Quantitative Methods 1 Assignment 2 For Full marks you must show detailed calculations for your answers. Question 1: Compute the mean hourly wage paid to carpenters who earned the following wages: $15.40, $20.10, $18.75, $22.76, $30.67, $18.00. Question 2: The Human Resources Director at DuPont began a study of the overtime hours in the Inspection Department. A sample of 15 workers was selected at random and records showed they worked the following number of overtime hours last month. Compute the arithmetic mean and (b) indicate whether it is a statistic or a parameter. a Find the mean. 13 13 12 15 15 12 b) is the mean a statistic or a parameter? 6 12 10 13 12Question 3: Andrews and Associates specialize in corporate law. They charge $100 per hour for researching a case, $75 per hour for consultations, and $200 per hour for writing a brief. Last week one of the associates spent 10 hours consulting with her client, 10 hours researching the case, and 20 hours writing the brief. What was the weighted mean hourly charge for her legal services? Question 4: The following are the ages of the 10 people in the video arcade at the Southwyck Shopping Mall at 10 a.m. (a) determine the median and (b) the mode. 12 8 17 6 11 14 8 17 10 8Question 5: Listed below is the number of hours that a sample of students spent travelling to college each week. What is the median number of hours spent travelling per week? What is the mode? 9.0 8.5 8.0 9.1 10.3 11.0 11.5 10.3 10.5 9.8 9.3 8.2 8.2 8.5 Question &: In 1999, the CPI for Canada was 92.9, but in 2009, the CPI was 114.4. What was the geometric mean annual increase for the period? Question 7: A recent report in Woman's World magazine suggested that the typical family of four with an intermediate budget spends about $106 per week on food. The following frequency distribution was included in the report. Compute the mean, median, and the standard deviation. How do your results mean and median only not standard deviation required. compare with those of the report?Question 7: A recent report in Woman's World magazine suggested that the typical family of four with an intermediate budget spends about $106 per week on food. The following frequency distribution was included in the report. Compute the mean, median, and the standard deviation. How do your results mean and median only not standard deviation required. compare with those of the report? Amount Spent ($) Frequency $80 to under $85 6 85 to under 90 12 90 to under 95 23 95 to under 100 35 100 to under 105 24 105 to under 110 10