Case on unemployment study Presented by Group 9 Akanksha Pamnani Akriti Kapoor Amandeep Singh Raveesh Nagori Shivika Singh Rathore
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Case on unemploymentstudy
Presented by Group 9Akanksha Pamnani
Akriti KapoorAmandeep SinghRaveesh NagoriShivika SinghRathore
8/3/2019 Case on Unemployment Study
http://slidepdf.com/reader/full/case-on-unemployment-study 2/11
Data
Age Weeks 56 22 35 19 22 7 57 37 40 18 22 11 48 6 48 22 25 5 40 20 25 12 25
1
59 33 49 26 33 13 56 15 20 17 31 11 27 17
Age Weeks 45 17 29 14 31 4 59 39 39 7 35 12 44 38 27 14 24 6 27 7 45 25 42
33
45 16 44 12 21 13 31 16 42 4 23 14 51 31
Age Weeks 30 10 33 23 32 8 22 7 51 12 50 16 21 9 38 5 26 8 55 35
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Q.1
Use descriptive statistics to summarize
the data.
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Descriptive analysis for age
Age Mean 36.6 Standard Error 1.689342343 Median 34 Mode 27 Standard Deviation 11.94545426 Sample Variance 142.6938776 Kurtosis -1.14514998 Skewness 0.357283468 Range
39
Minimum 20 Maximum 59 Sum 1830 Count 50 Confidence Level(95.0%) 3.394860475
1.697430238
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Descriptive analysis for weeks
Weeks
Mean 15.54 Standard Error 1.403846029 Median 13.5 Mode 7 Standard Deviation 9.926690469 Sample Variance 98.53918367 Kurtosis 0.053711356 Skewness 0.9107658 Range 38 Minimum 1 Maximum 39 Sum 777 Count 50 Confidence Level(95.0%) 2.821134164
1.410567082
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Q.2
Develop a 95% confidence intervalestimate of the mean age ofunemployed individuals in
Philadelphia
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t =2.01
Margin of error =3.395578109
Therefore,interval 33.20442189 to
39.99557811
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Q.3Conduct a hypothesis test to determinewhether the mean duration ofunemployment in Philadelphia is greaterthan the national mean duration of 14.6weeks. Use a 0.1 level of significance.What is your conclusion
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t= 5.139999(calculated)
ho <= 14.6
ha > 14.6
for 99% confidencet val= 2.405 (critical value)
deg of freedom = 49
As calculated t > critical value of tHence null hypothesis is rejected so the unemployment rate in Philadelphia is
greater than 14.6 weeks
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Q.4
Is there a relationship between theage of an unemployed individual andthe number of weeks of
unemployment ? Explain
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Correlation between age and weeks isgiven as :
0.659133