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Case on unemploymentstudy

Presented by Group 9Akanksha Pamnani

Akriti KapoorAmandeep SinghRaveesh NagoriShivika SinghRathore

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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