A manufacturer is testing its new grain moisture meter and sampled out 5 grain types (1, 2, 3, 4, 5) and measured their moisture contents at 3 trials each as shown in second table. A. Compute for the estimate of the variance between treatments, compute for the degrees of freedom between treatments. B. Compute for the estimate of the variance within treatments, compute for the degrees of freedom within treatments. C. When you are asked to compute if there is a significant difference in the means at 1% level of significance, what will be the critical f value? Indicate input arguments used in looking at the table. Compute for the observed variance ratio. What will this say about the effect of grain sample to the moisture content? D. Now supposed you were asked to determine which means are different from the rest, you conduct Fisher’s least significant difference test at 10% alpha level. Find critical t value from the t-distribution table, indicate input arguments used. What is the LSD? Check if means of sample 1 is significantly different from sample 5.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 2SE: What is a sample space?
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A manufacturer is testing its new grain moisture meter and sampled out 5 grain types (1, 2, 3, 4, 5) and measured their moisture contents at 3 trials each as shown in second table. A. Compute for the estimate of the variance between treatments, compute for the degrees of freedom between treatments. B. Compute for the estimate of the variance within treatments, compute for the degrees of freedom within treatments. C. When you are asked to compute if there is a significant difference in the means at 1% level of significance, what will be the critical f value? Indicate input arguments used in looking at the table. Compute for the observed variance ratio. What will this say about the effect of grain sample to the moisture content? D. Now supposed you were asked to determine which means are different from the rest, you conduct Fisher’s least significant difference test at 10% alpha level. Find critical t value from the t-distribution table, indicate input arguments used. What is the LSD? Check if means of sample 1 is significantly different from sample 5.
Sample Replication
MC
1
7.14739
1
2
6.01415
3
8.42143
12.1292
13.0347
1
2
12.4647
1
13.9927
3
14.3569
13.5796
15.7074
16.6088
3
15.8992
1
21.0591
21.6560
3
21.3732
2.
4.
Transcribed Image Text:Sample Replication MC 1 7.14739 1 2 6.01415 3 8.42143 12.1292 13.0347 1 2 12.4647 1 13.9927 3 14.3569 13.5796 15.7074 16.6088 3 15.8992 1 21.0591 21.6560 3 21.3732 2. 4.
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