WJEC Further Unit 2 2022 June — Question 5

Exam BoardWJEC
ModuleFurther Unit 2 (Further Unit 2)
Year2022
SessionJune
TopicChi-squared distribution

5. John has a game that involves throwing a set of three identical, cubical dice with faces numbered 1 to 6 . He wishes to investigate whether these dice are fair in terms of the number of sixes obtained when they are thrown. John throws the set of three dice 1100 times and records the number of sixes obtained for each throw. The results are shown in the table below.
Number of sixes0123
Frequency6253848110
Using these results, conduct a goodness of fit test and draw an appropriate conclusion.