t-distribution t-statistic covers; Test for the mean of a normal distribution with unknown variance using a t-statistic with appropriate degrees of freedom Construct confidence intervals, symmetric or otherwise, from small samples, for the mean of a normal distribution with unknown variance using the t-distribution. These PowerPoints form full lessons of work that together cover the full A level Further Maths course for the AQA exam board. Together all the PowerPoints include; • A complete set of notes for students • Model examples • Probing questions to test understanding • Class questions including answers • Individual whiteboard work • Links to exercises in ‘AQA approved textbooks by Camb uni Press’ these can easily be edited for your textbook The PowerPoints can be used in the lesson and also given to students that have missed a lesson Videos of the lessons are all on You Tube so you can see the PowerPoint lessons fully first Please leave a review as it will really help me to improve my resources

This is a student workbook that can supplement lessons on hypothesis tests for a population mean. I teach the stages of hypothesis testing using analogies to a criminal trial. My students like this comparison; they are more engaged and it helps them to see the relevance of the different stages. Once students are confident with the terminology, we create our own courtroom in the classroom and role-play the stages of hypothesis testing with students acting as the jury, prosecution, judge and defence. Contents of the workbook 1. A summary of the 5 stages of hypothesis testing 2. A detailed analogy to a criminal trial 3. One worked example 4. Space for students to complete their own examples. 5. Worksheets on: a. the null and alternative hypothesis b. type I and type II errors c. checking assumptions d. sampling distributions e. the normal distribution f. the t-distribution g. interpreting p-values Answers for worksheets provided in separate document. The preview file shows a selection of pages from the workbook.

Did you know that 75% of A Level Biology questions now contain some Maths content from 30 different numerical techniques? This 350+ question multi-choice quiz assembles all the Biology numeric calculations all in one place, and will help with revision and prepare you for the new specification A Level exam. Some good A Level Biology students lose marks because they are worried by the maths - but with practice and confidence it can be mastered. This interactive quiz identifies your right answers and also points to gaps in a scored checkout test. I also run an on-line course to support this. Maths for A Level Biology covers obvious requirements like mean, interpreting graphs, rounding, percentage change and standard form; but also extends for example to: genetic probabilities, reaction rates, diversity index, NPP and statistical tests like Chi², Spearman, P – value, Hardy Weinberg , Also questions on variables and results in the 12 core practical experiments. In fact anything that involves a number! When you enter an answer by clicking, entering a,b,c or a number you get an immediate correct/try again colour coded answer. There is a reset button to start again. You can add questions with just a modicum of Excel skills. In the very latest V 6.0 version more questions have been added reflecting the most up to date papers’ question style and also Coronavirus and COVID-19. And for 2022 an indication of priority A Level practicals.

Interactive powerpoint and spreadsheet to demonstrate and calculate the following statistical functions required for A Level Biology: Standard Error Standard Deviation Chi-Squared for ecological studies Chi-Squared for phenotype ratios Student’s t-test for unpaired data Student’s t-test for paired data Spearman’s Ranked Coefficient of Correlation Where degrees of freedom and p=0.05 confidence levels are used they are automatically calculated from the inputted data and an indication is shown as to whether a null hypothesis for the data is to be accepted or rejected. The power point goes step by step through each statistical test, describing how to use it, how to calculate each one and what the results mean. The work sheet contains exam style questions and answers upon chi-squared which is covered with a step by step explanation at the end of the power point. A watermarked preview video if the ppt can be found at https://youtu.be/1LcW3EO0MpU

This interactive flowchart helps you decide which statistics test to perform based on the type of data you have and what you are looking for. If you click on each of the categories it brings up a help bubble with a descriptor of what it means. If you click on each statistical test it brings up a complete worked example of how to perform that test. It also includes a help sheet and example questions on reading from a table of critical values. My students have found this invaluable in helping them navigate which test to use, but also as a visual display to aid their memory.

