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 sulfide (DMS) in trained wine tasters is about 25micrograms per liter of wine (?g/L ). The untrained noses of consumers may be less sensitive, however. The DMS odor thresholds for 10 untrained students are given.   30 30 42 35 22 33 31 29 19 23   SOLVE: We have assumed that we have a random sample and that the population from which we are sampling is Normal. Find ?¯ . (Enter your answer rounded to one decimal place.) ?¯=   ?g/? Find the standard deviation, ??√, of the sampling distribution of ?¯. (Enter your answer rounded to four decimal places.) ??√=

Question

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 sulfide (DMS) in trained wine tasters is about 25micrograms per liter of wine (?g/L ). The untrained noses of consumers may be less sensitive, however. The DMS odor thresholds for 10 untrained students are given.

 

30 30 42 35 22 33 31 29 19 23

 

SOLVE: We have assumed that we have a random sample and that the population from which we are sampling is Normal. Find ?¯ . (Enter your answer rounded to one decimal place.)
?¯=
 
?g/?
Find the standard deviation, ??√, of the sampling distribution of ?¯. (Enter your answer rounded to four decimal places.)
??√=
 

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