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 DMS in trained wine testers is about 25 micrograms per liter of wine (µg/l). The untrained noses of consumers may be less sensitive, however. Here are the DMS odor thresholds for 10 untrained students:
31 31 43 36 23 34 32 30 20 24
Assume that the odor threshold for untrained noses is normally distributed with σ = 7 µg/l. Is there evidence that the mean threshold for untrained tasters is greater that 25µg/l?
1. The appropriate test to use is
a. T Test
b. 1-Prop Z test
c. Z Test
d. Paired T test
2. The appropriate type of test to use based on the tails of the distribution
a. Left-tailed
b. Two-tailed
c. Right-tailed
3. The p-value of the test is closest to
a. 0.0289
b. 0.0431
c. 0.0134
d. 0.0074