Hw2 sol - 1a Relative Frequency of Ages for Kids in California March 2007 CPS 0.07 0.06 0.05 0.04 0.03 0.02 0.01 0 0 1 2 3 4 5 6 7 8 9 10 11 12 13

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1a 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Relative Frequency of Ages for Kids in California, March 2007, CPS The ages are close to uniformly distributed over the range 0-17. There are slightly more older children than there are younger children. 1b age Mean 8.913379218 Standard Error 0.065952772 Median 9 Mode 12 Standard Deviation 5.090340734 Sample Variance 25.91156878 Kurtosis -1.167963915 Skewness -0.093494737 Range 17 Minimum 0 Maximum 17 Sum 53097 Count 5957 Confidence Level(95.0%) 0.129291328
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1c 2 n=16 t*= 2a Pr(T>1.6) TDIST(1.6,15,1) 0.06522251 2b Pr(T<-2.0 or T>2.0) TDIST(2.0,15,2) 0.063945007 2c Pr(T>t*)=0.05 TINV(0.1,15) 1.753050325 2d Pr(T<-t* or T>t*)=0.05 TINV(0.05,15) 2.131449536 2e Pr(T>t*)=0.01 TINV(0.02,15) 2.60248029 2f Pr(T<-t* or T>t*)=0.01 TINV(0.01,15) 2.946712883 3a Family Income Mean 77067.38224 Standard Error 1098.048384 Median 55000 Mode 0 tandard Deviation 4749.1356 The data visually do not appear to be very skewed. This is confirmed by the descriptive Standard Deviation 84749.1356 Sample Variance 7182415985 Kurtosis 15.42355167 Skewness 3.395185773 Range 824396 Minimum -3683 Maximum 820713 Sum 459090396 Count 5957 Confidence Level(95.0% 2152.572666 95% Confidence Interval for the population mean ( μ )of Family income Calculated using Descriptive Statistics Output Lower Bound 74914.80957 Upper Bound 79219.95491 3b 95% Confidence Interv xbar+/-t(0.025,n-1)*s/sqrt(n) xbar= 77067.38224 t(0.025,n-1)= 1.960362309
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s/sqrt(n)= 1098.048384 lower bound 74914.80957 upper bound 79219.95491 3c We do not know whether the confidence interval that we have created in fact contains μ . However, 95% of such intervals that we could create (with repeated sampling) would contain μ . 4a Poverty status Mean 0.186335404 Standard Error 0.00504537 Median 0 Mode 0 Standard Deviation 0.38940978 Sample Variance 0.151639977 Kurtosis 0.597182476 Skewness 1.611515464 Range 1 Minimum 0 Maximum 1 Sum 1110 Count 5957 4a 1 Form the hypothesis: H0:mu=0.2 v.s. Ha:mu\=0.2 p-value approach alpha=0.1 2 Form the test statistic: 2-sided test xbar 0.186335404 s/ n 0.00504537
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This note was uploaded on 11/02/2009 for the course ECON 102 taught by Professor Staff during the Fall '08 term at UC Davis.

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Hw2 sol - 1a Relative Frequency of Ages for Kids in California March 2007 CPS 0.07 0.06 0.05 0.04 0.03 0.02 0.01 0 0 1 2 3 4 5 6 7 8 9 10 11 12 13

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