Determine Normality of Single Observation with Z-Test
GoogleData Scientist · Technical Screen
Last updated
Evaluates hypothesis testing for a single observation against a fully specified standard normal distribution. Strong answers state hypotheses, use z = x, define critical values and p-values, and note limitations.
Scenario
You have a single numeric observation and want to know if it was drawn from a standard normal distribution.
Question
Which statistical test would you apply to decide whether that single observation comes from a normal distribution? State the null and alternative hypotheses and the decision rule.
Hints
Compute a z-score and compare it to critical values of the standard normal.
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