3. Students looked at the effect of a certain fertilizer on plant growth. The students tested this fertilizer on one group of plants (Group A) and did not give fertilizer to a second group (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 random variables with distributions N(ux, o) and N(uy, of), respectively. A random sample from N(ux.o) of size n = 25 yielded i 35.83 and s 23.81, while a random sample from N(uy, of) of size m 29 yielded y = 31.51 and s= 33.76. (a) Assume of = o, test the null hypothesis at 1% significance level that the mean growths are equal against the alternative that the fertilizer enhanced growth. (b) If o + o3, test the null hypothesis at 1% significance level that the mean growths are equal against the alternative that the fertilizer enhanced growth. (c) Test Ho: o = až against H : ok + ož at the a = 0.05 significance level.
3. Students looked at the effect of a certain fertilizer on plant growth. The students tested this fertilizer on one group of plants (Group A) and did not give fertilizer to a second group (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 random variables with distributions N(ux, o) and N(uy, of), respectively. A random sample from N(ux.o) of size n = 25 yielded i 35.83 and s 23.81, while a random sample from N(uy, of) of size m 29 yielded y = 31.51 and s= 33.76. (a) Assume of = o, test the null hypothesis at 1% significance level that the mean growths are equal against the alternative that the fertilizer enhanced growth. (b) If o + o3, test the null hypothesis at 1% significance level that the mean growths are equal against the alternative that the fertilizer enhanced growth. (c) Test Ho: o = až against H : ok + ož at the a = 0.05 significance level.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter5: A Survey Of Other Common Functions
Section5.6: Higher-degree Polynomials And Rational Functions
Problem 5E: Population Genetics In the study of population genetics, an important measure of inbreeding is the...
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Transcribed Image Text:3. Students looked at the effect of a certain fertilizer on plant growth. The students tested
this fertilizer on one group of plants (Group A) and did not give fertilizer to a second
group (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 random
variables with distributions N(ux, o) and N(uy, o), respectively. A random sample
from N(ux.o%) of size n = 25 yielded i
35.83 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 mean
growths 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 growths
are 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.
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