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the odor threshold for demthyl sulfide DMS intrained wine tasters is about 25 mi

ID: 2955023 • Letter: T

Question

the odor threshold for demthyl sulfide DMS intrained wine tasters is about 25 micrograms per liter of wine. Theuntrained nose of consumers may be less sensitive, however. Hereare the DMS odor threshold for 10 untrained students:
31 31 43 36 23 34 32 30 20 24

A) Assume that the standard deviation of the odor threshold foruntrained noses is known to be standard deviation = 7. brieflydiscuss the other two simple conditions using stemplots to verifythat the distribution is roughly symmetric with no outliers.

B) Give a 95% confidence interval for the mean DMS odor thresholdamong all students. the odor threshold for demthyl sulfide DMS intrained wine tasters is about 25 micrograms per liter of wine. Theuntrained nose of consumers may be less sensitive, however. Hereare the DMS odor threshold for 10 untrained students:
31 31 43 36 23 34 32 30 20 24

A) Assume that the standard deviation of the odor threshold foruntrained noses is known to be standard deviation = 7. brieflydiscuss the other two simple conditions using stemplots to verifythat the distribution is roughly symmetric with no outliers.

B) Give a 95% confidence interval for the mean DMS odor thresholdamong all students.

Explanation / Answer

Given xbar=30.4 and s=6.75 (based on the data) =0.05, |Z(0.025)|=1.96 (check normal table) (B) The 95% CI is xbar± Z*s/n --> 30.4 ± 1.96*6.75/sqrt(10) --> (26.216, 34.583)