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2.5 O: Statistical hypothesis testing

2.5 O: Statistical hypothesis testing

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Question 35

A team of environmental scientists measures the concentration of a specific pollutant (in parts per million, ppm) emitted by eight industrial catalytic converters before and after a specific chemical cleaning process. The emission levels are assumed to be normally distributed. The results for the eight converters are shown in the table below:

ConverterC1C_1C1​C2C_2C2​C3C_3C3​C4C_4C4​C5C_5C5​C6C_6C6​C7C_7C7​C8C_8C8​
Before42.538.845.240.139.541.443.637.9
After41.337.043.738.038.139.741.736.7
a.

Calculate a 98% confidence interval for the mean difference in pollutant emissions.

[6]
b.

Use your confidence interval to determine whether there is evidence of a change in the mean pollutant emissions. State your hypotheses clearly and provide a reason for your conclusion.

[3]
Markscheme

2.5 O: Statistical hypothesis testing Questions

  1. A Level
  2. /Maths
  3. /2.5 O: Statistical hypothesis testing

162 exam-style questions on AQA A Level Maths 2.5 O: Statistical hypothesis testing, covering 2.5.1 Language of hypothesis testing, 2.5.2 Hypothesis test for a binomial proportion, and 2.5.3 Hypothesis test for a Normal mean (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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