An investigation is conducted into the pollution levels in a major city. The number of 2.5 mm particles can be measured using the Air Quality Index (AQI). The World Health Organization recommends that an AQI of 50 or below will not have a significant effect on health. The AQI is measured for 14 consecutive days. The data are shown in the following table.

a. Explain why the following tests cannot be carried out:

i. A 1-test

ii. A single-sample Wilcoxon signed-rank test.

b. Carry out an appropriate test, at the 5% significance level, to establish whether there is evidence that the AQI is above 50 in the city.

Transcribed Image Text:

45 132 87 103 67 46 90 78 54 79 81 44 65 82