Nuffield Mathematics teaching resources are for use in secondary and further education

Level 3 Hypothesis testing

Successful HE applicants

Students carry out significance tests on proportions to test hypotheses about successful applicants to higher education.

Slides (1.5 MB)  
Student data (358 KB)     
Student Word (1 MB)  
Student sheets pdf (538 KB)
Teacher notes Word (73 KB)
    
Teacher notes pdf (344 KB) 

Gender differences

Students carry out significance tests on means in order to test hypotheses about the body measurements of boys and girls at different ages. 

Slides (1.5 MB)  
Data for students (856 KB)
    
Data for teachers (1134 KB)     
Student Word (292 KB)  
Student sheets pdf (575 KB)  
Teacher notes Word (74 KB)
    
Teacher notes pdf (359 KB)  

Parking permits 

Students learn about collecting data by stratified sampling and designing a questionnaire.

Slides (1.3 MB)  
Student sheets Word (301 KB) 
Student sheets pdf (600 KB)  
Teacher notes Word (87 KB)  
Teacher notes pdf (500 KB)  

Probability 

Students use relative frequency to estimate probability. They find theoretical probabilities including probabilities of combined events. They use probabilities to predict the expected number of trials in which an event will occur.

Slides (1.7 MB)  
Student sheets Word (538 KB) 
Student sheets pdf (571 KB)  
Teacher notes Word (208 KB)  
Teacher notes pdf (396 KB)  

Laws of probability  

The addition law for probabilities of mutually exclusive events and the multiplication law for probabilities of independent events are introduced. Students then use these laws to tackle some probability problems.

Slides (1.3 MB)   
Student sheets Word (590 KB)  
Student sheets pdf (692 KB)  
Teacher notes Word (241 KB)    
Teacher notes pdf (165 KB)  

Rain or shine 

Students use sunshine and rainfall data to carry out significance tests on the difference between sample means. They use a calculator or a spreadsheet to calculate mean and standard deviation values.

Calculator version slides (1.8 MB)  
Calculator version student Word (345B)  
Calculator version student pdf (581 KB)  

Spreadsheet version slides (1.8 MB)  
Student data spreadsheet (191 KB)
     
Spreadsheet version student sheets Word (207 KB)  

Spreadsheet version student sheets pdf (592 KB) 

Teacher notes Word (78 KB)    
Teacher notes pdf (433 KB) 
Teacher spreadsheet spreadsheet (205 KB) 
 
Teacher calculator spreadsheet (205 KB)
  

Can they tell the difference?

Students use a triangle test to decide whether or not people can tell the difference between a product and a healthier alternative.
 Slides (1.6 MB)   

 Student sheets Word (523 KB)
  
 Student sheets pdf (115 KB)  

 Teacher notes Word (72 KB)     

 Teacher notes pdf (95 KB)