SME
Grade 12 Math
Hypothesis tests for one and two samples
The main lesson, then each kind of problem it solves.
Hypothesis tests for one and two samples
Main lesson
One-mean z-test
Use this for “Is the mean less than μ₀?” (or more than, or different from) with σ known.
One-mean t-test
Use this for “A sample of 16 has mean 496 g and s = 8 g. Is the mean different from 500 g?”
Matched pairs t-test
Use this for “Twelve students gained 2.5 points on average after a review, s = 3.2. Did the review change scores?”
Two-proportion z-test
Use this for “84 of 150 people sent a reminder voted, against 66 of 150 who were not. Is there a difference?”
Two-sample t-test for means
Use this for “Do two groups have different means?” from two independent samples.
Which alternative hypothesis?
Use this for “Write H₀ and Hₐ for the claim that the new bulbs last longer.”
Type I or Type II error?
Use this for “Name a Type I and a Type II error for this test.”