You have been asked to help a large financial institution in Cape Town, South Africa to assist with office chair selection. The workforce is a mixture of different racial and ethnic groups. Because of the cost of savings involved in making one large order for 2500 identical chairs, the company wishes to standardize on office chairs. One chair must fit all. You decide to get information on the stature of employees from their company medical records (a medical is a requirement for membership of the company pension scheme). From this, you decide to use RASH technique to estimate anthropometric measurements used in chair design List the anthropometric variables and percentiles) you would need to estimate to help the company choose a chair. (10 pts) Given that the mean and standard deviation heights of males and females in the company are as tabulated below, estimate 51 and 95th percentile values of each variable you listed in part 1 using scaling factors calculated from the tables. (25 pts) Mean 1600 1500 Males Females 7 SD 0 80 (111) You decide that seat depth is a critical factor. The company has a shortlist of 14 chair types but none of them has adjustable seat depth. You measure the depth of the seats with the following results: Number of chairs types at that depth Seat depth (mm) 450 420 400 390 370 a) Given that the mean female buttock-popliteal length in the company is 490.5 mm (SD 32.3 mm), for each chair seat depth calculate the percentage of the company's female workers that will be able to sit on the seat without having to adopt a posture in which they are perched on the edge of the seat. (15 pts) b) Which chair seat depth would you choose for the company, and why? Make sure to explain how would the number of different chair types available at a given seat depth affect your choice? (10 pts) You have been asked to help a large financial institution in Cape Town, South Africa to assist with office chair selection. The workforce is a mixture of different racial and ethnic groups. Because of the cost of savings involved in making one large order for 2500 identical chairs, the company wishes to standardize on office chairs. One chair must fit all. You decide to get information on the stature of employees from their company medical records (a medical is a requirement for membership of the company pension scheme). From this, you decide to use RASH technique to estimate anthropometric measurements used in chair design List the anthropometric variables and percentiles) you would need to estimate to help the company choose a chair. (10 pts) Given that the mean and standard deviation heights of males and females in the company are as tabulated below, estimate 51 and 95th percentile values of each variable you listed in part 1 using scaling factors calculated from the tables. (25 pts) Mean 1600 1500 Males Females 7 SD 0 80 (111) You decide that seat depth is a critical factor. The company has a shortlist of 14 chair types but none of them has adjustable seat depth. You measure the depth of the seats with the following results: Number of chairs types at that depth Seat depth (mm) 450 420 400 390 370 a) Given that the mean female buttock-popliteal length in the company is 490.5 mm (SD 32.3 mm), for each chair seat depth calculate the percentage of the company's female workers that will be able to sit on the seat without having to adopt a posture in which they are perched on the edge of the seat. (15 pts) b) Which chair seat depth would you choose for the company, and why? Make sure to explain how would the number of different chair types available at a given seat depth affect your choice? (10 pts)