AP Statistics Unit 7 Review, Unit 6 statistics, Unit 5 statistics, unit 3
Using the Venn diagram, P(play sports or boys)=
.0751
Network preferences for an apartment building- what is the probability of of randomly selecting an apartment unit that has both internet and cable and is on the second floor?
.077
Network preferences for an apartment building- if we define A to be internet only and B to be 3rd floor connections, what is P(A and B)?
.094
P(play sports and boys)=
.253
Two-way table apartment network preferences. What is the probability of randomly selecting an apartment unit that has both internet and cable?
.359
Network preferences for an apartment building- if we define A to be internet only and B to be second floor connections, what is P(A u B)
.547
A certain standardized test has 10,000 normally distributed scores. For this distribution, μ = 500 and σ = 40. Simple random samples of size n = 100 are selected from this population data. P(x-bar > 510) = _____
0.006
A school newspaper editor asked a random sample of 50 students in a school of 2,000 students if they had ever traveled outside of their state on vacation. Suppose that 35% of all students in this school have vacationed out of state. P(p-hat > 0.5) = _____
0.013
If x is a binomial random variable in an experiment with 5 trials, and in which p(success) = 0.3, p(x>3)=
0.031
A school newspaper editor asked a random sample of 50 students in a school of 2,000 students if they had ever traveled outside of their state on vacation. Suppose that 35% of all students in this school have vacationed out of state. The standard deviation of the sampling distribution of p-hat is ______.
0.0675
Senior class sports participation- P(play sports/boys)
0.528
The value of the standard deviation is
0.707
The value of the variance is
0.707
If x is a binomial random variable in an experiment with 5 trials, and in which p(success) = 0.3, p(x < = 3) =
0.969
The value of the mean is
1
In a binomial distribution, q=
1-p
The mean of this distribution is
1.4
A dice is rolled three times, what is the probability of rolling a 5 every time
1/216
An experiment involves rolling a six-sided die. Let event A = the event of rolling an even number, and event B = the event of rolling a number less than or equal to 3. Then P(A/B)=
1/3
What is the probability of rolling a 3
1/5
A six-sided fair die is rolled five times. Each time the outcome is a four. The probability that the next roll will be a four is
1/6
A coin is tossed three times. What is the probability of getting exactly three heads?
1/8
The mean of a geometric random variable x is =
1/p
Numbers 00-22 households with a system
12
A fair trial has 8 outcomes, but on repeated trials one of the choices succeeds significantly more than the others. What is the probability of the trial?
12.5%
X and y are independent random variables. If s for x is s= 0.212, and s for y is s = 0.322, then s^2 for x + y=
0.149
A researcher sends out 30 surveys. The probability a person returns the survey is 27%. If x is the number of surveys returned to the researcher, p(x>10)=
0.161
A branch of a tree diagram has two events: A = {completed homework} and B = {did not complete homework}. A and B are complements. If P(A) = 0.8, P(B) =
0.2
Katie is a 65% free throw shooter. If she shoots 15 free throws and x is the number of free throws made, p(x<9)=
0.245
Using the list of random numbers, with numbers 00-34 representing households with a system, how many households would need to be visited?
17
The weight of adults in a population follows a bimodal distribution with μ = 160 pounds and σ = 20 pounds. Random samples of size n = 50 are selected from this population. The standard deviation of the sampling distribution is _____.
2.828
A certain experiment has 3 possible outcomes. How many ordered triples make up the set of all possible outcomes from this experiment?
27
A fair coin is tossed 6 times each day and the number of heads is recorded. Over the long run, the average number of heads that occur each day will be
3
Using the list of random numbers, with numbers 01-24 representing households with adults over 65, how many households need to be visited
33
Simulation for successful serves during a volleyball player might have during a game. 60% success rate, 0-5 represent success , 6-9 represent no success. How many successes will there be in the first 12?
5
Which of the following is the binomial combination (5 3) NOT equivalent to?
60
X and y are independent random variables. If the standard deviation for x is s=0.212, and the standard deviation for y is s=0.322, then the standard deviation for x+y =
0.386
X is s=0.212, y is s=0.322: standard deviation for y-x =
0.386
One of the fundamental theorems of inferential statistics is the _____________________.
Central Limit Theorem (CLT)
A random variable that can assume any uncountable, real number value is called a
Continuous random variable
An experiment involves rolling 1 six sided die. Event A = {roll an even number}, and event B = {roll a number less than or equal to 3}. Compare P(A|B) with P(A), and P(B|A) with P(B). Events A and B are:
Dependent
Mutually exclusive events are always
Dependent
Which of the following situations cannot be modeled by a binomial random variable?
Drawing 5 cards out of a deck of 52 and not replacing them and then counting the hearts
If x and y are independent random variables, E(x+y)=
E(x) + E(y)
The average value of a random variable over the long run of trials of some experiment is called the
Expected value
The law of large numbers in probability states, over time, the
Experimental probability will approach the theoretical probability
On one toss of a fair coin I obtain a head. The probability of obtaining a head on the next toss is still p = 0.5. This is because successive coin tosses are
Independent events
If you double each outcome value in a probability model, the standard deviation of the random variable
Is doubled
The "law of averages" applied to events in the short run is
Misconception
A model for the sampling distribution of p-hat is ______________.
N(p, σ(p-hat))
A binomial distribution will be approximately normally distributed if:
Np and nq are at least 10
If events A and B are independent, P(A and B)=
P(A)P(B)
Which of the following formulas describes the probability distribution of the geometric random variable?
