The crop researcher wants to test the effect of three different fertilizer mixtures on crop yield. An experiment was done for 15 different fields for all three fertilizer mixtures. The crop researcher performed ANOVA test (alpha =0.1) on the data, with the output given below (some metrics are missing and need to be calculated by you). Anova: Single Factor SUMMARY Groups Count Sum Average Variance Fertilzer 1 15 1486 99.0666667 198.638095 Fertilzer 2 15 1231 82.0666667 110.92381 Fertilizer 3 15 1377 91.8 274.028571 ANOVA Source of Variation SS df MS F P-value F crit 2.43356384 Between Groups Within Groups 2740.31111 8170.26667 42 Total 10910.5778 44 The F statistics is equal to which is than F critical, thus we the null hypothesis of fail to reject 2.43 less equality of means equal 2.17 more not all means are equal 7.04 reject 44

The crop researcher wants to test the effect of three different fertilizer mixtures on crop yield. An experiment was done for 15 different fields for all three fertilizer mixtures. The crop researcher performed ANOVA test (alpha =0.1) on the data, with the output given below (some metrics are missing and need to be calculated by you). Anova: Single Factor SUMMARY Groups Count Sum Average Variance Fertilzer 1 15 1486 99.0666667 198.638095 Fertilzer 2 15 1231 82.0666667 110.92381 Fertilizer 3 15 1377 91.8 274.028571 ANOVA Source of Variation SS df MS F P-value F crit 2.43356384 Between Groups Within Groups 2740.31111 8170.26667 42 Total 10910.5778 44 The F statistics is equal to which is than F critical, thus we the null hypothesis of fail to reject 2.43 less equality of means equal 2.17 more not all means are equal 7.04 reject 44

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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Question

The crop researcher wants to test the effect of three different fertilizer mixtures on crop yield. An experiment was done for 15 different
fields for all three fertilizer mixtures. The crop researcher performed ANOVA test (alpha =0.1) on the data, with the output
given below (some metrics are missing and need to be calculated by you).
Anova: Single Factor
SUMMARY
Groups
Count
Sum
Average
Variance
Fertilzer 1
15
1486 99.0666667 198.638095
Fertilzer 2
15
1231 82.0666667
110.92381
Fertilizer 3
15
1377
91.8 274.028571
ANOVA
F crit
Source of Variation
Between Groups
SS
df
MS
F
P-value
2740.31111
2.43356384
Within Groups
8170.26667
42
Total
10910.5778
44
The F statistics is equal to
which is
than F critical, thus we
the null hypothesis of
fail to reject
2.43
less
equality of means
equal
2.17
more
not all means are equal
7.04
reject
44

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