3. Students looked at the effect of a certain fertilizer on plant growth. The students testedthis fertilizer on one group of plants (Group A) and did not give fertilizer to a secondgroup (Group B). Let X and Y denote the respective growths of the plants (in mm)in Group A and Group B over six weeks. Suppose X and Y are independent randomvariables with distributions N(ux, o) and N(uy, o), respectively. A random samplefrom N(ux.o%) of size n = 25 yielded i35.83 and s = 23.81, while a random%3!sample from N(uy o) of size m =29 yielded y = 31.51 and s = 33.76.%3D(a) Assume o = o, test the null hypothesis at 1% significance level that the meangrowths are equal against the alternative that the fertilizer enhanced growth.(b) If o #o, test the mull hypothesis at 1% significance level that the mean growthsare equal against the alternative that the fertilizer enhanced growth.(c) Test Ho : o = oỷ against H1 : of + oỷ at the a = 0.05 significance level.

Please find the solution below. Thank you n=25;m=29

Answered: 3. Students looked at the effect of a…

A First Course in Probability (10th Edition)

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Author:Sheldon Ross

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Chapter1: Combinatorial Analysis

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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