Answer to Question #287990 in Statistics and Probability for Mayuri

Question

Six types of workers are employed in each of the two workshops but at different rates of wages as follows Type of worker Workshop A Rate of wages per worker Rupees Mechanic Fitter Electrician Carpenter Smith Clerk 2 250 350 400 300 300 200 14 20 Workshop B No of workers No of workers Rate of wages per worker Rupees 300 18 300 50 425 7 350 12 10 6 350 1 500 2 In which of the workshop is the overall role Wages per worker higher by how much?

Answer 1

Calculate mean

Workshop A

$$mean_1=\mu_1$$

$$=\dfrac{1}{2+18+50+14+8+20}(2(2.50)+18(3.50)$$

$$+50(4.00)+14(3.00)+8(3.00)+20(2.00))=3.34$$

Workshop B

$$mean_2=\mu_2$$

$$=\dfrac{1}{12+7+10+6+2+1 }(12(3.00)+7(3.00)$$

$$+10(4.25)+6(3.50)+2(3.50)+1(5.00))=3.49$$

Workshop B pays higher average rate of wages.

$$3.49-3.34=0.15$$