Terms
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?
I am sampling M&Ms with replacement in order to estimate the proportion that are green. What condition do I need to check before I can calculate the standard deviation using our formula?
What is nothing (I am sampling with replacement)
The actual instructions are the opposite of this: each team that does not avoid not clapping in the next 10 seconds will receive 100 points. Every other team will receive -100 points.
If you clapped, you got 100 points.
Assume there are two species of rabbits at Webb. The mean height of Species 1 is 32 while the mean height of Species 2 is 22. The variances of the two species are 60 and 70, respectively and the heights of both species are normally distributed. You randomly sample 10 members of Species 1 and 14 members of Species 2. This is the probability that the mean of the 10 members of Species 1 will exceed the mean of the 14 members of Species 2 by 5 or more.
What is 93.4%
This is a number or measurement that describes a population.
What is a parameter?
I quadruple the sample size in my sampling distribution of means. This is what will happen to the standard deviation of the sampling distribution.
What is multiply by 1/2
What is .158
sqrt((.5*.5)/10)
The winter olympics are in two weeks. Out of the following countries, this is the one that has never hosted: Norway, France, Japan, Germany, Austria, South Korea, Russia, Sweden, Switzerland, Italy
What is Sweden
This is the definition of a statistic
What is a number or measurement that describes a sample
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
I take an SRS of 100 people in Claremont and 100 people in Pomona. I find the proportion of people in each city with income over $90,000. I do this many times. Interpret one dot in the sampling distribution of difference in proportions.
What is each dot represents the difference in proportion of Claremont and Pomona residents with income of over $90,000 in one sample of 100 people from each city
This is the number of slips of paper that were in the box during last class's activity
What is 156
This is the variable used for standard deviation of a sample
What is s?
For a D&D game, players use 10 fair six-sided dice . To complete an action in the game, they will need to roll all 10 dice many times. This is the value of the population mean for the number that comes up on each die.
What is 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. Explain why the sampling distribution of proportions is approximately normal.
What is...
1) 10% condition shows this is approx. binomial
2) Large counts allows us to approximate as normal
This is the difference between a croque monsieur and a croque madame
What is a croque madame has a fried egg on top
True or false (and explain): a statistic gotten from a simple random sample will always be unbiased
What is false-- a statistic itself can be biased (e.g. maximum value)
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 average weekly expenses over the last 12 weeks exceeded the budget.
What is 6.2%
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 5.5%
Name four bonus questions from previous quizzes and tests. (they don't have to be exact, you can say something like "the one where we had to guess the size of an egg")
Maxwell-Boltzmann distribution, radius of a semicircle, unfair coin, wear a halloween costume, law of large numbers coin flips, jars with marbles, intransitive dice game, gerrymandering, what does r^2 mean