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5 marksSources of Data

CAPE Applied Mathematics Unit 1 · 2013 · Paper 2 · Question 1(e)(iii)

Ninety students are registered in a science programme across five courses, where students may register for multiple courses. A sample of 15 students is to be chosen for a Science Exhibition.

Use Table 4 (Random Sampling Numbers) provided in the Statistical Tables to obtain a random sample of size 15, without replacement, from numbers 00 to 90 inclusive, starting at the third row from the top with 72 and reading left to right. List the numbers selected in order.

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Other parts of this question

  1. 1(a)(i)Indicate whether the brands of coffee served at a restaurant is quantitative or qualitative, and if quantitative, whether it is discrete or continuous.[1.5 marks]
  2. 1(a)(ii)Indicate whether the number of television sets owned by households in a district is quantitative or qualitative, and if quantitative, whether it is discrete or…[1.5 marks]
  3. 1(a)(iii)Indicate whether the volume of water used weekly by a laundry is quantitative or qualitative, and if quantitative, whether it is discrete or continuous.[1.5 marks]
  4. 1(a)(iv)Indicate whether the types of fish sold in the market is quantitative or qualitative, and if quantitative, whether it is discrete or continuous.[1.5 marks]
  5. 1(b)(i)State whether the 5 buses owned by "Village Tours" is a population or a sample.[1 mark]
  6. 1(b)(ii)State whether 5 of the buses that were sent on the island tour last week is a population or a sample.[1 mark]
  7. 1(c)(i)State whether asking the 500 persons who attended the jazz show on Thursday night to name their favourite performer is a census or a sample survey.[1 mark]
  8. 1(c)(ii)State whether asking 500 of the persons who attended the jazz concert last week to name their favourite performer is a census or a sample survey.[1 mark]
  9. 1(d)State TWO reasons why it may be necessary to conduct a sample survey rather than use a census.[2 marks]
  10. 1(e)(i)Explain why a stratified random sample will NOT be an appropriate method to use.[2 marks]
  11. 1(e)(ii)Explain how a random number table could be used to select the sample of 15 students from the programme.[6 marks]

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