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ZIMSEC A-Level Statistics

6.8.2t-tests and chi-squared tests

t-tests and chi-squared tests in ZIMSEC A-Level Statistics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic39 practice questions2 lessons

Overview

Form 6.

Learning objectives

What the syllabus expects you to be able to do.

  1. 6.8.2.1Form 6: describe the characteristics of the t and chi-squared distributions.
  2. 6.8.2.2Form 6: test a population mean using a small sample from a normal distribution of unknown variance (t-test).
  3. 6.8.2.3Form 6: use a chi-squared test for independence in a contingency table and for goodness of fit.

Lessons

  • Chi-squared tests: goodness of fit and independence

    50 min

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  • The t-distribution: small-sample intervals and t-tests

    45 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

t-tests and chi-squared tests: sample question

1 mark

In a contingency table with grand total 150, one cell is in a row with total 60 and a column with total 45. Find the expected frequency for this cell if the classifications are independent.

Only if the answer has a unit, e.g. cm or km/h.

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