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The link to the data is below https://1drv.ms/x/s!Asly5-Ugw961ccH1_jnvfpflMc8 In

ID: 3248332 • Letter: T

Question

The link to the data is below

https://1drv.ms/x/s!Asly5-Ugw961ccH1_jnvfpflMc8

Instructions: Answer the following questions based on the information contained in the dataset: classData.xls. Microsoft Excel will be necessary to complete your project, however, you could use any other type of statistical software. The data source is the National Longitudinal Survey of Youth (NLSY 79) from the Bureau of Labor Statistics, and variable descriptions are as follow: Variable description: 1. yearn: yearly earnings data for each individual and for each year 2. hwrk: Total number of hours worked in each year (for each individual) 3.ysch: Years of schooling (highest grade completed) in every year 4. age: Age of each respondent in every year. 5. chever: If respondent ever had any child. 6. nchg18: number(s0 of children with age J18 7.nchi18: number(s) of children with age

Explanation / Answer

H0: 1 => 2

H1: 1 < 2

Assuming never married as sample 1 and married as sample 2

Sp^2= (n1-1)S1^2+(n2-1)S2^2/(n1-1)+(n2-1)

         = (9138-1)*7832.25^2+(2569-1)*82901.8971^2/9137+2568

         =1555716192.53375

tSTAT=(X1-X2)-(µ1-µ2)/Sp^2(1/n1+1/n2)

       =(5384.86857080324-17300.4277929155)-0/1555716192.53375 (1/9138+1/2569)

       =-11915.559/0.09

       =-13.53

tCRIT is -1.64 and -13.53 is less than -1.64 and hence it lies in the rejection region. Hence, married people have more earnings than unmarried is justified

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