We wish to assess whether there is a relationship between bone mineral density and cigarette smoking. To approach this problem we have a sample of twin pairs, where one twin is a heavy smoking twin and the other twin is a lighter smoking.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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  1. For each of the following scenarios, identify:
  • the population of interest,
  • the outcome variable being measured on each observational unit,
  • whether the outcome variable being measured is categorical or quantitative/Continuous,
  • the parameter of interest, define both in words and using the appropriate statistical symbol (π, π1 -π2, µ, µ1 - µ2, or µd), and
  • the null and alternative hypotheses, written in correct statistical notation (not in words)

Name the hypothesis test you would use. For example, some tests we have learned are:

  • one sample t-test of the population mean
  • one sample z-test of the population proportion
  • independent two-sample pooled t-test for the difference between population means
  • independent two-sample unpooled z-test for the difference between population means
  • Paired t-test for 2 dependent samples
  • independent two-sample z-test for the difference between population proportions

 

a) We wish to assess whether there is a relationship between bone mineral density and cigarette smoking. To approach this problem we have a sample of twin pairs, where one twin is a heavy smoking twin and the other twin is a lighter smoking.

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