4.A fertilize company tests blends of fertilizer with hybrid seeds toaccurately determine yields. Consistency is desired, so the fertilizercompany wants to test the variability of yields. In years past, the farmharvested an average of 88 bushels per acre, with a standard deviation of 6bushels per acre.acre plots the fertilize company collected data suggesting that the standarddeviation of the yield was 5 bushels per acre.blend higher than the old?This year, the farm altered the blend a bit. On 20 one-Is the variance of the newThe company wants to use a 10% significance level.Ho:Ha:Decision Rule:Decision:Conclusion:

Answered: 4. A fertilize company tests blends of…

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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4.
A fertilize company tests blends of fertilizer with hybrid seeds to
accurately determine yields. Consistency is desired, so the fertilizer
company wants to test the variability of yields. In years past, the farm
harvested an average of 88 bushels per acre, with a standard deviation of 6
bushels per acre.
acre plots the fertilize company collected data suggesting that the standard
deviation of the yield was 5 bushels per acre.
blend higher than the old?
This year, the farm altered the blend a bit. On 20 one-
Is the variance of the new
The company wants to use a 10% significance level.
Ho:
Ha:
Decision Rule:
Decision:
Conclusion:

Expert Solution

Step 1

Chi-Square Test:

The hypothesis testing of the variability of the standard deviation is done by the chi-square test. The test is to compare the change in the variance of the population or of the sample with some treatment applied. The test statistic is calculated as the ratio of the standard deviation without treatment and with treatment. The critical value is calculated from the Chi-Square Table with alpha as the level of significance and the degree of freedom as N-1 (N is the size of the population/sample).

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