Chapter 10: Further Statistics 2: Estimation, Confidence Intervals and Tests

A-level Further MathsFurther Statistics 1 & 24 topicsHigher

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Further Statistics 2: Estimation, Confidence Intervals and Tests: Edexcel Further Maths Optional Long-Answer Questions

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4 questions32 marks64 min

standard / hard / synoptic

8 marksfindstandardEdexcel

FS10-1 Find the required result for Further Statistics 2: Estimation, Confidence Intervals and Tests. Given A sample of 64 has mean 51.8. The population standard deviation is known to be 8.0. Use construct a z confidence interval and calculate required sample size. (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

FS10-2 Show that the 95% confidence interval is 51.8

\pm

1.96 for Further Statistics 2: Estimation, Confidence Intervals and Tests. Start from A sample of 64 has mean 51.8. The population standard deviation is known to be 8.0. (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

FS10-3 Determine the requested value in this structured Further Statistics 2: Estimation, Confidence Intervals and Tests problem: find n needed for width below 3.0. Use the same data: A sample of 64 has mean 51.8. The population standard deviation is known to be 8.0. (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

FS10-4 Hence use the result the 95% confidence interval is 51.8

\pm

1.96 to complete the extension for Further Statistics 2: Estimation, Confidence Intervals and Tests: find n needed for width below 3.0. (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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9. Further Statistics 2: Combinations of Random Variables

11. Further Statistics 2: Further Hypothesis Tests

Key learning objectives

Understand the key principles behind Further Statistics 2: Estimation, Confidence Intervals and Tests.
Apply these ideas to exam-style questions.
Recall the essential definitions and key terms.