Introduction

This research was conducted on 10th December, 2013 at the parking bay of the college. The aim was to study the vehicles that are present in both the students' and the faculty parking lots. Special emphasis was put on the model of the vehicle in order to ascertain its country of origin. This would then form the basis of analysis and conclusion. 

Methodology

Cross-sectional study design was used to collect data at one point in time. One day was dedicated to data collection in order to avoid sampling bias that would be related to double counting of vehicles. Only the vehicles that were present at the parking lot were studied. The study population consisted of all the vehicles at the parking lot. There were 87 vehicles present at the parking lot. The study area, being the parking lot, was purposively selected to provide information to the study. 

Simple random sampling was used to select the sample size that consisted of 40 cars. Of the sample size, students owned 20cars whereas 20 cars belonged to the faculty. All the cars were numbered from in ascending order after which small pieces of paper were made to represent each car. The papers were picked one at a time without replacement in order to obtain the sample size. For each paper picked, the car represented by that number was studied. Data collection was expedited through a data collection sheet as well as a short questionnaire that was filled by the owner of the vehicle. Data was then analyzed for measures of central tendency, spread, and disseminated through a written report.

Hypotheses

i. Students and faculty have an equal proportion of foreign cars.

ii. Majority of the cars are owned for a maximum of 2 years.

Data

Student's Parking Lot

 

 

 

 

Number of Car

Duration owned(Years)

Model

 

Country

1

1

Mercedes Benz

 

 

Germany

2

3

Mercedes Benz

 

 

Germany

3

2

Toyota

 

Japan

4

1

Honda

 

Japan

5

3

Volvo

 

Sweden

6

1

Range Rover

 

UK

7

1

Volkswagen

 

Germany

8

0.5

Chevrolet

 

USA

9

0.75

Toyota

 

Japan

10

0.36

Toyota

 

Japan

11

0.24

Toyota

 

Japan

12

1

Mercedes Benz

 

 

Germany

13

2

Hummer

 

USA

14

3

Honda

 

Japan

15

3

Hummer

 

USA

16

2

Toyota

 

Japan

17

1

Toyota

 

Japan

18

2

Toyota

 

Japan

19

2

Chevrolet

 

USA

20

2

Toyota

 

Japan

Mean duration

1.5925

 

 

 

Standard deviation

0.925617148

 

 

 

Variance

0.856767105

 

 

 

 

Faculty Parking Lot

 

 

 

Number of Car

Duration owned(Years)

Model

Country

1

2

Volkswagen

Germany

2

4

Volkswagen

Germany

3

2

Hummer

USA

4

3

Hummer

USA

5

2

Volkswagen

Germany

6

1

Mercedes Benz

Germany

7

1

Chevrolet

USA

8

1

Mercedes Benz

Germany

9

1

Range Rover

UK

10

4

Volkswagen

Germany

11

1

Range Rover

UK

12

5

Range Rover

UK

13

1

Hummer

USA

14

1

Toyota

Japan

15

2

Toyota

Japan

16

1

Hummer

USA

17

1

Mercedes Benz

Germany

18

1

Volvo

Sweden

19

1

Volkswagen

Germany

20

1

Chevrolet

USA

Mean duration

1.8

 

 

Standard deviation

1.23969436

 

 

Variance

1.536842105

 

 

Summary of the Findings

The mean duration of time for which students have owned cars is 1.59years while that of faculty is 1.8years. This research can be assumed to have a 95% confidence level factoring in the margin of error that is committed during sampling. We will use Z-statistics in computing the confidence interval. The mean duration of all the cars is 1.695years. The confidence interval is therefore computed as follows:

Standard deviation = 1.547 years

95% Confidence interval = Point estimate of the mean +/- Z X Standard deviation/√Sample size

Z value = 1.96

95% Confidence Interval = 1.695 +/- 1.96 X 1.547/√40

95% Confidence Interval = 1.695 +/- 0.48

Upper Limit = 1.695 + 0.48 = 2.175years

Lower Limit = 1.695 - 0.48 = 1.215years

We are therefore 95% confident that the mean duration that each car will be held is between 1.215years and 2.175years.

The proportion of the students that own foreign cars is 80% while 70% of the faculty own foreign cars. We can compute the 95% confidence interval for the difference in proportion means.

95% Confidence interval = Difference +/- Z X √ (p1q1/n1 +p2q2/n2)

95% Confidence Interval = (0.8-0.7) +/- 1.96 X √ (0.8 X 0.2/20 + 0.7 X 0.3/20)

95% Confidence Interval = 0.1 +/- 0.27

Upper Limit = 0.37

Lower Limit = -0.17

We are 95% confident that the difference in proportions ranges between -0.17% and 0.37%. This difference is thus not significant since the range contains a zero.

Conclusion

The students and the staff thus do not have the same proportion of foreign cars. This disqualifies the first hypothesis while the second is also disqualified since the mean number of years a car can be owned exceeds 2years with and upper limit of 2.175years.

Order now

Related essays