Quelpr
3 marksHypothesis Testing

CAPE Applied Mathematics Unit 1 · 2015 · Paper 2 · Question 5(c)(iii)

Spice package masses are normally distributed with mean 48 g and standard deviation 2.3 g. A sample of 49 packages after machine repairs has mean 47.2 g with unchanged standard deviation.

Calculate the value of the test statistic used in this test.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 5(a)(i)Calculate the width of the interval.[2 marks]
  2. 5(a)(ii)Calculate the mean of the sample.[2 marks]
  3. 5(a)(iii)Calculate the standard deviation of the value of the sales invoice.[3 marks]
  4. 5(b)(i)State the approximate distribution modelled by X̄, giving its parameters.[3 marks]
  5. 5(b)(ii)Calculate P(X̄ < 28).[5 marks]
  6. 5(c)(i)State null and alternative hypotheses, using statistical symbols to test whether the mean mass has changed.[2 marks]
  7. 5(c)(ii)Determine the critical region(s) of the test conducted at the 4% significance level.[3 marks]
  8. 5(c)(iv)Clearly state the conclusion of the test.[2 marks]

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