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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.
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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.
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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?
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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.
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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?
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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%.
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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''.
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