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H2 Math Summary Notes
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Pure Mathematics
Unit 1 Inequalities1 Question -
Unit 2 Graphing Techniques7 Questions
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Unit 3 Transformation of Graphs2 Questions
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Unit 4 Functions6 Questions
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Unit 5 APGP & Recurrence Relations6 Questions
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Unit 6 Sigma Notation6 Questions
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Unit 7 Techniques of Differentiation2 Questions
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Unit 8 Applications of Differentiation9 Questions
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Unit 9 Maclaurin Series2 Questions
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Unit 10 Techniques of Integration6 Questions
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Unit 11 Applications of Integration4 Questions
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Unit 12 Differential Equations2 Questions
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Unit 13 Vectors11 Questions
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Unit 14 Complex Numbers6 Questions
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StatisticsUnit 15 Permutation and Combinations7 Questions
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Unit 16 Probability5 Questions
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Unit 17 Discrete Random Variable4 Questions
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Unit 18 Binomial Distribution5 Questions
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Unit 19 Normal Distribution7 Questions
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Unit 20 Sampling and Estimation8 Questions
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Unit 21 Hypothesis Testing6 Questions
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Unit 22 Correlation and Linear Regression5 Questions
Lesson 21,
Question 4
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Worked Example 4
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A bakery claimed that the average number of loaves of bread sold per day is more than \(150\), with variance \(2500\). A random sample of \(50\)days was taken and the sales, \(x\) loaves, for each day were recorded. It was found that
\(\sum{\left( x-140 \right)}=-120\)
(i)
State, with a reason, whether it is necessary to assume that the bread sales follow a normal distribution in order to test this claim at the \(10\%\) significance level.
(ii)
Test at the \(10\%\) significance level whether the bakery’s claim was valid.
Responses