Case Study Statistic

1586 words - 6 pages

Student ID: 2150586 PM 503 SS3 2T Tutor: Alan D. LoganModule Code: PM 011 - 2T(SS3)Class Group: Group ZModule Title: Statistical Design for Science and EngineeringAssessment: Case studyAssignment Title: the quality of water in the reservoirs supplyingthe Greater Glasgow areaTutor Name: Alan D. LoganDate of Submission: July 31th, 2014IntroductionDue to the task of rising living standard in the Greater Glasgow, Scottish Water has launched a project to study the quality of water in the reservoirs supplying Glasgow. The project leader believed that the water quality should be highest when the surface area of a reservoirs is small. However, the Scottish Water Director seemed to be unsatisfied with the conclusion of the project leader due to the lack of statistical analysis. Subsequently, a statistical investigation has been started. The investigation data was gathering from 49 reservoirs with fresh drinkable water in different location around Glasgow. In addition, the criterion 'Index of Biotic Integrity' or IBI has been applied for the study to measure the water quality.The date have been demonstrated in two tables (see Appendix 1). Table 1 show IBI score of 24 "treatment" reservoirs where the water was treated using chemical to eliminated bacteria before it was stored into the reservoirs. The table 2 displayed the information about 25 other "non-treatment" reservoirs which is treated after the water left the reservoirs. The tables have two columns which are the measure of reservoir's surface area and the IBI score. The second aim of this research is to give recommendationThis paper has two aims. The first aim is to analyzing and evaluating the effect of surface area on the quality of water, to be more specific, the IBI score. If there are statistical evidence of other possible influences of the water quality then deeper research might be required in order to estimate that influences. Thus, the second purpose of this paper is to give recommendations for further research of water quality.Statistical analysisThe progression of this section can be divided into three parts. Firstly, the method of gathering data present in Table 1 and Table 2 is evaluated. Subsequently, conclusion about the trustworthiness of these data can be made. Secondly, inferences about how statistically the surface area influence water quality was investigated. Finally, a test of how significantly treatment process affect the water quality was examined.As an experimental design, some consideration should be taken into account. Theoretically, a large random sample should be used in any experiment. To be more specific, in this research, each treatment and non-treatment group must contain more than 30 samples to be consider as a large sample; in this case, the sample sizes were only 24 and 25 respectively. The data collected is lack of randomness as well. The task from Scottish Water suggests that data should be collect from The Greater Glasgow, however only data from reservoirs that...

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