Question: This wine stinks. Sulfur compounds cause "off-odors" in wine, so winemakers want to know the odor threshold, the lowest concentration of a compound that the human nose can detect. The odor threshold for dimethyl sulfde (DMS) in trained wine tasters is about 25 micrograms per liter of wine ( \(\mu \mathrm{g} / \mathrm{l}\) ). The untrained noses of consumers may be less sensitive, however. Here are the DMS odor thresholds for 10 untrained students:

Assume that the odor threshold for untrained noses is Normally distributed which \(\sigma=7 \mu \mathrm{g} / 1 .\) Is there evidence that the mean threshold for untrained tasters is greater than \(25\mu g/l\) ? Follow the four-step process, as illustrated in Example 15.8, in your answer.

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