Zar (1999) reports on the results of a study comparing concentrations of nitrogen oxides and hydroca
Question: Zar (1999) reports on the results of a study comparing concentrations of nitrogen oxides and hydrocarbons (in \(\mu \) g/m3) in an urban area that shall remain nameless (well, Zar forgot to name it, anyway). Both pollutants were measured on a representative sample of 11 days, with the following results:
Day | Nitrogen Oxides (NO) Hydrocarbons (H) | Difference (H – NO) |
1 | 104 108 | +4 |
2 | 116 118 | +2 |
3 | 84 89 | +5 |
4 | 77 71 | –6 |
5 | 61 66 | +5 |
6 | 84 83 | –1 |
7 | 81 88 | +7 |
8 | 72 76 | +4 |
9 | 61 68 | +7 |
10 | 97 96 | –1 |
11 | 84 81 | –3 |
Mean | 83.7 85.8 | +2.1 |
SD | 16.9 16.4 | 4.3 |
(a) Does the mean difference in pollutant concentration seem large to you in practical terms? Explain briefly. [5 points]
(b) Set up a statistical model for this situation, being explicit about the population, sample and imaginary data sets, and use your model (including the usual inferential summary) to build a 95% confidence interval for the population mean difference in pollutants (what is the population here, precisely?). Is this difference large in statistical terms? Explain briefly. [10 points]
Deliverables: Word Document