📊 Part 1: Understanding Sampling Methods

1. Which sampling method would be MOST appropriate to find out the favourite sport of students at your school?

Survey every student in Year 7 only

Survey 5 students from each year level

Survey the first 30 students who arrive at school

Survey students only from the basketball team

2. A chocolate company wants to test the quality of their products. Which sampling methods would give reliable results? (Tick all that apply)

Test every 50th chocolate bar from the production line

Test only the first 20 chocolate bars made each day

Randomly select 100 chocolate bars from different batches

Test chocolate bars only from one factory

3. What is the main problem with convenience sampling?

It takes too long to collect data

It may not represent the whole population

It costs too much money

It requires special equipment

4. A sample size of 1000 people is usually _____________ reliable than a sample size of 50 people.

Answer: _____________

🎯 Part 2: Design Your Own Investigation

5. You want to investigate: "How many hours per week do Australian teenagers spend on social media?"

a) Describe your target population:

b) Design a sampling method that would give you reliable results. Explain your choice:

c) What sample size would you choose and why?

d) Identify two potential problems with your sampling method:

📈 Part 3: Interpreting Sampling Results

6. A survey of 200 people at a shopping centre found that 75% prefer Brand A cereal over Brand B. The company claims "3 out of 4 Australians prefer Brand A!"

a) Is this claim valid? Explain why or why not:

b) What could be wrong with this sampling method?

7. A school surveyed 50 students randomly selected from all year levels about their preferred lunch option. Results showed: 40% prefer sandwiches, 35% prefer hot food, 25% prefer salads.

a) Can the school use these results to plan lunch orders for all 800 students? Explain:

b) What recommendations would you make to improve this investigation?