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4.3.1 Statistical hypothesis testing (A-level only)

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Question 65

An environmental study records the daily duration of sunshine, sss hours, and the corresponding maximum electricity yield, EEE kWh, from a fixed solar panel array. Over n=15n=15n=15 days, the following summary statistics were obtained:

∑s=120∑s2=1120∑E=600∑E2=25500∑sE=5250 \sum s = 120 \quad \sum s^2 = 1120 \quad \sum E = 600 \quad \sum E^2 = 25500 \quad \sum sE = 5250 ∑s=120∑s2=1120∑E=600∑E2=25500∑sE=5250
a.

Find the values of SssS_{ss}Sss​ and SsES_{sE}SsE​.

[2]
b.

Given that SEE=1500S_{EE} = 1500SEE​=1500,

calculate the product moment correlation coefficient, rrr.

[2]
c.

Interpret your value of rrr in the context of the study.

[1]
Markscheme

4.3.1 Statistical hypothesis testing (A-level only) Questions

  1. A Level
  2. /Maths
  3. /4.3.1 Statistical hypothesis testing (A-level only)

178 exam-style questions on WJEC A Level Maths 4.3.1 Statistical hypothesis testing (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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