Chapter 3: Further Statistics 1: Hypothesis Testing

A-level Further MathsFurther Statistics 1 & 22 topicsHigher

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Further Statistics 1: Hypothesis Testing: Edexcel Further Maths Optional Long-Answer Questions

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4 questions32 marks64 min

standard / hard / synoptic

8 marksfindstandardEdexcel

FS03-1 Find the required result for Further Statistics 1: Hypothesis Testing. Given A factory claims defect probability p = 0.08. In a sample of 40 items, 7 are defective. Use set up a one-tailed binomial test and calculate a critical region. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

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8 marksshow thathardEdexcel

FS03-2 Show that P(X

\geq

7 | n=40, p=0.08) is the relevant upper-tail probability for Further Statistics 1: Hypothesis Testing. Start from A factory claims defect probability p = 0.08. In a sample of 40 items, 7 are defective. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

8 marksdeterminehardEdexcel

FS03-3 Determine the requested value in this structured Further Statistics 1: Hypothesis Testing problem: state the conclusion at the 5% level. Use the same data: A factory claims defect probability p = 0.08. In a sample of 40 items, 7 are defective. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

8 markshencesynopticEdexcel

FS03-4 Hence use the result P(X

\geq

7 | n=40, p=0.08) is the relevant upper-tail probability to complete the extension for Further Statistics 1: Hypothesis Testing: state the conclusion at the 5% level. (8 marks)

Define the variables, diagram labels, distribution parameters or algorithm table columns needed.
Substitute the concrete values from the question before simplifying.
Show the intermediate line that earns the main method mark.
Complete the calculation, table trace or proof and state the final result.

0 characters

Write your answer first, then mark it.

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2. Further Statistics 1: The Poisson Distribution

4. Further Statistics 1: Chi-Squared Tests

Key learning objectives

Understand the key principles behind Further Statistics 1: Hypothesis Testing.
Apply these ideas to exam-style questions.
Recall the essential definitions and key terms.