10. A manufacturer is testing its new grain moisture meter and sampled out 5 grain types (A, B, C, D, E) and measured their moisture contents (MC) at 3 trials each as shown in the table 2. (see attached picture for table 2) A. Compute for the estimate of the variance within treatments and compute for the degrees of freedom within treatments. B. When asked to compute if there is a significant difference in the means at 1% level of significance, you find that observed variance ratio is 101.835, noting that mean squares of the deviations from the means within treatments is larger than between treatments. What will be the critical f value at 1% level of significance? Indicate input arguments used in looking at the table. What will this say about the effect of grain sample to the moisture content?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 37E: Find the positive geometric mean between 4 and 64.
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10. A manufacturer is testing its new grain moisture meter and sampled out 5 grain types (A, B, C, D, E) and measured their moisture contents (MC) at 3 trials each as shown in the table 2. (see attached picture for table 2) A. Compute for the estimate of the variance within treatments and compute for the degrees of freedom within treatments. B. When asked to compute if there is a significant difference in the means at 1% level of significance, you find that observed variance ratio is 101.835, noting that mean squares of the deviations from the means within treatments is larger than between treatments. What will be the critical f value at 1% level of significance? Indicate input arguments used in looking at the table. What will this say about the effect of grain sample to the moisture content?
Table 2
Replication
1
Sample
MC
9.60
A
9.80
3
9.70
12.80
В
2
12.90
3
12.70
1
16.80
C
2
17.20
3
17.50
1
18.30
D
2
18.60
3
18.20
1
50.70
E
20.90
3
20.70
Transcribed Image Text:Table 2 Replication 1 Sample MC 9.60 A 9.80 3 9.70 12.80 В 2 12.90 3 12.70 1 16.80 C 2 17.20 3 17.50 1 18.30 D 2 18.60 3 18.20 1 50.70 E 20.90 3 20.70
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