The week 3 measurement in the data set of Problem is suspected of being an outlier. Use the Q test to determine if the value can be rejected at the 95% confidence level.
Problem
Sewage and industrial pollutants dumped into a body of water can reduce the dissolved oxygen concentration and adversely affect aquatic species. In one study, weekly readings are taken from the same location in a river over a two-month period.
Week Number | Dissolved O2, ppm |
1 | 4.9 |
2 | 5.1 |
3 | 5.6 |
4 | 4.3 |
5 | 4.7 |
6 | 4.9 |
7 | 4.5 |
8 | 5.1 |
Some scientists think that 5.0 ppm is a dissolved O2 level that is marginal for fish to live. Conduct a statistical test to determine whether the mean dissolved O2 concentration is less than 5.0 ppm at the 95% confidence level. State clearly the null and alternative hypotheses.
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