MS 150 Statistics Test One Fall 2001 Name:

1. The ongoing study of body fat percentages seeks to determine the mean body fat percentage for the female students at the College of Micronesia-FSM Palikir national campus. Forty-two female students at the College of Micronesia-FSM Palikir national campus have had their body fat percentage measured with a mean body fat percentage of 28.6% body fat.
   
   1. What is the population in the study?
      
      
   2. What is the sample in the study?
      
      
   3. Suppose a member of the staff who is not taking any classes has their body fat percentage determined. Can their data be included in the sample?
      
      
      Why?
      
      
      
2. On my run home Wednesday evening I tracked my pace per kilometer.  The pace data is as follows:
   7.11 minutes per kilometer to Dolon
   5.83 minutes per kilometer to Sekere
   6.75 minutes per kilometer into Kolonia
   7.05 minutes per kilometer to Dausokele
   6.50 minutes per kilometer to Nantipw
   
   This data is an example of what level of measurement?
   
   
3. A pair of six sided dice are rolled twenty times producing the following results.
   6, 7, 8, 9, 7, 8, 8, 12, 8, 4, 7, 9, 6, 10, 7, 8, 7, 6, 2, 6
   
   1. What is the minimum value in this data set? _____
      
   2. What is the maximum value in this data set _____
      
   3. What is the range for this data? ______________
      
   4. If this data is to be divided into five bins (classes, intervals) what is the width of a single bin? ________
      
   5. Determine the frequency and calculate the relative frequency using five bins (classes, intervals). Record your results in the table below.
      

      Bins ( Classes or Intervals)	Frequency	Relative Frequency
      _______	_______	_______
      _______	_______	_______
      _______	_______	_______
      _______	_______	_______
      _______	_______	_______
      Sum:	_______________	_______________

      
      

   6. Sketch a relative frequency histogram of the data, labeling your horizontal axis as appropriate.
      
      
      
      
      
      
      
      
      
      
      
   7. What is the shape of the distribution? _____
      
   8. What is the sample size n? _____________
      
   9. What is the sum of the data?
      
   10. What is the mode? ___________
       
   11. What is the median? ___________
       
   12. What is the sample mean? ___________
       
   13. What is the sample standard deviation for the data? _____.
       
   14. What is the population standard deviation for the data? _____.
       
   15. What is the sample Coefficient of Variation for the data? ____.
       
4. Yap High School has a TOEFL average of 468 with a sample standard deviation of 70.   Weno High School has a TOEFL average of 371 with a sample standard deviation of 40.
   
   1. Which school has the higher mean score?
      
      
   2. Which school produces more consistent results, that is, which school produces students more consistently with a score close to the school average?
      
      
      

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