Binomial / Geometric
Sampling
Sampling Distributions
Probability
Name That Test
200

This type of distribution categorizes the following scenario: A person shuffles thousands of cards together and then draws cards from the massive deck until he gets the seven of clubs.

What is a geometric distribution?

200

The four principles of a good experiment.

What are random assignment, replication, control, and comparison?

200

A statistic where the mean of its sampling distribution is equal to the parameter it is estimating.

What is an unbiased estimator?

200

Two Way Table:

                                   Vegetarian                   Not

Heart Condition                 4                            46

                    No                  96                         654


T/F: The variables eats meat and has a heart condition are independent.

What is false?

200

100 volunteers run a timed 400 m. They are then split into two groups. 50 are given steroids for six months and 50 are not. They then all run another timed 400 m and the time improvement is recorded for each runner. Means are calculated and compared for each group.

What is a two sample t-test for difference of means?

400

This type of distribution categorizes the following scenario: A person shuffles thousands of cards together and then draws one hundred cards and counts how many sevens he draws.

What is a binomial distribution?

400

This method of sampling gives every possible sample of a given size the same chance to be chosen.

What is a simple random sample?

400

Scenario: 20 decks of cards are shuffled together, then 50 cards are drawn out. The number of spades that are drawn is counted and the proportion of spades out of the 50 cards is recorded.

This number is the mean for the sampling distribution of p hat (the estimate for the true proportion of spades that are drawn).

What is .25?

400

P(A) = .2

This is equal to .8.

What is the complement of A?

400

100 volunteers run a timed 400 m. They are then split into two groups. 50 are given steroids for six months and 50 are not. Runners are paired between groups by speed. They then all run another timed 400 m and the time improvement is recorded for each runner. The difference between paired runners is recorded and the mean is calculated.

What is a matched pairs t-test for mean difference?

600

Scenario: A person shuffles thousands of cards together and then draws one hundred cards and counts how many sevens he draws.

This number is the expected value minus the standard deviation of the scenario described above.

5.03

600

This method of sampling divides the population into non-overlapping groups of individuals that are located near each other but otherwise may be different.

What is a cluster sample?

600

Scenario: 20 decks of cards are shuffled together, then 52 cards are drawn out. Then, the mean of the sample is recorded (with ace being 1, jack being 11, queen being 12, and king being 13).

This number is the mean of the sampling distribution of x bar (the estimate for the true mean of drawing 50 cards and adding them up).

What is 7?

600
In a random sample of 200 students, 140 said they like to read and 60 said they like to run long distance. 40 said they like neither. This is the probability of selecting a random student from the sample who likes to do both.

What is .2?

600

To compare schools, a random sample of 25 AP Stats students is taken at Lawrenceville and another 25 at Hill. In July, the proportion who pass will be recorded at each school and compared.

What is a two-sample z-test for difference in proportions?

800

Scenario: A person shuffles thousands of cards together and then draws cards from the massive deck until he gets the seven of clubs.

This number is the expected value divided by the variance of the distribution.

What is .02?

800

This method of sampling divides the population into nonoverlapping groups of individuals that are similar in some way that might affect their responses.

What is a stratified sample?

800

Scenario: 20 decks of cards are shuffled together, then 52 cards are drawn out. Then, the mean of the sample is recorded (with ace being 1, jack being 11, queen being 12, and king being 13).

This number is the standard deviation of the sampling distribution of x bar (the estimate for the true mean of drawing 52 cards).

What is .52?

800
The probability of being dealt a flush in 5 card poker (where you are dealt five cards from the deck)

What is .002?

800

LEGOs are made in many different shapes, sizes, and colors. The company says that, out of every 50 LEGO pieces made, 11 are yellow, 8 are green, 9 are red, 7 are blue, 7 are orange, and 6 are other colors. I buy a big bag of assorted colors and the colors of my LEGO pieces do not seem to match.

What is a Chi Square Goodness of Fit Test?

1000

Scenario: A person shuffles thousands of cards together and then draws one hundred cards and counts how many sevens of clubs he draws.

This number is the probability of drawing 1 seven minus the probability of drawing 3 sevens, assuming this distribution CANNOT be modeled as normal.

What is .12?

1000

This method of sampling selects every kth individual from the population.

What is a systematic random sample?

1000

Scenario 1: 20 decks of cards are shuffled together, then 50 cards are drawn out. The number of spades that are drawn is counted and the proportion of spades out of the 50 cards is recorded.

Scenario 2: 20 decks of cards are shuffled together, then 50 cards are drawn out. The number of red cards that are drawn is counted and the proportion of red cards out of the 50 cards is recorded.

This number is the standard deviation of the sampling distribution for p2 hat - p1 hat.

What is .06?

1000

Event A occurs 75% of the time. Event B occurs 25% of the time. If B occurs, then A occurs 90% of the time. This is the probability of the intersection of A and B.

What is .225?

1000

A random sample of 37 houses is taken, with Zillow prices and number of bedrooms recorded. We want to see if there is an association between these two variables.

What is a t-test for slope?

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