5. Let X and Y denote the weights in grams of male and female mice, respectively. Assume that X N(μx, ox²) and Y ~ N(µy, Øy²). Biologists suspect that male average weight is higher than the average weight of females. Random samples of n = 17 males and m= 15 females yield x = = 211.17, = 176.40, sx² = 156.75, and sy2 = 62.21. Y (a) Describe what μx and uy stand for. (b) State the null and the alternative hypotheses. (c) Compute the p value assuming that σx² = σy² (d) Make a decision and Draw a practical conclusion. (e) Although we assumed that σx² = 0y², let us say we suspect that that equality is not valid. Thus, use the test proposed by Welch to compute the p value. Does a decision remain the same? -
5. Let X and Y denote the weights in grams of male and female mice, respectively. Assume that X N(μx, ox²) and Y ~ N(µy, Øy²). Biologists suspect that male average weight is higher than the average weight of females. Random samples of n = 17 males and m= 15 females yield x = = 211.17, = 176.40, sx² = 156.75, and sy2 = 62.21. Y (a) Describe what μx and uy stand for. (b) State the null and the alternative hypotheses. (c) Compute the p value assuming that σx² = σy² (d) Make a decision and Draw a practical conclusion. (e) Although we assumed that σx² = 0y², let us say we suspect that that equality is not valid. Thus, use the test proposed by Welch to compute the p value. Does a decision remain the same? -
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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PART B
Transcribed Image Text:5. Let X and Y denote the weights in grams of male and female mice, respectively. Assume that
X ~ N(μx, ox²) and Y~ N(µy, σy²). Biologists suspect that male average weight is higher than
the average weight of females. Random samples of n = 17 males and m = 15 females yield x = 211.17,
=
y = 176.40, sx²
156.75, and sy²
= 62.21.
=
(a) Describe what µx and µy stand for.
(b) State the null and the alternative hypotheses.
= 0y²
(c) Compute the p – value assuming that σx²
(d) Make a decision and Draw a practical conclusion.
(e) Although we assumed that σx² = σy², let us say we suspect that that equality is not valid.
Thus, use the test proposed by Welch to compute the p-value. Does a decision remain the
same?
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