How large an srs of untrained students do you need


Sulfur compounds cause "off-odors" in wine, so winemaker want to know the odor threshold, the lowest concentration of a compound that the human nose can detect. The odor threshold for dimethyl sulfide (DMS) in trained wine tasters is about 25 micrograms per liter of wine. The untrained noses of consumers may be less sensitive, however. Here are the DMS odor thresholds for 10 untrained students:

30,30,42,35,22,33,31,29,19,23

You want to estimate the mean DMS odor threshold among all students, and you would be satisfied to estimate the mean to within +- 0.1 with 99% confidence. The standard deviation of the odor threshold for untrained noses is known to be standard deviation = 7 micrograms per liter of wine. How large an SRS of untrained students do you need?

 

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