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, these are the conditions we check to determine the parameters.
Sample size must be less than 10% of the population (independence)
Sample size must pass the large counts condition (shape)
Must be randomly sampled (unbiased estimator)
This video game character is a plumber and a multi-million-dollar mascot for Nintendo.
Mario
This is a number or measurement that describes a population.
What is a parameter?
A population of test scores has a mean \mu = 85
For random samples of size n =25, this is the value of
\mu_{\bar{x}}
What is 85?
The condition that would need to be met for a recent poll that shows 40% of voters support a new law. For random samples of size n=100, to say the value of
\mu_{\hat{p}} = 0.4
What is randomness?
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, describe the sampling distribution of xbar (shape, mean, standard deviation).
What is approximately normal, with mean 5.5 days and standard deviation 0.26 days
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 2.061%
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?
When rolling 10 six-sided dice, the Central Limit Theorem predicts that the distribution of their mean will take this shape with this mean.
What is normally distributed with a mean of 3.5?
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
\hat{p}
be the proportion of sampled M&Ms that are blue. What is the probability that
\hat{p}
is greater than 0.12?
What is 11.65%
This famous hero often performs as Marvel's flagship character and stands as one of their most memorable single heroes in the Marvel universe due to his every-man nature and down-to-earth struggles as a high school student and young man.
Who is Spiderman?
This is a comparison between two values, typically in fraction or decimal form
What is a proportion?
Posting fees: Weekly teddy bear expenses for your company have a mean of $560 and a standard deviation of $45. Your company has allowed for $580 teddy bear expenses per week in its budget. Find the probability that your weekly expenses for the last 6 months will exceed budget.
What is probably 1.473%
Assume that 2% = 0.02 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 5.511%
This is the only metal that is liquid at room temperature; in the old days, you’d find it inside a glass thermometer.
What is a mercury?