Part I: Use the infant mortality data in the first table on the table handout for this section.
  1. _________ Determine the sample size n.
  2. _________ Calculate the sample mean xbar.gif (842 bytes).
  3. _________ Is the FSM's infant mortality rate per above or below the average for the countries cited?
  4. _________ Determine the median.
  5. _________ Determine the mode.
  6. _________ Determine the minimum.
  7. _________ Determine the maximum.
  8. _________ Calculate the range.
  9. _________ Calculate the sample standard deviation sx.
  10. _________ Calculate the Coefficient of Variation.
  11. _________ Determine the class width.  Use 5 bins (classes or intervals)
  12. Fill in the following table with the class upper limits in the first column, the frequencies in the second column, and the relative frequencies in the third column
    Bins Frequency Relative Frequency f/n
    _________ _________ _________
    _________ _________ _________
    _________ _________ _________
    _________ _________ _________
    _________ _________ _________
    Sums: _________ _________
  13. Sketch a histogram of the relative frequency data to the right of the table above.
  14. _________ What is the shape of the distribution?
  15. _________ What is the probability that, for the Pacific Island locations cited, the infant mortality rate is less than or equal to 16.77?
  16. Construct a 95% confidence interval for the population mean m infant mortality rate per 1000 live births for Pacific Islanders using the above data.  Note that n is less than 30. Use the sample mean and sample standard deviation to generate your error tolerance E.  Show all of your work either below or on the back of this sheet.
    1. __________ How many degrees of freedom?
    2. __________ What is tc?
    3. The error tolerance E = _______________
    4. The 95% confidence interval for m is  ____________ < m < ____________
  17. __________ Based on your confidence interval calculations above, if the mean infant mortality rate for the cited countries changes to 21 per 1000 live births in 2002, would this change be statistically significant at an alpha of 0.05?
Part II: Use the data in the second table on the table handout for this section.
  1. _________ The FSM has a population of 110,000. Given the noted birth rate of 27.1 babies (live births) per 1000 people in the FSM in 2001, how many babies can be expected to be born in the FSM this year?
  2. _________ Infant mortality refers to death of a baby in its first year of life. Given the FSM's infant mortality rate of 33 infants per 1000 live births, how many infants can be expected to die before they reach their first birthday in the FSM this year?
  3. _________ Calculate the slope of the least squares line for the data.
  4. _________ Calculate the y-intercept of the least squares line.
  5. _________ Is the correlation positive, negative, or neutral?
  6. _________ Use the equation of the best fit line to calculate the expected infant mortality rate for a Pacific basin location with a birth rate of 30.
  7. _________ Use the inverse of the best fit equation of the best fit line to calculate the expected birth rate for a Pacific basin location with an infant mortality rate of 40.
  8. _________ Calculate the linear correlation coefficient r for the data.
  9. _________ Is the correlation none, low, moderate, high, or perfect?
  10. _________ Calculate the coefficient of determination.
  11. _________ What percent of the variation in the birth rate explains the variation in the infant mortality data?
  12. _________ Is there a relationship between birth rate and infant mortality?
  13. _________ Would a policy that decreases the birth rate also likely decrease the infant mortality rate?
  14. Given the data and correlation above, what types of social policy might you recommend with respect to birth rate in order to reduce infant mortality in the FSM?






Excel functions

Data sources:

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