P(x) = (1-p)^x-1 P *formula A
A probability distribution table that lists outcomes paired with their associated probabilities is called a
Probability model
A simulation can be performed using which of the following devices to randomly chose an item?
Random number table
A variable that assumes numerical values associated with some random phenomenon is called a
Random variable
If you add a constant value to each outcome value in a probability model, the standard deviation of the random variable
Remains the same
Eight heads were obtained in eight tosses of a fair coin. The probability of obtaining a tail on the next toss is
Same as for the other tosses
If you add a constant value to all values of a data set, that constant value affects
The mean only
Which of the following random variables would be an example of a discrete random variable?
The number of students in a school
If x is a geometric random variable with p=1/3, p(x=5) means:
The probability of the first success will occur in the 5th trial
The class average will now be=
75
P(play sports or boys)=
751
Which of the following conditions is NOT a characteristic of a binomial random variable
Two outcomes are equally likely to occur
If x and y are independent random variables, Var(x+y)=
Var(x) + var(y)
Which of the following is NOT a characteristic of a binomial random variable x?
X is the number of trials until the first success in the experiment
The best way to learn the value of a population parameter is through ________.
a census
Which of the following is considered a point estimate?
a sample mean
If x is a geometric random variable with p=1/3, p(x<5), or achieving a success in four or fewer trials, can be calculated on a TI calculator using
geometcdf(1/3,4)
As the size of the sample increases and the number of samples drawn increases, the sampling distribution of x-bar becomes ________________________.
increasingly more normal
The model for the sampling distribution of p-hat becomes increasingly more normal as ___________.
n increases
If a population is NOT normally distributed, the sampling distribution of x-bar will, in most cases, be normal provided that ________________.
n is at least 30
The weight of adults in a population follows a bimodal distribution with μ = 160 pounds and σ = 20 pounds. Random samples of size n = 50 are selected from this population. The shape of the sampling distribution of x-bar will be ______.
normal
Which of the given statements referencing the Central Limit Theorem is NOT true? Assuming the assumptions are met, the sampling distribution of x-bar will approach a normal model ___________________________________.
only if the population is normally distributed
The mean of the sampling distribution of p-hat = _____.
p
A research firm wishes to learn about the average SAT math scores of students who took this exam in a certain geographical region this past year. They obtain informed consent and collect both a random and representative sample of 1,000 students' SAT scores from this region. There were 263,442 students who took this exam living in this region last year. The average SAT score of the 263,442 students is a ____________________.
population parameter
The sampling distribution of p-hat typically involves the distribution of categorical data. The sampling distribution of x-bar typically involves the distribution of _________________.
quantitative data
In order to make an accurate inference about a population from sample data, the sample should be _____________________.
randomly selected and representative of the population
A research firm wishes to learn about the average SAT math scores of students who took this exam in a certain geographical region this past year. They obtain informed consent and collect both a random and representative sample of 1,000 students' SAT scores from this region. There were 263,442 students who took this exam living in this region last year. The average SAT math score of the 1,000 selected students is a ________________.
sample statistic
In a well-controlled experiment, the different sample means in a sampling distribution occur because of ____________________.
sampling variability
A research firm wishes to learn about the average SAT math scores of students who took this exam in a certain geographical region this past year. They obtain informed consent and collect both a random and representative sample of 1,000 students' SAT scores from this region. There were 263,442 students who took this exam living in this region last year. The estimation statement, "We are 90% confident that the average SAT math score of all students living in this geographical region is between 460 and 520," is an example of a(n) _____________________.
statistical inference
The variance of any discrete random variable is found by
summing the squared distance each outcome is from the mean times it's associated probability.
Researchers often do not take a census of their target population because _____________________________________.
taking a census can be time-consuming and costly
A large number of random samples from a population will produce sample means that ___________________________.
tend to cluster around the population mean
If a population is normally distributed with mean μ and standard deviation σ, the sampling distribution of x-bar will be normal provided that ________________________.
the 10% condition is met
Which of the following is NOT a condition that must be met to use the model N(p, σ(p-hat)) for the sampling distribution of p-hat?
the binomial condition
A larger sample size may need to be drawn to achieve a normal sampling distribution if ____________________________________.
the population data is highly skewed
Which of the Following is considered a sample statistic?
x-bar
With independent outcomes, the outcome 0, 1, 1 has which sample mean and probability?
x-bar = 0.667; p = 0.016
A certain standardized test has 10,000 normally distributed scores. For this distribution, μ = 500 and σ = 40. Simple random samples of size n = 100 are selected from this population data. The mean and standard deviation of the sampling distribution of x-bar is ______________.
μ = 500; σ = 4
Using a normal model for the sampling distribution of x-bar requires that we know ______.
σ
A table is useful for calculating the variance of
A discrete random variable
Their concern is
Standard deviation will stay same
The sampling distribution of p-hat describes the distribution of ________________________________.
all possible sample proportions of a fixed size n from a population
A sampling distribution describes the distribution of _______________________.
all possible samples of the same size from the same population
The standard deviation of a sampling distribution of means is __________________________________.
always less than the standard deviation of the population
A certain standardized test has 10,000 normally distributed scores. For this distribution, μ = 500 and σ = 40. Simple random samples of size n = 100 are selected from this population data. P(x-bar < 400) = _______________.
approximately 0
The "large enough" condition of the CLT means that the sample size n is _______________.
at least thirty
A school newspaper editor asked a random sample of 50 students in a school of 2,000 students if they had ever traveled outside of their state on vacation. Suppose that 35% of all students in this school have vacationed out of state. Which of the following statements is true?
both the 10% condition and the normal condition is satisfied
