All questions on this quiz refer to some of the information given here:
Sulfur compounds such as dimethyl sulfide (DMS) cause “off odors” in wine, so winemakers want to know the odor threshold, the lowest concentration of DMS that the human nose can detect. Different people have different thresholds, so we start by asking about the mean threshold in the population of all adults. Scientific research shows that in the population of all adults, this mean is 25 micrograms per liter and the standard deviation is 7 micrograms per liter. Here are the odor thresholds (measured in micrograms of DMS per liter of wine) for 10 randomly chosen subjects
28 40 28 33 20 31 29 27 17 21
Question 1 (1 point)
Saved
The sample mean is
Question 1 options:
x̄ = 27.40 

x̄ = 25 

μ = 27.40 

μ = 25 
Question 2 (1 point)
Saved
The population mean is
Question 2 options:
x̄ = 27.40 

μ = 27.40 

x̄ = 25 

μ = 25 
Question 3 (1 point)
Saved
The sample standard deviation is
Question 3 options:
s = 7 
σ = 7 
σ = 6.75 
s = 6.75 
Question 4 (1 point)
Saved
The population standard deviation is
Question 4 options:
s = 7 
σ = 6.75 
σ = 7 
s = 6.75 
Question 5 (1 point)
The value 27.4 is a
Question 5 options:
parameter 

statistic 

neither a parameter nor a statistic 

both a parameter and a statistic 

none of these 
Question 6 (1 point)
The value 25 is a
Question 6 options:
none of these 

both a parameter and a statistic 

statistic 

neither a parameter nor a statistic 

parameter 
Question 7 (1 point)
If we repeatedly take SRS’s of size n = 10 wine tasters and calculate the mean DMS threshold for each sample, we will find the sampling distribution of x̄ is
Question 7 options:
exactly Normal, with mean 25 and standard deviation 7. 

uniform, values will be evenly spread out between 0 and 50. 

cannot be determined until we actually see all possible samples. 

Constant : the value of x̄ can only be 27.4 

approximately Normal, with mean 25 and standard deviation 2.214 
Question 8 (1 point)
The answer to the last question is because of
Question 8 options:
the Central Limit Theorem 

the Law of Large Numbers 

statistical significance. 

population distribution. 
Question 9 (1 point)
One particular study done by a winery plans to start with a (new random) sample of 10 people and test their DMS thresholds. What is the probability that they find a sample mean x̄ less than 23?
Question 9 options:
 0.90 

We cannot tell without more data from another sample. 

50%, because the sample mean must be either larger or smaller than the population mean. 

0.3897 

0, because we already have a sample with x̄ = 27.4 

0.8159 

1, because the last sample had x̄ larger than 25, the next one must have x̄ lower than 25. 

 0.28 

0.6103 

0.1841 
Question 10 (1 point)
One particular study done by a winery plans to start with a (new random) sample of 10 people and test their DMS thresholds. What is the probability that they find a sample mean x̄ greater than 23?
Question 10 options:
50%, because the sample mean must be either larger or smaller than the population mean. 

 0.90 

0.8159 

0, because we already have a sample with x̄ = 27.4 

We cannot tell without more data from another sample. 

0.3897 

0.1841 

 0.28 

1, because the last sample had x̄ larger than 25, the next one must have x̄ lower than 25. 

0.6103 
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