DP Further Mathematics HL Questionbank

• Syllabus

4.1

Sub sections and their related questions

Finite and infinite sets. Subsets.

• 16M.1.hl.TZ0.1a: Explain why only one of the following statements is true (i)     \(17 \subset P\); (ii)    ...
• 18M.1.hl.TZ0.7a: An investigator wishes to test the hypotheses H0 : μ = 65, H1 : μ > 65. He decides on the...
• 18M.1.hl.TZ0.7b.i: She decides to use the same acceptance criteria as the previous investigator. Find the...
• 18M.1.hl.TZ0.7b.ii: Find the critical value for \({\bar x}\) if she wants the probabilities of a Type I error and a...

Operations on sets: union; intersection; complement; set difference; symmetric difference.

• 16M.1.hl.TZ0.1a: Explain why only one of the following statements is true (i)     \(17 \subset P\); (ii)    ...
• 18M.1.hl.TZ0.7a: An investigator wishes to test the hypotheses H0 : μ = 65, H1 : μ > 65. He decides on the...
• 18M.1.hl.TZ0.7b.i: She decides to use the same acceptance criteria as the previous investigator. Find the...
• 18M.1.hl.TZ0.7b.ii: Find the critical value for \({\bar x}\) if she wants the probabilities of a Type I error and a...

De Morgan’s laws: distributive, associative and commutative laws (for union and intersection).

• 18M.1.hl.TZ0.7a: An investigator wishes to test the hypotheses H0 : μ = 65, H1 : μ > 65. He decides on the...
• 18M.1.hl.TZ0.7b.i: She decides to use the same acceptance criteria as the previous investigator. Find the...
• 18M.1.hl.TZ0.7b.ii: Find the critical value for \({\bar x}\) if she wants the probabilities of a Type I error and a...