Quelpr
3 marksData Analysis

CAPE Applied Mathematics Unit 1 · 2015 · Paper 2 · Question 6(b)(ii)

A table presents operator age (x) and training duration required in days (y).

Calculate the mean age of the operators and the mean number of days required for training, to the NEAREST whole number.

This question uses a figure or table from the paper — you'll see it when you practise.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 6(a)(i)Identify the independent variable between: The income of a family, and The monthly rent paid.[1 mark]
  2. 6(a)(ii)Identify the independent variable between: The advertising expense of a company, and The sales of a company.[1 mark]
  3. 6(a)(iii)Identify the independent variable between: The damage done to a certain home after a hurricane, and The amount of money spent in repairs to a certain home…[1 mark]
  4. 6(b)(i)Use graph paper to plot these values in a scatter diagram.[3 marks]
  5. 6(b)(iii)Plot the point (x̄, ȳ) on the scatter diagram.[1 mark]
  6. 6(b)(iv)Draw the regression line of y on x given by y = -0.05 + 0.27x on the same graph as the scatter diagram.[3 marks]
  7. 6(b)(v)Use the regression line to estimate the number of days required to train a new operator aged 22 years, to the NEAREST whole number.[2 marks]
  8. 6(c)(i)State appropriate null and alternate hypotheses for this chi-squared test.[2 marks]
  9. 6(c)(ii)Determine the critical value of the test at the 5% level of significance.[3 marks]
  10. 6(c)(iii)Calculate the expected number of students who attended School B and received a Grade II.[3 marks]
  11. 6(c)(iv)Given the calculated chi-squared test value is 9.1625, clearly state the conclusion that may be drawn.[2 marks]

More practice: the rest of this paper · more Data Analysis questions · all CAPE Applied Mathematics Unit 1 past papers