 27.1 20.5 31.6 2: 26.6 24.0 26.2 20.2 23.9 34.0 17.1 26.8 23.7 24.7 3: 30.1 34.0 27.5 29.4 28.4 26.2 29.9 29.5 30.0 36.3 4: 36.8 44.2 34.1 30.3 32.1 33.1 34.1 32.9 36.3 25.7 Carry out an analysis of variance F test at significance level 0.01. State the appropriate hypotheses. H_0: mu_1 notequalto mu_2 notequalto mu_3 notequalto mu_4 H_a: at least two mu'/s are equal H_0: mu_1 notequalto mu_2 notequalto mu_3 notequalto mu_4 H_a: all four mu'/s are equal H_0: mu_1 = mu_2 = mu_3 = mu_4 H_a: at least two mu'/s are unequal H_0: mu_1 = mu_2 = mu_3 = mu_4 H_a: all four mu/s are unequal Summarize the results in an ANOVA table. (Round your answers two decimal places.) Give the test statistic.Explanation / Answer
We have the data as below:
X1
X2
X3
X4
20.3
26.6
30.1
36.8
28.1
24
34
44.2
27.8
26.2
27.5
34.1
27
20.2
29.4
30.3
27.8
23.9
28.4
32.1
25.2
34
26.2
33.1
25.3
17.1
29.9
34.1
27.1
26.8
29.5
32.9
20.5
23.7
30
36.3
31.6
24.7
36.3
25.7
We go to Data then we select Data Analysis. There we go for Single Factor Anova. We select the data and run the analysis.
Source
df
Sum of Square
Mean Square
f
Between Groups
3
524.682
174.894
11.05
Within Groups
36
569.962
15.83227778
Total
39
1094.644
Answer:
f = 11.05
X1
X2
X3
X4
20.3
26.6
30.1
36.8
28.1
24
34
44.2
27.8
26.2
27.5
34.1
27
20.2
29.4
30.3
27.8
23.9
28.4
32.1
25.2
34
26.2
33.1
25.3
17.1
29.9
34.1
27.1
26.8
29.5
32.9
20.5
23.7
30
36.3
31.6
24.7
36.3
25.7
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