Answered: Test the claim using a = 0.05 that the…

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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Question

Rothamsted Experimental Station (England) has studied wheat production since 1852. Each year many small plots of equal size but different soil/fertilizer conditions are planted with wheat. At the end of the growing season, the yield (in pounds) of the wheat on the plot is measured. Suppose for a random sample of years, one plot gave the following annual wheat production (in pounds):

2.74	4.72	2.75	3.67	4.87	4.95	3.60	4.84
3.37	2.68	4.19	4.55	2.51	2.48	4.33	3.80

For this plot, the sample variance is s²= 0.832. Another random sample of years for a second plot gave the following annual wheat production (in pounds):

2.68	3.01	3.24	5.23	3.06	4.87	3.59	4.86
4.07	2.65	3.34	4.81	4.58	2.99	2.87	3.00

For this plot, the sample variance is s²= 0.817. Test the claim using a = 0.05 that the population variance of annual wheat production for the first plot is larger than that for the second plot.

Will you reject or fail to reject the null hypothesis? choose one:

a) The P-Value is greater than the level of significance and so we reject the null hypothesis that the variances are equal. At 0.05 level of significance, we conclude that the variance for the first plot is greater than the variance for the second plot.

b) The P-Value is greater than the level of significance and so we fail to reject the null hypothesis that the variances are equal. At 0.05 level of significance, we conclude that the variance for the first plot is equal to the variance for the second plot.

c) The P-Value is greater than the level of significance and so we reject the null hypothesis that the variances are equal. At 0.05 level of significance, we conclude that the variance for the first plot is equal to the variance for the second plot.

d) The P-Value is less than the level of significance and so we fail to reject the null hypothesis that the variances are equal. At 0.05 level of significance, we conclude that the variance for the first plot is greater than the variance for the second plot.

e) The P-Value is less than the level of significance and so we reject the null hypothesis that the variances are equal. At 0.05 level of significance, we conclude that the variance for the first plot is equal to the variance for the second plot

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