Preview File Edit View Go Tools Window Help A ABC - Extended 180% [40 FAUTY BRM_2020_exam_paper_.docx.pdf (page 3 of 4) G IN View Zoom Share Highlight Rotate Markup Search... HIGHLIGHTS & NOTES THE M HONG KONG BAPTIST UNIVERSITY Page: 3 DisNep MONSTER SEMESTER 2, 2019-2020 AT WORK TAKE-HOME OPEN-BOOK EXAMINATION Course Code: BUSI3007 Section Number: 00001 - 00006 Time Allowed: 24 Hour(s) Course Title: Business Research Methods Total No. of Pages: 13 THE FALCON WINTER SOLDIER Question 3 (a) Experience with workmen in a certain industry indicates that the time required for a randomly selected workman to complete a certain job is approximately normally distributed with a standard deviation of 10 minutes. How large a sample would one need to take if one wished to estimate the unknown population mean to within 2 minutes with 95% confidence? [5 marks] (b) In studying the daily food expenditure of families in a city, random samples of fifty KINGD families and forty families are selected from urban area and rural area, respectively. POLAR Selected families from urban area have a mean of $150 and a standard deviation of $30. Selected families from rural area have a mean of $135 and a standard deviation of $25. Construct a 95% confidence interval for the difference of mean daily food expenditure between all families of urban area and rural area. State your assumption(s) and/or AD approximation(s). [8 marks] (c) The marketing research department is studying the acceptance of customers on a new taste of yogurt. In a random sample of 200 customers, 120 state that they like the new taste of yogurt. Construct a 99% confidence interval for the population proportion of customers who like the new taste of yogurt. Interpret your results. [7 marks] E GU 30