AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and...

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AP STATS EXAM REVIEW

Transcript of AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and...

Page 1: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

AP STATS EXAM REVIEW

Page 2: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

500500500500500

400400400400400

300300300300300

200200200200200

100100100100100

Chapter 8Chapter 13

and 14Chapter 11

and 12

Chapter 9 and Chapter 10

Chapter 7

Page 3: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

This type of variable has a

countable number of

outcomes

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Page 4: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

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Discrete

Page 5: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

The normal distribution is this type of

probability distribution

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Page 6: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

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continuous

Page 7: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

This is what the law of large numbers

means

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Page 8: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

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As the number of observations

increases, the mean of the observed

values eventually approaches the mean

of the population

Page 9: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

This is how to find

the mean of a discrete distribution

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Chapter 7 400 Points

Page 10: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

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The sum of each x multiplied by its

probability

Chapter 7 400 Points

Page 11: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

σ2 of a + bx equals

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Chapter 7 500 Points

Page 12: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

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b2σ2

Chapter 7 500 Points

Page 13: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

These are the three pieces of information

you must have in order to find a binomial

probability (put them in order like you

would on your calculator

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Chapter 8 100 Points

Page 14: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

Chapter 8 100 Points

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N, p, r

Page 15: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

Chapter 8 200 Points

This distribution allows you to find the

probability of having a certain number

of failures before your first success

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Page 16: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

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geometric

Chapter 8 200 Points

Page 17: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

Chapter 8 300 Points

A basketball player makes 80% of his

free throws. What is the probability

that he will make 5 shots before he

missesCategories

Page 18: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

Chapter 8 300 Points

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.85(.2) = .0655

Page 19: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

Suppose you purchase a bundle of 10 bare-root broccoli

plants. The sales clerk tells you that on average you can

expect 5% of the plants to die. Find the probability that

you will lose at most one of the broccoli plants.

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Chapter 8 400 Points

Page 20: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

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Binomialcdf(10, .05, 1) = .9138

Chapter 8 400 Points

Page 21: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

The four conditions which make a situation

binomial

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Chapter 8 500 Points

Page 22: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

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Two outcomes (success and failure),

fixed number of trials, independent

trials, same probability for each trial

Chapter 8 500 Points

Page 23: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

This rule states that for a large sample size

the sampling distribution of x-bar if

approximately normal

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Chapter 9 100 Points

Page 24: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

Chapter 9 and 10 100 Points

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Central limit theorem

Page 25: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

Chapter 9 and 10 200 Points

This is how you check if the sampling

distribution of p-hat is normal

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Page 26: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

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np greater than or equal to 10

Chapter 9/10 200 Points

Page 27: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

Chapter 9/10 300 Points

This is the definition of a type I error

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Chapter 9/10 300 Points

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Rejecting the null hypothesis when it

is actually true

Page 29: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

Meaning of a type II error

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Chapter 9/10 400 Points

Page 30: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

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We accept the null hypothesis but it is

actually false

Chapter 3/4 400 Points

Page 31: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

This is the probability that a test will

reject the null when it is not true

(correct decision)

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Chapter 9/10500 Points

Page 32: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

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power

Chapter 9/10 500 Points

Page 33: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

This is the number of degrees of

freedom for a one or two sample mean

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Chapter 11/12 100 Points

Page 34: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

Chapter 11/12 100 Points

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n-1

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Chapter 11/12 200 Points

This situation requires this type of hypothesis

test: to test the effect of background music on

productivity, factory workers are observed. For 1

month they had no background music. For

another month they had background music

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Page 36: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

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matched pairs

Chapter 11/12 200 Points

Page 37: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

Chapter 11/12 300 Points

This is the standardized statistic for a

99% CI for a proportion

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Page 38: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

Chapter 11/12 300 Points

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2.576

Page 39: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

This is the standardized test statistic

for a 95% CI of a mean with n= 30

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Chapter 11/12 400 Points

Page 40: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

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2.045

Chapter 11/12 400 Points

Page 41: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

This is the statistic for a two sample

proportion test

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Chapter 11/12 500 Points

Page 42: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

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Phat 1 – phat 2

Chapter 11/12 500 Points

Page 43: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

This is the null hypothesis for a chi-

square goodness of fit

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Chapter 13/14 100 Points

Page 44: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

Chapter 13/14 100 Points

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The population proportions equal the

hypothesized values

Page 45: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

Chapter 13/14 200 Points

This is how to find the expected value

on in a two-way table

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Page 46: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

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(row total x column total)/ table total

Chapter 13/14 200 Points

Page 47: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

Chapter 13/14 300 Points

This is the one condition for a chi-

squared test

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Chapter 13/14 300 Points

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all expected values are greater than or

equal to 5

Page 49: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

This is the number of degrees of

freedom in a slope test

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Chapter 13/14 400 Points

Page 50: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

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N - 2

Chapter 13/14 400 Points

Page 51: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

This is how you find the standard error

of the slope (used in a confidence

interval)

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Chapter 13/14 500 Points

Page 52: AP STATS EXAM REVIEW 500 400 300 200 100 Chapter 8 Chapter 13 and 14 Chapter 11 and 12 Chapter 9 and Chapter 10 Chapter 7.

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T = b/SEb

Chapter 13/14 500 Points

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The Daily Double

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