Do the mean weights of male college freshmen and male college seniors differ? There are arguments for and against this question. The mean weight, μx of college freshmen will be compared to the mean weight, My of college seniors. The true values of Mx and My are unknown. It is recognized that the true standard deviations are x =13 for male college freshmen and dy = 24 for male college seniors. We take a random sample of m = 431 college freshmen and a random sample of n=289 college seniors. The mean weights were x = 178 for male college freshmen and y = 185 for male college seniors. Assuming independence between the samples and assuming theweights are normally distributed we would like to estimate My - My.a) What is the standard deviation of the distribution of x?[b) What is the standard deviation of the distribution of x-y?c) Create a 95% confidence interval for Mx - Hy?d) What is the length of the confidence interval in part c) ?e) If we let n stay at 289 but vary m, what is the smallest m for which the length of the 95% confidence interval would be 5.8 or less?f) Copy your R script for the above into the text box here.

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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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