Sulfur compounds cause \"off-odors\" in wine, so winemakers want to know the odo

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 27 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.

30 30 26 29 30 31 32 28 31 32 -IT points Ny Nobae Ark Your Toaci Sulfu "off odors" in of a comp detect. The od threshold for dimethyl sulfd 27 micrograms per liter of pounds wine (ug/l). The untrained noses of consumers may be less sensitive, however. Here are the DMS odor thresholds for 10 trained st 29 Assume the odor threshold for untreined noses is Normal y distributed with or 6 ug/l. Is there evidence the mean threshold for untrained tasters is g er than 27 ug/l? (Use a 0.05. He: A B Ha: Round to 2 decima Round to decim Conclusi O Reject He. There is evidence that the mean threshold for untrained tasters is greater than 27 ug/l. Reject H.. There is no evidence that the mean threshol or untrained tasters is greater than 27 Fail to reject Ho. There evidence that the mean threshold for untrained tasters is great than 27 Fail to reject Ho. There idence that the threshold for unt ed tasters ter than 27 ug/l Submit Answer Save Progress points Ny Notes Ask Your Teacher "How much do you plan to spend for gifts this holiday scason?" An interviewer asks this question of 242 customers at a large shopping mall. The sample mean and standard deviation of the responses are R- $227 and s -s64. a) The distribution of spending is skewed, but we can act as though X is Normal. Why is less th theory of relativity e law of large numbers (b) For is large sample, we can act as if d S64 because the sample s will be close to the population o. Use the sample result to give a 95 confidence interval forthe mean giftspending of al adults. Please round your answers to 2 decimal places. to confidence interval can't be trusted to give information abo the spending plans of al adults. Why not o The sample is too small. It should be expanded to other sections of the shopping mal. The populatio s underrepresented. The sample did not lude all adults at that particular opping mi The ple is bi ng tho ple did not cover the entire holiday Ehopping seaso ple is bi It represents only the opinions who shop in mel mile the one wh

Explanation / Answer

Below are the null and alternate hypothesis

H0: u <= 27
H1: u > 27

For given sample, xbar = 29.9
value of test statistics
z = (29.9 - 27)/(6/sqrt(10)) = 1.5284 = 1.53

p-value = 0.0630

As p-value is greater than significance level 0.05, we fail to reject the null hypothesis. There is no evidence that the mean threshold for untrained tasters is greater than 27

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