A media report claims that the mean weekly earnings of female full-time workers in Australia was AU$ 1580 in 2017. Do you agree? Perform a hypothesis test at the 5% significance level. Show the step-by-step workings in the report. Clearly label your diagram and indicate any assumptions made. Explain carefully any potential error you could commit in your decision making

 

Method 1 Method 2 Female Earnings Mean 1449.775 Mean 1449.775 Standard Error 46.17743 Median 1250 160 Median 1250 Mode 1250 15 Mode 1250 Variance 682353.62 Standard Deviation 826.04698 Std Dev 826.04698 Sample Variance Kurtosis 682353.62 Range 6850 13.474432 3.035774 6850 Skewness Range Minimum 150 ximum 7000 Sum 463928 Count 320 Frequency 200 Bins Bins 200 700 16 700 1200 129 1200 1700 98 1700 2200 45 2200 2700 12 2700 3200 3700 4200 3200 6. 3700 2 4200 4700 4700 5200 2 $200 5700 5700 6200 6200 6700 6700 7200 7200 More Histoaram for female earninas 400 300 200 100 200 1200 2200 4200 5200 6200 7200