Identifying PPSS
Definitions and Symbols
Interpreting Dot Plots
Center and Variability
Facts About Mr. Song
200
In order, the symbols used for POPULATION mean, proportion, and standard deviation
What are
mu, p, sigma
200
This plot represents the mean marathon time, in minutes, for 1000 samples with size n=10 Olympic marathon runners.
This is the number of samples with a mean time under 130 minutes
What is 2 Samples?
200
Mr. Song went to college at this local institution, known for its mascot, Testudo the Terrapin
What is the UNIVERSITY OF MARYLAND?
400
On Tuesday, the bottles of iced tea in a plant were supposed to contain an average of 20 ounces of iced tea. Quality-control inspectors sampled 50 bottles at random from the day's production. These bottles contained an average of 19.6 ounces of iced tea.
The SAMPLE in this scenario
What are the 50 bottles sampled by Quality-control inspectors?
400
In order, the symbols used for SAMPLE mean, proportion, and standard deviation
What are
bar x, hat p, s
400
This plot represents the mean marathon time, in minutes, for 1000 samples with size n=10 Olympic marathon runners.
This dotplot is an example of a _______ distribution. HINT: It's a vocab term!
What is a SAMPLING distribution?
400
Mr. Song is a fan of many puzzles, including this 3-dimensional one that is typically colored White, Yellow, Red, Orange, Blue, and Green
What is a RUBIK'S CUBE?
600
On Tuesday, the bottles of iced tea in a plant were supposed to contain an average of 20 ounces of iced tea. Quality-control inspectors sampled 50 bottles at random from the day's production. These bottles contained an average of 19.6 ounces of iced tea.
The POPULATION in this scenario
What are all bottles of iced tea filled in the plant on Tuesday?
600
The distribution of values taken by the statistic in all samples of the same size taken from the same population
What is the SAMPLING DISTRIBUTION?
600
This plot represents the mean marathon time, in minutes, for 1000 samples with size n=10 Olympic marathon runners.
Would it be unusual to see a sample of 10 Olympic Runners with a mean time of 134 minutes?
NO, there are many, many samples with means of 134 or greater.
600
As the sample size increases, this happens to the variability of the sampling distribution of the sample mean.
What is it decreases?
600
Despite his name, Mr. Song is pretty terrible at most instruments, but he can play a little on this small metal instrument famously played by Bob Dylan and Stevie Wonder
What is the HARMONICA?
800
On Tuesday, the bottles of iced tea in a plant were supposed to contain an average of 20 ounces of iced tea. Quality-control inspectors sampled 50 bottles at random from the day's production. These bottles contained an average of 19.6 ounces of iced tea.
The STATISTIC in this scenario
What is the mean amount of tea in the sample,
bar x = 19.6
oz.
800
A statistic used to estimate a parameter, with the mean of its sampling distribution equal to the value of the parameter being estimated
What is an UNBIASED ESTIMATOR?
800
This plot represents the mean marathon time, in minutes, for 1000 samples with size n=50 Olympic marathon runners.
How many samples would we look for in order to check for statistical significance?
What is 50 samples (5% of 1000)?
800
There are 4 gorillas at the zoo, weighing 290 lbs, 310 lbs, 370 lbs, and 375 lbs.
This is the mean weight of the gorillas
What is 336.25 lbs
800
Mr. Song likes to read books in his free time. He's currently reading this book by Jane Austen about the Dashwood sisters, with a very sensible title
What is Sense and Sensibility?
1000
On Tuesday, the bottles of iced tea in a plant were supposed to contain an average of 20 ounces of iced tea. Quality-control inspectors sampled 50 bottles at random from the day's production. These bottles contained an average of 19.6 ounces of iced tea.
The PARAMETER in this scenario
What is
mu = 20
oz, the mean amount of tea in the population
1000
The definitions for BOTH a statistic and a parameter, in order
What is a number that describes some characteristics of a sample, AND a number that describes some characteristics of the population?
1000
This plot represents the mean marathon time, in minutes, for 1000 samples with size n=50 Olympic marathon runners.
If we sampled 50 Boston Marathoners and they had a mean time of 132 minutes, would that be convincing evidence that the Boston runners ran faster than the Olympic runners? EXPLAIN!
Yes, because only 3/1000 = 0.3% of the samples from the Olympic runner's distribution had a mean time under 132 minutes, which is statistically significant.
1000
There are 4 gorillas at the zoo, weighing 290 lbs, 310 lbs, 370 lbs, and 375 lbs.
These are all possible samples of 2 gorillas
What are 290-310, 290-370, 290-375, 310-370, 310-375, and 370-375?
1000
Mr. Song visited Japan over the summer, where he spent most of the time in this capital of Hokkaido prefecture, known for its beer and its miso-ramen
What is SAPPORO?