SOCS and Data Types
z-Scores
Empirical Rule
Sampling Methods
Experimental Design
Final Jeopardy
100
The number of chairs in a classroom is this type of variable (be as specific as possible).
What is a discrete quantitative variable?
100
This is what a z-score represents.
What is the number of standard deviations above or below the mean?
100
In a normal distribution, this is the proportion of data within 1 standard deviation of the mean (above or below).
What is 68%?
100
A city has 2,000 registered voters. A researcher uses a computer to randomly select 100 voters from the list so that every possible group of 100 voters has an equal chance of being selected. The sampling method is...
What is simple random sampling (SRS)?
100
This is the difference between a parameter and a statistic.
Parameter -> A value associated with the population
Statistics -> A value associated with a sample
200
The shape of the distribution below
What is right-skewed?
200
Oak trees heights in a forest have a mean of 45ft and a standard deviation of 8ft. One oak tree is 61ft tall. The z-score for this tree's height is...
What is 2?
200
In a normal distribution, this is the proportion of data within 1 standard deviation of the mean (above or below).
What is 95%?
200
A researcher surveys residents of a city about public transportation. They divide residents into three age groups and randomly select 50 residents from each group. The sampling method is...
What is stratified random sampling?
200
The group in an experiment that receives no treatment or a standard treatment for comparison.
What is the control group?
300
The shape of the distribution below
What is bimodal (and symmetric)?
300
5K finish times have a standard deviation of 4 minutes. A runner who finishes the race in 22 minutes has a z-score of -1.5. The mean time is ...
What is 28 minutes?
300
This is another name for the Empirical Rule.
What is the 68-95-99.7 Rule?
300
A city randomly selects 10 of its 30 neighborhoods and surveys every household in those neighborhoods. The sampling method is...
What is cluster sampling?
300
A botanist tests three different fertilizers on tomato plants. The type of fertilizer is this component of the experiment.
What is a factor?
400
Describe the box plot below
S: Symmetric
O: Lower outlier of 60, upper outlier of 100
C: Median of 80
S: IQR = 15 or Range = 40
400
This many standard deviations above or below the mean is (typically) considered an outlier.
What is 2?
400
The weights of pumpkins harvested from a farm are approximately normally distributed with a mean of 12 pounds and a standard deviation of 3 pounds. The proportion of pumpkins weighing between 12 and 15 pounds is…
What is 0.34?
400
A factory inspector randomly selects one of the first 20 products on an assembly line, then inspects every 20th product thereafter. The method is...
What is systematic random sampling?
400
Researchers group plants by species before randomly assigning fertilizer treatments within each group. This experimental design is being used.
What is a randomized block design?
500
Compare the two distributions below
Answers vary.
500
For any distribution, this is the mean and standard deviation of the z-scores.
Mean = 0, SD = 1
500
LED light bulb lifetimes are normally distributed with a mean of 20K hours and a standard deviation of 2K hours. The proportion of light bulbs that last fewer than 16K hours or more than 24K hours is…
What is 0.05?
500
To randomly select 5 of the 80 trees in a forest, a researcher labels the trees 01–80 and uses a random digit table to select 5 distinct numbers between 01 and 80. The sampling method is....
What is simple random sampling (SRS)?
500
A researcher wants to compare two brands of batteries. Each of 20 identical flashlights is tested with both brands, with the order randomly assigned. What experimental design was used?
What is matched pairs?
500
A city wants to survey 60 residents about a proposed park renovation. The city has 3 neighborhoods (200 residents each) and wants equal representation from each neighborhood. Identify 1) the appropriate sampling method and 2) a randomization process to produce the desired sample.
1) Stratified random sampling.
2) Processes vary (e.g. slips of paper, RNG)