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# Statistical Analysis of Zinc Concentration in Drinking Water

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Added on  2019-09-16

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Ten pairs of data were taken measuring zinc concentration in bottom water and surface water. The frequency distribution, mean, and standard deviation were calculated. Hypothesis testing was performed to determine if the true average concentration in the bottom water exceeds that of surface water.

## Statistical Analysis of Zinc Concentration in Drinking Water

Added on 2019-09-16

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Question Submit data (either primary (survey) or secondary) and apply any of the statistical techniques.You may start with the profile of the respondents using frequency distribution, solving for meanand standard deviation, then testing for hypothesis using tests of difference or tests ofrelationship.SolutionPrimary Data is the real time data which is collected by the researcher himself. It is also knownas first hand data. This type of data can be collected by conducting surveys, personal interview,by means of questionnaires etc. It is available in crude form. Secondary Data is the past data which is collected by someone else previously. This type ofdata can be collected by means of articles, government publications, journals, websites, bookrecords etc. It is available in refined form.Statistical Techniques are the formulas or the methods of collecting, summarizing andanalyzing and interpreting random data in numeric terms. They can be frequency distribution,Mean, Median, Mode, Standard Deviation or Hypothesis testing. Case: Drinking WaterIt is known that metals in drinking water can affect its flavor. Also an unusually highconcentration can pose a health hazard. Ten pairs of data were taken measuring zincconcentration in bottom water and surface water. The data collected is given below:Location12345678910Zinc concentration inbottom water.430.266.567.531.707.716.651.589.469.723Zinc concentration insurface water.415.238.390.410.605.609.632.523.411.612Frequency distribution is a mathematical method which calculates the number of instances inwhich a variable takes each of its possible values. It is a table that shows thefrequencyofdifferent outcomes in a sample. Every single entry in the table comprises thefrequencyor countof the occurrences of values within a precise group or interval, and in this manner, the tablesummarizes thedistributionof values in the sample.The frequency distribution for the above data is calculated below:
LocationZincconcentration inbottom waterFrequency (f)Zincconcentration insurface waterFrequency (F)10.43010.415120.26610.238130.56710.390140.53110.410150.70710.605160.71610.609170.65110.632180.58910.523190.46910.4111100.72310.6121TheStatistical Meanrefers to themeanor average that is used to derive the central tendency ofthe data in question. It is determined by adding all the data points in a population and thendividing the total by the number of points. The resulting number is known as themeanor theaverage.Standard Deviationis astatisticused as a measure of the dispersion or variation in adistribution, equal to the square root of the arithmetic mean of the squares of thedeviationsfromthe arithmetic mean.The Mean and Standard Deviation for the above data are calculated using excel with the help offormulas shown below:

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