Terms and Definitions
This is the distribution of possible values of a statistic from all possible samples of the same size from the same population
What is a Sampling Distribution?
This is the assumption that a sampling distribution of significant size will always form a normal distribution, regardless of the shape of the population that the samples are drawn from.
What is the Central Limit Theorem?
In order for our sample proportion to be treated as a normal distribution, the sample must have these four important characteristics.
Random sample
Independence
Sample size must be less than 10% of the population
Sample size must be greater than 30
What is the symbol for the mean of the population?
mew
This video game character is a plumber and a multi-million-dollar mascot for Nintendo.
Mario Mario
This is a number or measurement that describes a population.
What is a parameter?
How do you find the standard deviation of a sample mean?
sigma(xbar) = sigma/sqrt(n)
How do you find the standard deviation of a sample proportion?
sigma(p-hat) = sqrt(np(1-p))/n
What is the symbol for the standard deviation of the population?
sigma
These fantasy animals (numbering over 800 species by now) are known as Pocket Monsters in Japan and range from tiny colored rats to humongous whales and reality bending antelope.
What are pokemon?
This is a number or measurement that describes a sample
What is a statistic
In St. Pete, the mean length of a hospital stay is 5.5 days with standard deviation of 2.6 days, skewed strongly to the right. For random samples of size 100, can normal distribution be used to find probabilities? Explain.
Yes, by CLT
R - random samples
I - independent
T - 100 < 10% of all hospital stays
L - 100 > 30
Suppose 0.60 (=60%) of all voters (there are over 10,000) in Oswego County intend to vote for candidate Brown in the upcoming election. A poll is taken, 100 voters are selected by SRS. Take p-hat to be the proportion of sampled voters who intend to vote for Brown. What is the probability of the event p-hat is less than 0.50?
What is 2.1%
What is the symbol for the standard deviation of a sample?
s
This movie/book trilogy is centered around a single piece of jewelry and a long, painful journey that a group of 9 friends go through to destroy it.
What is Lord of the Rings
A statistic used to estimate a parameter is said to be this, if the mean of its sampling distribution is equal to the true value of the parameter being estimated.
What is unbiased?
In St. Pete, the mean length of a hospital stay is 5.5 days with standard deviation of 2.6 days, skewed strongly to the right. For random samples of size 100, describe the sampling distribution of xbar (shape, mean, standard deviation).
What is approximately normal by CLT, with mean 5.5 days and standard deviation 0.26 days
Hershey claims that 10% (= 0.10) of all M&Ms are blue. Assume that the M&Ms in a 1 pound bag form an SRS from all M&Ms. The particular bag we examine contains 320 M&Ms. Let p-hat be the proportion of sampled M&Ms that are blue. What is the probability that p-hat is greater than 0.12?
What is 12%
What is the symbol for the proportion of a sample?
p hat
In the movie Finding Nemo, what was the name of Nemo's mom?
Coral
Represents the ratio of a part to a whole, often expressed as a fraction or percentage, indicating the frequency of a specific outcome within a group or sample.
What is a proportion?
Posting fees. Monthly teddy bear expenses for your company are normally distributed with a mean of $560 and a standard deviation of $45. Your company has allowed for $580 teddy bear expenses per month in its budget. Find the probability that your weekly expenses for the last 6 months will exceed budget.
What is probably 13.8%
Assume that 2% of all products that come off a company's assembly line are defective. The company produces thousands each day. An SRS of 500 of these products is drawn. What is the probability that more than 3% are defective?
What is 4.8%
What is the symbol for the mean of the sampling distribution of means?
mew of x bar
In the TV show "The Simpsons", in which foreign country did the Simpsons appear on a game show?
Japan