Skip to content

Course home

Sign up

4.3 Statistical hypothesis testing (A-level only)

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169
Question 163

An environmental scientist studied the relationship between the daily average temperature, xxx (in ∘C^{\circ}\text{C}∘C), and the daily electricity consumption, yyy (in MWh), for a small town over 15 days in summer. The following summary statistics were calculated:

Sxx=450.4Syy=1240.2Sxy=652.8 S_{xx} = 450.4 \quad S_{yy} = 1240.2 \quad S_{xy} = 652.8 Sxx​=450.4Syy​=1240.2Sxy​=652.8
a.

Calculate the product moment correlation coefficient (PMCC) for these data.

[2]
b.

Interpret the value of the PMCC in the context of the study.

[2]
c.

A student later coded the data by multiplying the temperature figures by 1.8 and adding 32 (to convert to Fahrenheit). Write down the value of the PMCC calculated using the coded data.

[2]
Markscheme

4.3 Statistical hypothesis testing (A-level only) Questions

  1. A Level
  2. /Maths
  3. /4.3 Statistical hypothesis testing (A-level only)

308 exam-style questions on WJEC A Level Maths 4.3 Statistical hypothesis testing (A-level only), covering 4.3.1 Statistical hypothesis testing (A-level only) and 4.3.2 Statistical hypothesis testing (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank