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Suggested Questions for Homework or Projects

Activity Exercise: How does one minute of exercise affect your pulse rate?

Questions for Key Concepts:

1. Create side-by-side histograms and side-by-side box plots for pre-exercise pulse rates for male and female students, respectively.
Observe the differences between the two distributions:
  • Are the centers of the distributions very different between male and female pulse rates?
  • Are the shapes of the distribution very different between male and female pre-exercise pulse rates?
  • Are the variation of pre-exercise pulse rates between male and female 
    dramatically different? If so, which is much larger? Give some possible reasons.
2. Create side-by-side histograms and side-by-side box plots for post-exercise pulse rates 
for male and female students, respectively.
Observe the differences between the two distributions:
  • Are the centers of the distributions very different between male and female pulse
     rates?
  • Are the shapes of the distribution very different between male  and female post-exercise pulse rates?
  • Are the variation of post-exercise pulse rates between male and female dramatically different? If so, which is much larger?  Give some possible reasons.
3. For an individual with pre-pulse rate=55 and post-pulse rate=100,  the increase is 25. 
Based on the empirical rule, is this a usual increase?  
4. Compute the Z-score of difference in pulse rate for the individual with pre=80 and 
post=88 and decide if the increase in pulse rate is unusual.
 
5. Construct side-by-side histogram and box plot of the variable Diff 
and numerical summaries of Diff variable for male and female students, respectively. 
Observe:
  • Are the centers of the distributions for the increase in pulse rates very different between male and female students? Can you give some reasons for this difference?
  • Are the shapes of the distribution for the increase in pulse rates very different 
    between male and  female students?
  • Which one has larger variation? male or female? Can you give some reasons for the variation difference?
6. For Hypothesis Test:
Comparing the average pulse rate increase between male and female students.       
  • Is this a two independent sample test or a two dependent sample test? Why?
  • In making this comparison, what is the response variable? 
    (pre pulse rate, post pulse rate, or Diff-pulse rate).
  • Conduct a hypothesis test to test if the average increase in pulse rate between 
    male and female students are significantly different at x=5%.
7. Select the cases of this class and use this data to do the problems same as the problems suggested in the ''Tips for Instructor''.
 

Questions for Related Topics:


 

 
 

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strives to increase diversity within its community (see
www.cmich.edu/aaeo/).