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A-Level MathematicsYear 2020Q1

2 1 Gina receives a large number of packages from two companies, A and B. She believes that the variance of the weights of packages from company A is greater than the variance of the weights of packages from company B. Gina takes a random sample of 7 packages from company A and an independent random sample of 10 packages from company B. Her results are summarised below a = 300 Saa = 145 496 b = 233.4 Sbb = 56 364.4 [You may assume that the weights of packages from the two companies are normally distributed.] Test Gina’s belief. Use a 5% level of significance and state your hypotheses clearly. (6) ___________________________________________ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ___________________________________________

Paper Source:9FM0_4B_que_20201024.pdf

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Exam Specification Info

This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.

Syllabus levelAdvanced Level (A-Level)

SubjectMathematics

Official MarksVariable (2–6 marks)