Which assumptions a z-test for a mean needs
Question
Rishab plans a z-test about a population mean. Which of these conditions are required?
(1) the population variance is known;
(2) the data form a random sample from the population;
(3) the sample mean is approximately normally distributed;
(4) at least observations are collected.
Give the required condition numbers in increasing order as one number (e.g. for conditions 2 and 4).
Short answer
. A z-test needs a known (or reliably estimated) variance, a random sample, and an approximately normal sample mean. The rule is only a heuristic for getting normality via the CLT; if the population is itself normal, any works.
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Open the worked solutionLessons behind this question
- Maximum Likelihood Estimation: Score and Log-Likelihood
- Covariance and Correlation
- The Hypothesis Testing Framework
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