Daily Practice

Higher

23rd November 2024

5 questions · Higher tier · 360 questions in this band

1
Regression and the PMCC
A regression line y = 12 + 1.5x is used to predict y when x = 200, even though the original x-values ranged only from 5 to 20. Explain why this prediction may be unreliable.
2
Stratified Sampling (Higher)
A youth club has 60 juniors and 90 seniors (150 total). A stratified sample of 30 is taken. How many juniors are sampled?
3
Capture Recapture
Explain why the capture-recapture method requires the marked animals to have time to mix randomly with the rest of the population before the second sample is caught.
4
Crude and Standardised Rates
Using a standard population of 50,000, the total expected number of deaths, summed across all age bands, for Town B is 400. Calculate the standardised death rate per 1000.
5
Conditional Probability (Higher)
A class of 30 students has 18 who study French. Of those, 10 also study Spanish. Find P(studies Spanish given studies French).

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