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Inferential Statistics · Paper 2 — Free Maths AA HL Practice Questions
1MasterySAQ-SHypothesis testing and confidence intervalss6 marksPaper 2~9 min
A pharmaceutical company claims that a new drug reduces the mean recovery time from a certain illness to less than 7 days. A random sample of 50 patients who took the drug had a mean recovery time of 6.5 days and a standard deviation of 2.1 days. A hypothesis test is conducted at the significance level.
(a)
State the null hypothesis and the alternative hypothesis for this test. [1 mark]
(b)
Calculate the value of the test statistic. [2 marks]
(c)
The -value for the test is (to 3 significant figures). A statistician argues that, because the -value is only just below , the result provides weak evidence against and the company's claim should not yet be acted upon. Evaluate this argument. [3 marks]
Solutions
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