Exam-style question
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Use a checking method for this problem: A test statistic is not in the critical region at the 5% significance level. State the conclusion. State the final answer and verify it against the information in the question.
Model answer
What a good answer should say
- A valid checked answer is do not reject H0.
- The method is: State H0 as the null hypothesis and H1 as the alternative hypothesis.
- Compare the test statistic with the critical region at the 5% significance level.
- The test statistic is outside the critical region.
This answer is tied to the objective: O3 Conduct a statistical hypothesis test for the mean of a Normal distribution with known, given or assumed variance and interpret the results in context..
Explanation
Why this works
Use the explanation to connect the worked answer back to O3 Conduct a statistical hypothesis test for the mean of a Normal distribution with known, given or assumed variance and interpret the results in context..
calculator check keeps the canonical answer do not reject H0 fixed before the model answer is written, so the worked solution and final answer agree.
Maths method check
- Topic focus: Statistics.
- Question style: exam_style.
- Reasoning demand: recall.
- Check the operation, notation, units, and final answer form against the question before moving on.
Common mistake
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