Answered: (a) What is the level of significance?…

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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Are yields for organic farming different from conventional farming yields? Independent random samples from method A (organic farming) and method B (conventional farming) gave the following information about yield of sweet corn (in tons/acre).

Method A	6.72	6.19	7.26	6.08	6.03	6.51	6.36	7.13	6.12	6.66	6.14	6.83
Method B	6.30	5.83	5.91	7.18	6.34	6.09	5.84	6.93	6.20	7.09	6.47

Use a 10% level of significance to test the claim that there is no difference between the yield distributions.

(a) What is the level of significance?

State the null and alternate hypotheses.

H₀: Distributions are different.
H₁: Distributions are the same.H₀: Distributions are the same.
H₁: Distributions are the same. H₀: Distributions are different.
H₁: Distributions are different.H₀: Distributions are the same.
H₁: Distributions are different.

(b) Compute the sample test statistic. (Round your answer to two decimal places.)

What is the sampling distribution?

chi-squarenormal Student's tuniform

What conditions are necessary to use this distribution?

At least one sample size must be greater than 10.Both sample sizes must be greater than 10. At least one sample size must be less than 10.Both sample sizes must be less than 10.

At the ? = 0.10 level, we fail to reject the null hypothesis and conclude the data are statistically significant.At the ? = 0.10 level, we reject the null hypothesis and conclude the data are not statistically significant. At the ? = 0.10 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.At the ? = 0.10 level, we reject the null hypothesis and conclude the data are statistically significant.

(e) Interpret the conclusion in the context of the application.

Fail to reject the null hypothesis, there is sufficient evidence that the yield distributions are different.Reject the null hypothesis, there is sufficient evidence that the yield distributions are different. Fail to reject the null hypothesis, there is insufficient evidence that the yield distributions are different.Reject the null hypothesis, there is insufficient evidence that the yield distributions are different.

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