Numeracy Higher November 2017 Unit 2 Q9

(a) Circle either TRUE or FALSE for each statement given below. [2]

STATEMENT
Choosing every 4th person on an alphabetical list of office staff is a suitable method of randomly choosing the office staff required for the sample.	TRUE	FALSE
Numbering the cleaning staff, placing the numbers in a hat and drawing out numbers at random is a suitable method of choosing the cleaners required for the sample.	TRUE	FALSE
There are 9 managers employed by the company. The calculation to find the number of managers in the sample is \(\dfrac{9}{85} \times 15 = 1{\cdot}59\). This answer means there will definitely be 2 managers in the sample.	TRUE	FALSE
The proportion of the staff in each job type in the sample will be exactly the same as the proportion of the staff in each job type in the company as a whole.	TRUE	FALSE

(b) 50 engineers are employed by the company.
Use the following extract from a table of random digits to choose 9 engineers for the sample.
You must start with the first number in the list.
Describe clearly how you are using the numbers to select the sample. [3]

29974  55479  07248  33999  17038  02475  49979  01218

(c) The engineering company has a storage building, as shown below.
The building is in the form of half a cylinder, with half a hemisphere attached at one end.

Diagrams not drawn to scale

The company needs to paint all the exterior surfaces of the building, including the doors.

The measurements on the diagram are given correct to the nearest metre.
The paint comes in tins that cover an area of 40 m², correct to the nearest m².

Calculate the smallest number of tins that would guarantee having enough paint to cover these exterior surfaces. [8]