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H2 Math Summary Notes
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Pure Mathematics
Unit 1 Inequalities1 Question 
Unit 2 Graphing Techniques7 Questions

Unit 3 Transformation of Graphs2 Questions

Unit 4 Functions6 Questions

Unit 5 APGP & Recurrence Relations6 Questions

Unit 6 Sigma Notation6 Questions

Unit 7 Techniques of Differentiation2 Questions

Unit 8 Applications of Differentiation9 Questions

Unit 9 Maclaurin Series2 Questions

Unit 10 Techniques of Integration6 Questions

Unit 11 Applications of Integration4 Questions

Unit 12 Differential Equations2 Questions

Unit 13 Vectors11 Questions

Unit 14 Complex Numbers6 Questions

StatisticsUnit 15 Permutation and Combinations7 Questions

Unit 16 Probability5 Questions

Unit 17 Discrete Random Variable4 Questions

Unit 18 Binomial Distribution5 Questions

Unit 19 Normal Distribution7 Questions

Unit 20 Sampling and Estimation8 Questions

Unit 21 Hypothesis Testing6 Questions

Unit 22 Correlation and Linear Regression5 Questions
Lesson 21,
Question 5
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Worked Example 5
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A sample of \(80\) light bulbs is taken from a population with a mean lifetime of \(1500\) hours. The lifetime, \(x\) hours, of each lightbulb was recorded and the following data are obtained:
\(\sum{x=110200}\) and \(\sum{{{x}^{2}}}=180512000\)
A statistical test is carried out at a \(8\%\) level of significance, and it is found that the population mean lifetime is not \(1500\) hours.
(i)
State what you understand by the expression at the \(8\%\) significance level in the context of the question.
(ii)
Find the range of the level of significance at which the test will indicate that the population mean lifetime is not \(1500\) hours.
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