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CAIE A-Level Mathematics A2 6.5.3 Hypothesis Tests Questions

Practise testing claims about a population mean using sample means, standard deviations and significance levels.

Syllabus
2028–2030
Course
Mathematics 9709
Level
A2

Exam points

  • state hypotheses for a population mean
  • calculate test statistics and critical regions for a mean
  • draw justified conclusions about a population mean

CAIE A-Level Mathematics A2 6.5.3 Hypothesis Tests Questions question 1

[Maximum number: 5]

The score on one spin of a 5 -sided spinner is denoted by the random variable X with probability distribution as shown in the table.

Table for Question CAIE A-Level Mathematics A2 6.5.3 Hypothesis Tests Questions question 1 — CAIE A-Level Mathematics A2

Johann has another, similar, spinner. He suspects that it is biased so that the mean score is less than 2 . He spins his spinner 200 times and finds that the mean of the 200 scores is 1.86 .

Given that the variance of the score on one spin of this spinner is also 1.2 , test Johann's suspicion at the 5\% significance level.

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