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:
| Converter | C1C_1C1 | C2C_2C2 | C3C_3C3 | C4C_4C4 | C5C_5C5 | C6C_6C6 | C7C_7C7 | C8C_8C8 |
|---|---|---|---|---|---|---|---|---|
| Before | 42.5 | 38.8 | 45.2 | 40.1 | 39.5 | 41.4 | 43.6 | 37.9 |
| After | 41.3 | 37.0 | 43.7 | 38.0 | 38.1 | 39.7 | 41.7 | 36.7 |
Calculate a 98% confidence interval for the mean difference in pollutant emissions.
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.
209 exam-style questions on CCEA A Level Maths 4.6 Statistical hypothesis testing (A-level only), covering 4.6.1 Statistical hypothesis testing (A-level only), 4.6.2 Statistical hypothesis testing (A-level only), 4.6.3 Statistical hypothesis testing (A-level only), 4.6.4 Statistical hypothesis testing (A-level only), and 4.6.5 Statistical hypothesis testing (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.