February/March 2026 Paper 62

2026 · 6 questions · 19 parts · 50 marks

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1(a)Point Estimation Unbiased EstimatorsMedium3 marks
The heights, centimetres, of a random sample of 8 one-year-old plants of a certain variety were measured, with the following results: 104, 96, 110, 122, 96, 101, 99, 113 Calculate unbiased estimates of the population mean and variance of .
Unbiased estimate of the population mean
Show your method for the variance
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Unbiased estimate of the population variance
1(b)Confidence IntervalsMedium4 marks
It is now given that the true value of the population variance is 85.0. Stating a necessary assumption, find a 99% confidence interval for the population mean of , giving the limits of the interval correct to 1 decimal place.
State the necessary assumption
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Show your method
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-value used
99% confidence interval for the population mean of (limits to 1 d.p.)
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