Question

ANSWER ALL PARTS.

3. Suppose a researcher is interested in determining the mean income of lawyers at a large Bay Street law firm. The firm consists of 525 lawyers of whom 475 are associates and 50 are partners. Because there are relatively few partners in the firm, the researcher believes that a simple random sample might understate the earnings of the partners. She thus decides to undertake a stratified random sample of 75 lawyers: 50 associates and 25 partners. The following income data (in S1000s) was obtained: 1(Associates) 50 3150 205,506 2(Partners) 25 6800 2,003,200 (a) (2 marks). Was the sample of 75 lawyers allocated proportionately between the two strata? Verify. (b) (5 marks). Estimate the mean income μ of the lawyers at the Bay Street law firm and place a bound on the error of estimation

Answer 1

nol 115 50 50 425 995011% = 432.6 UV 80 ny A D-2 冫 22-00-161 Standasel Esse tan on(or e , μ → 131.61 + 11.49