A collection of resources I have picked up and adapted along the way when teaching statistic elements of A Level Biology. These resources focus on Chi Squared and Students T Test. The stats booklet I refer to is an unedited version from another user which can be found via a TES search.

A presentation that explains to the students what the Poisson distribution is and how to solve a range of problems using the Poisson distribution. This includes the graphs of Poisson distributions as well as the mean, variance and standard deviation. A presentation that introduces the t-distribution and how it is used for samples below a size of 30. It shows the students how to use the standard tables to find confidence intervals using t-distribution. SMART Notebook Express presentations can be used for free by using SMART online or by downloading SMART software, also free, I use it because it allows a more interactive presentation than a powerpoint. Just search 'SMART Notebook Express' and try it with my free SMART resource.

Enhance your preparation for your External exams! This is the solutions of Cambridge International AS & A Level 9231/13 Further pure 1 - Mathematics Oct/Nov 2023- paper 1. Handwritten with precision and clarity, this resource offers comprehensive solutions to every question on the exam. Each solution is presented step-by-step, guiding you through the problem-solving process with detailed explanations and breakdown of the marks.

“Thorough solutions for CIE Cambridge International AS & A Level 9231/41 Mathematics May/June 2022 Paper 4 Further Probability & Statistics.” This resource offers comprehensive solutions for every question in the CIE Cambridge International AS & A Level 9231/41 Mathematics May/June 2022 Paper 4 Further Probability & Statistics exam. Each solution is meticulously crafted to provide clear explanations of the concepts involved, detailed step-by-step guidance on problem-solving strategies, and insightful commentary on key techniques and methodologies.

Give your A level students a tables test! How quickly and accurately can they find the correct values from the statistical tables? Covers Poisson, Chi-squared and critical values for hypothesis testing with the normal distribution and Student's t-distribution. Presented in simple, no-frills ppt format.

These are compilation of exam questions as revision papers.

These are extensive notes that I have made to teach this SQA Course. Includes many example questions and follow ups on Excel. I’ve also included here a course outline, essential exam skills and a practice exam with solutions. *Updated 2020 to have Course Notes for pupils (with spaces for answers) and Course Notes for teachers (answers filled in) *Updated 2022 with corrections

Thirteen homeworks each with full solutions, covering the following areas of the course. 1 - Probability 2 - Probability, Sampling, Binomial 3 - Probability, Sampling, Binomial 4 - Binomial, Normal, Poisson #1 5 - Distributions 5a - Distributions and Regressions 6 - Hypothesis Test 7 - Normal Approximation 8 - Control charts, Confidence Interval, Fences 9 - Mean and Variance 10 - Binomial, Normal, Poisson #2 11 - Z and T tests 12 - More Distributions 13 - Wilcoxon and Mann Whitney For some of the homeworks (2,3,5) I have made slightly different alternative versions and they are included too. Update: homeworks 2,5,7 updated March 2023

These notes complement my Course Notes for this SQA course. They include more further examples, more complicated statistical tests and links to Excel for examples.

Extra resources for this SQA course: - a guide to conducting six experiments and some example data - a guide to hypothesis tests including Excel spreadsheets to work on - some example experimental data and the output of applying statistical tests to it

A one page summary of the four different types of two sample tests: Mann Whitney Wilcoxon Z-test T-test Also extra questions on two sample z-tests for proportions

A resource for pupils studying at Advanced Higher (A Levels) and above, which details the use of inferential statistics in the field of geoscience. May be of use to teachers of geography, the sciences or even as an application in a mathematics or statistics course. Of use for helping to achieve problem solving, data handling and numeracy learning outcomes. All content released under a CC BY license. Authors: Kay Douglas and Sophie Flack © University of Edinburgh Keywords: Biology/data and statistics/data handling, Environmental science/data and statistics/data handling, Chemistry/data and statistics/data handling University of Edinburgh, EdUniOERGeo