Quelpr
1 markAssignment Models

CAPE Applied Mathematics Unit 2 · 2016 · Paper 2 · Question 1(b)(i)a)

A manufacturer of beauty products wants to investigate the age of product users via a random sample.

State ONE reason why visiting beauty shops on Saturday morning to interview a selection of customers buying the product may be unsatisfactory.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 1(a)(i)State whether the 40 buses owned by "I'll take you there tours" constitute a sample or a population.[1 mark]
  2. 1(a)(ii)State whether 40 of the persons who attended the health seminar last week constitute a sample or a population.[1 mark]
  3. 1(b)(i)b)State ONE reason why posting a questionnaire on the manufacturer's Facebook page for fans or followers to respond may be unsatisfactory.[1 mark]
  4. 1(b)(ii)a)Describe the sampling method used when all names are put into a box at the end of the exhibition and a random sample of 50 names is drawn.[1 mark]
  5. 1(b)(ii)b)Describe the sampling method used when every fifth name is selected from the list of names collected over the three days.[1 mark]
  6. 1(c)Using stratified random sampling to select a sample of 15 students from the group, determine how many boys will be in the sample.[2 marks]
  7. 1(d)State the advantage of using a stem-and-leaf diagram rather than grouping data into a frequency distribution.[1 mark]
  8. 1(e)(i)Relative to the stem-and-leaf diagram, state what 4|6 represents.[1 mark]
  9. 1(e)(ii)Determine how many patients were in the sample.[1 mark]
  10. 1(e)(iii)Determine how many patients waited more than 35 minutes.[1 mark]
  11. 1(e)(iv)Determine the range of waiting times.[3 marks]
  12. 1(e)(v)Determine the median waiting time for the sample.[2 marks]
  13. 1(e)(vi)Calculate the interquartile range for the waiting time data.[3 marks]
  14. 1(a)(i)Show that (p ∧ ~q) ∨ (~p ∧ q) is equivalent to (p ∨ q) ∧ (~p ∨ ~q) using truth tables.[4 marks]
  15. 1(a)(ii)Show that (p ∧ ~q) ∨ (~p ∧ q) is equivalent to (p ∨ q) ∧ (~p ∨ ~q) using the laws of Boolean algebra.[4 marks]
  16. 1(b)(i)Draw the switching circuit for (p ∧ ~q) ∨ (~p ∧ q).[3 marks]
  17. 1(b)(ii)Draw the switching circuit for (p ∨ q) ∧ (~p ∨ ~q).[3 marks]
  18. 1(c)Determine the Boolean expression for the output s in the given logic circuit.[3 marks]
  19. 1(d)(i)Write an expression in logical notation for: "If a person eats red meat then that person may have a high cholesterol reading or suffer a heart attack."[2 marks]
  20. 1(d)(ii)Write an expression in logical notation for: "If a person does not suffer a heart attack then that person has a normal cholesterol reading and does not eat red…[2 marks]
  21. 1(d)(iii)Construct a truth table for the statement in (d)(i) and state with a reason whether it is a tautology.[4 marks]

More practice: the rest of this paper · more Assignment Models questions · all CAPE Applied Mathematics Unit 2 past papers