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 25 micrograms 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 (a) Assume that the standard deviation of the odor threshold for untrained noses is known to be ?=7?g/Lσ To access the complete data set, click the link for your preferred software format: Do the three simple conditions hold in this case? Make a stemplot and use it to check the shape of the distribution. (b) STATE: What is the average (mean) DMS odor threshold, ?μ , for all untrained people? PLAN: Using the four‑step process, give a 95%95% confidence interval for the mean DMS odor threshold among all students. SOLVE: We have assumed that we have a random sample and that the population from which we are sampling is Normal. Find ?¯x¯ . (Enter your answer rounded to one decimal place.) ?¯= Find the standard deviation, ??√,σn, of the sampling distribution of ?¯ (Enter your answer rounded to four decimal places.) ??√=

Name: Sulfur compounds cause "off‑odors" in wine, so winemakers want to know
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Description: 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 25 microg

Intermediate Algebra

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ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

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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 25 micrograms 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.

(a) Assume that the standard deviation of the odor threshold for untrained noses is known to be ?=7?g/Lσ

To access the complete data set, click the link for your preferred software format:

Do the three simple conditions hold in this case? Make a stemplot and use it to check the shape of the distribution.

(b) STATE: What is the average (mean) DMS odor threshold, ?μ , for all untrained people?

PLAN: Using the four‑step process, give a 95%95% confidence interval for the mean DMS odor threshold among all students.

SOLVE: We have assumed that we have a random sample and that the population from which we are sampling is Normal. Find ?¯x¯ . (Enter your answer rounded to one decimal place.)

?¯=

Find the standard deviation, ??√,σn, of the sampling distribution of ?¯ (Enter your answer rounded to four decimal places.)

??√=

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