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Environmental Statistics And Computer Applications  Question Paper

Environmental Statistics And Computer Applications  

Course:Bachelor Of Environmental Studies

Institution: Kenyatta University question papers

Exam Year:2009



KENYATTA UNIVERSITY
UNIVERSITY EXAMINATIONS 2008/2009
SECOND SEMESTER EXAMINATION FOR THE DEGREE OF BACHELOR
OF ENVIRONMENTAL STUDIES (COMMUNITY DEVELOPMENT)

ECD 501: ENVIRONMENTAL STATISTICS AND COMPUTER
APPLICATIONS

DATE: Monday 30th March , 2009


TIME: 9.00-12.00Noon
INSTRUCTIONS:
Answer Question ONE and any THREE questions

Q1.
a)
With examples of environmental phenomena describe the characteristics of each of the four types of measurement scales. What are the circumstances under which theses scales are used? [16 Marks]
b)
Using illustrations differentiate between descriptive and inferential statistics. [9 Marks]
Q2.
A study was conducted in a rural social environment to determine the effect the level of education in adopting technologies has on the level of household income. For ten households in the region, information was collected on the number of years of schooling by the head of each household as per the data below:
a)
Plot the data [3 Marks]
b)
Use the least squares estimates to obtain the regression line. Predict the annual income if the level of schooling is 2 years. [6 Marks]
c)
Compute and interpret the correlation coefficient between income and years of schooling. [6 Marks]

Household
Number of years
Household income
of schooling
(KShs 000)
1. 6
21
2. 5
19
3. 10
31
4. 7
25
5. 8
28
6. 12
33
7. 5
20
8. 9
29
9. 7
22
10. 11
32
Q3.
Environmental studies students were assigned a project of comparing the mean dissolved oxygen contents from samples drawn at four different locations of a river. At each location five different vial samples were drawn and analyzed for dissolved oxygen content (in part per million) as per the data below:
a)
Perform an ANOVA test with a = 0.05 to determine if there is sufficient evidence to indicate a difference in the mean dissolved oxygen contents or the four locations. [10Marks]
b)
Interpret and discuss the results [5 Marks]
LOCATIONS
1 2
3
4
4.6 6.7
6.4
5.8
4.8 6.2
6.3
5.3
4.3 6.4
6.6
5.7
4.9 6.5
6.7
5.2
4.7 6.3
6.5
5.0

2
Q4.
The following data show the waiting time (in minutes) for treatment of 50 outpatients at a clinic in a community centre.

35 22 63 6 49 19 15 83 46 19
16 31 24 29 36 68 42 57 64 8
23 47 21 51 7 40 19 46 16 32
108 33 55 32 22 36 25 27 37 58
39 10 42 28 72 13 51 45 77 16

Using the appropriate class-interval size to group the data generate a frequency distribution:
a)
Construct a histogram [ 2 Marks]
b)
Construct the frequency polygon [ 2 Marks]
c)
Calculate the three measures of central tendency [ 9 Marks]
d)
Interpret and discuss the results in view of efficiency of delivery of services to the community. [2 Marks]
Q5.
Distinguish and discuss any six measures of dispersion you know, noting the types of measurement scales appropriate for each measure. [15Marks]
Q6.
Describe and discuss any three of the following
a)
Sampling distribution [5Marks]
b)
The chi-square distribution [5Marks]
c)
The t- distribution [5Marks]
d)
The F-distribution [5Marks]






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