IB skill practice

Test a normal population mean

Calculate a z statistic for the population mean of a normal distribution.

Paper 1, Paper 2 5 marks Difficulty 4

Test a normal population mean - official syllabus scenario

Read the official-HL feature being tested first. A school study normal population has known \(\sigma=11\). Test statistic data are \(\bar x=52.6\), \(\mu_0=50\), and \(n=43\). Calculate z. Enter the requested value and choose the interpretation that matches the result.

Worked practice: result and interpretation

Calculate the requested result first, then choose the interpretation that follows from it.