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Learn/ A Level Mathematics/ Past Papers/ 2021/ May/June 2021 /Paper 6 (Variant 3)

Probability & Statistics 2 — Variant 3

A Level Mathematics · 9709/63 · May/June 2021

Question Paper

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Mark Scheme

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Questions

1 of 6 questions shown here, checked against the paper. The others are in the PDF above — they contain diagrams or maths we could not yet verify, and we would rather show you the original than a transcription we are not sure of.

4
The masses, mm kilograms, of flour in a random sample of 9090 sacks of flour are summarised as follows.\n\nn=90n = 90 Σm=4509\Sigma m = 4509 Σm2=225 950\Sigma m^{2} = 225\,950
4(a) [3]
Find unbiased estimates of the population mean and variance.
4(b) [3]
Calculate a 98%98\% confidence interval for the population mean.
4(c) [1]
Explain why it was necessary to use the Central Limit theorem in answering part (b).
4(d) [2]
Find the probability that the confidence interval found in part (b) is wholly above the true value of the population mean.

Published by Cambridge Assessment International Education. Reproduced for study use.