Stat 538 - Biostatistics I

   Homework 3, due in Lecture Tuesday, Sept 27.



   1. The following data were collected from 48 women who were at least
      40 years old when they gave birth to their first child. The data
      concern the gestation period of that pregnancy, and related
      variables on the child and mother.

      The columns are, from left to right:

      1) ID
      2) The child's gestation period, in weeks
      3) Sex of the child (0=Male, 1=Female)
      4) Birth Weight of child, in grams
      5) Number of cigarettes smoked per day (on average) by the mother
      6) Height of mother in cm
      7) Weight of mother in kilograms at first prenatal visit
      8) Weight of mother in kilograms at final prenatal visit

      
      Separately for males and females, assess the normality of the 
      distribution of birth weights, using normal scores plots, histograms, 
      and side-by side boxplots.  Describe all important features of each sex's 
      weight distribution, and explain how you can see the features in all 
      three displays.  You probably will want to "unstack" the data into separate 
      columns in order to get the normal scores.  How do the distributions of weight 
      for males compare to those for females?

      Save this worksheet - we will use the data later.

 
     DATA
     ----
        1  36  0  3300  0   160.0  67.3  82.7
        2  38  0  3300  60  167.6  52.7  76.0
        3  38  0  4100  20  167.6  64.2  79.6
        4  38  1  2900  10  163.9  72.7  95.8
        5  39  0  2820  0   161.3  50.0  63.3
        6  39  0  3040  0   158.8  49.1  61.5
        7  39  0  4120  0   160.0  57.7  73.5
        8  39  0  4200  0   174.0  68.0  86.8
        9  39  1  3100  0   171.5  67.3  85.6
       10  39  1  3330  0   160.0  74.0  90.5
       11  39  1  3410  0   165.1  55.9  70.7
       12  39  1  3420  0   162.6  52.3  66.0
       13  40  0  2450  20  167.6  61.4  72.5
       14  40  0  2885  0   167.7  60.0  78.6
       15  40  0  3235  0   170.2  50.0  65.5
       16  40  0  3320  0   165.1  63.6  80.2
       17  40  0  3600  0   165.1  53.2  68.7
       18  40  0  3720  0   165.0  57.7  74.4
       19  40  0  3720  0   172.7  61.4  80.0
       20  40  0  3820  0   175.3  60.8  78.1
       21  40  0  3840  0   167.0  60.5  83.9
       22  40  0  3880  0   156.2  57.3  73.7
       23  40  0  3960  0   157.5  52.7  68.2
       24  40  0  4465  0   157.5  51.4  66.4
       25  40  1  2980  0   160.0  47.7  55.2
       26  40  1  3040  0   162.0  49.0  60.3
       27  40  1  3060  20  157.5  61.0  75.0
       28  40  1  3100  0   170.2  55.5  64.6
       29  40  1  3120  0   160.3  56.8  75.4
       30  40  1  3205  0   172.7  58.2  75.5
       31  40  1  3220  0   170.0  64.6  86.0
       32  40  1  4100  40  167.0  67.0  85.0
       33  41  0  3100  0   168.9  61.4  69.2
       34  41  0  3720  0   170.2  57.7  67.7
       35  41  0  3720  20  170.2  57.7  80.5
       36  41  0  3900  0   167.0  68.0  85.4
       37  41  0  3990  0   165.1  52.3  71.2
       38  41  0  4050  0   167.6  61.0  78.5
       39  41  0  4080  0   162.6  59.1  83.1
       40  41  0  4100  0   165.1  60.5  86.5
       41  41  0  4460  20  165.1  56.8  88.0
       42  41  0  5220  0   157.5  56.8  68.2
       43  41  1  3300  40  162.6  74.1  89.7
       44  41  1  3400  0   172.7  71.4  87.8
       45  41  1  4000  0   165.1  90.0  100.8
       46  41  1  4030  0   166.0  63.0  95.3
       47  43  1  3220  0   166.4  60.9  72.0
       48  43  1  4270  0   162.6  54.5  70.3


   You may use either the normal tables or Minitab for calculating 
   probabilities with the following three problems from SW.

   2.  Do problem 5.15 in SW, p. 164.  

   3.  Do problem 5.16 in SW, p. 164

   4.  Do problem 5.34 in SW, p. 174

   5.  Display the results of a simulation of the sampling distribution
       of the sample mean when n=10 sampling from a normal distribution 
       with population mean 100 and population standard deviation 15.  
       Show histograms of both the original population and the sampling
       distribution of the sample mean overlaid on the same graph.

   6.  Repeat problem 5 for the sampling distribution of the sample 
       proportion when sampling from a binary population with 40% S's and
       60% F's.