In this problem we will assume that the weight measurements of stroke patients over 80 years old at RWJ hospital are normally distributed with a true standard deviation of 20lb. Compute a 95% CI for the true average weight if the mean of a random sample of 25 stroke patients is 160 lb.  Suppose we want to test the null hypothesis that the mean weight of stroke patients over 80 years old is 175 vs the alternative that it is less than 175 pounds. Which test should I use and why?. Follow the test procedure for a 5% significance level and interpret the test result in terms of the mean weight of stroke patients.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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In this problem we will assume that the weight measurements of stroke patients over 80 years old at RWJ hospital are normally distributed with a true standard deviation of 20lb.

  1. Compute a 95% CI for the true average weight if the mean of a random sample of 25 stroke patients is 160 lb.
  2.  Suppose we want to test the null hypothesis that the mean weight of stroke patients over 80 years old is 175 vs the alternative that it is less than 175 pounds. Which test should I use and why?. Follow the test procedure for a 5% significance level and interpret the test result in terms of the mean weight of stroke patients.
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