Examples and practice
Hypothesis tests for a mean
Back to lessonPractice section 1 · Questions 1–6
Assess Alice’s claim about mean mass · Turn three claims into hypotheses · +4 more
Practice section 2 · Questions 7–12
Test cereal mass and invert a two-sided rejection · Reverse a known-variance test for mean time and sample size · +4 more
- Test cereal mass and invert a two-sided rejection
- Reverse a known-variance test for mean time and sample size
- Test the claimed bulb power and change the sample size
- Test a longer-life bulb claim using CLT
- Find the spending rejection boundary without over-rounding
- Test standby time and compare significance statements
Practice section 3 · Questions 13–18
Pool battery samples before calculating a test · Find the reference means rejected by an upper-tail test · +4 more
- Pool battery samples before calculating a test
- Find the reference means rejected by an upper-tail test
- Distinguish unbiased variance, estimated SD and significance
- Test a minimum string length and interpret a strict boundary
- Test a revision-time claim and find a minimum sample size
- Invert a two-sided test without imposing integer means
Practice section 4 · Questions 19–24
Find significance levels that reject a wage claim · Test a filling machine using a sample standard deviation · +4 more
- Find significance levels that reject a wage claim
- Test a filling machine using a sample standard deviation
- Interpret an upper-tail p-value in context
- Deduce a one-sided result from a two-sided rejection
- Compare tests before and after pooling two samples
- Audit the sampling frame and a frequency-table test
Practice section 5 · Questions 25–26
Separate a large-sample test from a known-variance test · Distinguish the target population and invert a non-rejection condition