Empower your students and elevate your lessons with our expertly designed lesson booklet/worksheet for teaching proof by induction. Cover these critical concepts with confidence: Summation of Series General Terms in Sequences Divisibility Rules Matrix Products Complex Numbers Reduction Formulae Finding the 𝑛𝑡ℎ Derivative

Derive standard results for ∑r, ∑r^2 and ∑r^3 Use the standard series for for ∑r, ∑r^2 and ∑r^3 to find related sums Use method of difference to finite sum of series Use partial fraction to find sum of series Find sum of infinity to convergent series

Formulate hypotheses concerning the difference of population means, and apply, as appropriate – a paired sample t-test – a test using a normal distribution

Formulate hypotheses and apply a hypothesis test concerning the population mean using a small sample drawn from a normal population of unknown variance, using a t-test Calculate a pooled estimate of a population variance from two samples Formulate hypotheses concerning the difference of population means, and apply, as appropriate – a 2-sample t-test – a paired sample t-test – a test using a normal distribution Determine a confidence interval for a population mean, based on a small sample from a normal population with unknown variance, using a t-distribution Determine a confidence interval for a difference of population means, using a t-distribution or a normal distribution, as appropriate.

Sign Test PPT Paired Sign Test PPT One Sample Wilcoxon Sign Rank Test PPT Wilcoxon-Matched-Pairs Sign-Rank Test PPT Wilcoxon Rank-Sum Test PPT

Sign Test PPT Paired Sign Test PPT One Sample Wilcoxon Sign Rank Test PPT Wilcoxon-Matched-Pairs Sign-Rank Test PPT Wilcoxon Rank-Sum Test PPT

Use a Wilcoxon matched-pairs signed-rank test as appropriate, to test for identity of populations.

Use a a single-sample Wilcoxon signed-rank test to test a hypothesis concerning a population median

Use a single-sample sign test to test a hypothesis concerning a population median

Use a Wilcoxon rank-sum test, as appropriate, to test for identity of populations.

Use a paired-sample sign test as appropriate, to test for identity of populations.