CAPE Applied Mathematics Unit 1 · 2010 · Paper 2 · Question 5(b)(i)
The limits of a 90% confidence interval for μ are (0.54, 0.61).
Calculate the value of X̄.
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Practise this questionOther parts of this question
- 5(a)State the distribution of X̄ giving its parameters.[2 marks]
- 5(b)(ii)Calculate the number of observations taken, n.[4 marks]
- 5(c)If 20 independent samples, EACH of size n, are drawn from a distribution and the 90% confidence interval is calculated for EACH, how many of these intervals…[2 marks]
- 5(d)(i)a)Calculate an unbiased estimate of the population mean.[3 marks]
- 5(d)(i)b)Calculate an unbiased estimate of the population standard deviation.[5 marks]
- 5(d)(ii)Construct a 94% confidence interval for the mean amount of money spent by the students at the bookstore.[5 marks]
More practice: the rest of this paper · more Sampling Distribution and Estimation questions · all CAPE Applied Mathematics Unit 1 past papers