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Final Term Paper
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Spring 2018
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 MSc Mathematics
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STA 641 : Statistical Packages and its Applications
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Total Marks = 40
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Instructions:
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Attempt all questions.
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Note: The data is provided in sheet named as "DATA" of this excel file. Define variables in SPSS and insert data in it. After applying all the analysis save the SPSS output file as .SPV and name the file as your Student ID.
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 The data given in DATA sheet contains the following variable (about cars descriptions):
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VariablesDescription
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mpgMiles per Gallon
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engineEngine Displacement (cu. inches)
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horseHorsepower
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weightVehicle Weight (lbs.)
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accel
Time to Accelerate from 0 to 60 mph (sec)
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yearModel Year (modulo 100)
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originCountry of Origin
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cylinderNumber of Cylinders
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Use the data (DATA sheet) to solve the following questions:
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Question NO.01:
A) Find the mean, median, mode, variance and standard deviation of the variable: mpg, engine, horse, weight. (using SPSS)
Marks: 10+10 = 20
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B) Draw the column or bar chart of the variables: Year , Origin and cylinder.(using SPSS) Also interpret the charts.
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Question NO.02:
A) Find the value of the correlation coefficient between the variables: engine and weight (using SPSS) and also interpret the results.
Marks 10+10=20
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B) Test the null hypothesis that Mean weight of all cars is equal to 3310. i.e. Ho: m (Weight) =3310 lbs,
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against the Alternative hypothesis Mean weight of all cars is not equal to 3310. Ha: m (Weight) ≠ 3310 lbs at alpha=0.05 level of significance.
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