Project C05 - Life Expectancies Project C05 - Life Expectancies

While trying to estimate the life expectancy of an average human, a group of students collected the following data.

Data Set #1
39.0 42.8 48.9 57.7 57.9 60.3 60.9 62.1 62.3 64.2
64.3 64.4 64.7 65.4 67.7 69.6 71.0 72.3 73.6 73.7
73.8 74.2 74.7 74.7 74.9 74.9 76.3 76.4 77.2 77.5
79.3 79.8 79.8 81.3 82.0 82.9 84.5 86.2 87.2 89.1
90.2 90.5 91.4 92.8 96.6 97.7 98.1 98.5 100.3 107.5

Data Set #2
36.6 47.5 50.4 52.8 53.0 54.2 55.7 57.9 58.4 59.1
60.3 60.8 61.1 63.8 63.8 65.3 65.6 66.2 66.5 66.6
66.7 67.4 67.7 68.4 68.6 68.8 68.9 69.3 69.4 69.9
70.3 70.5 71.4 72.0 72.4 72.9 73.1 76.9 77.2 77.5
78.1 78.2 78.4 79.2 79.8 80.4 80.9 80.9 82.4 85.0

The numbers in the data sets represent ages (in years) at death.
  1. Construct a boxplot for each data set. Use an asterick to denote each outlier.
  2. Do the data sets appear to be random samples from the same population? Explain.
  3. Construct a histogram for each data set.
  4. Find the mean of each data set.
  5. After doing some research, the students found that the National Center of Health Statistics has reported that the average life expectancy of an American is about 76 years.
    1. Which data set supports the conclusion of the NCHS? For the remainder of this project, consider only this data set.
    2. Does the data set appear to be a random sample from a normally distributed population? Explain.
  6. Find the standard deviation of the data set.
  7. Assume that the ages in the data set are samples from a normal distribution with mean and standard deviation as found in Problems 4 & 6.
    1. About what percent of people in this population should live beyond 90 years?
    2. If 750 people are selected from this population, about how many will die before age 50?
  8. Visit the website of the National Center of Health Statistics. Find the most current estimates of life expectancy for American men and for American women.

File translated from TEX by TTH, version 1.98.
On 26 May 2000, 08:32.