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Ashley's Statistics Exam 2
N/A
38
Mathematics
Undergraduate 1
10/15/2012

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Term

Probability

Definition
The likelyhood that an event will occur.
Term
Simple Event
Definition
Each of the final outcomes for an experiment.
Term
Compund Event
Definition
A collection of more than one outcome for an experiment.
Term
Equally Likely Outcomes
Definition
Two or more outcomes that have the same probability of occurance.
Term
Conditional Probability
Definition
Probability that the event will occur given that  another event has already occured.
Term
Mutually Exclusive
Definition
Events that cannot occur together.
Term
Indepent Events
Definition
The occurance of one event doesn't effect the probability of the other.
Term
Dependent Events
Definition
The occurance of one event affects the probability of another occuring. 
Term
Complementary Events
Definition
Two mutually exclusive events that taken together include all the outcomes for an experiment. Equal to 1.
Term
Union of Events
Definition
A and B includes all outcomes that are in A or in B or in both A and B
Term
Random Variable
Definition
Variable whose value is determined by the outcome of a random experiment.
Term
Discrete Random Variable
Definition
A random variable that assumes countable values.
Term
Mean of the Discrete Random Variable
Definition
The value that is expected to to occur per repetition. Denoted by mule.
Term
Binomial Probability Distribution
Definition
One of the most widely used discrete probabilities distributions. Used to find the the probability that an outcome will occur x times in n performances of an experiment. 
Term
Normal Probability Distrubution 
Definition
A symmetric bell shaped curve. "normal curve" Mean is denoted by M and its standard deviation. 
Term
Standard Normal Distribution
Definition
Normal distribution with m=0 and o=1.
Term
Z Score
Definition
The distance between the mean and the point represented by z 
Term
Population Distribution
Definition
The probability distribution of the population data.
Term
Relative Frequency of classes.
Definition
Obtained by dividing the frequencies of classes by the population size.
Term
Sampling Distribution of x bar
Definition
Lists the various values that x bar can assume and the probability of each value of x bar.
Term
Sampling Error
Definition

The difference between the value of a sample statistic and the value of the corresponding population parameter. 

xbar-m

Term
Nonsampling Error
Definition
The errors the occur in the collection, recording, and tabulation of data.
Term
Mean of the Sampling Distribution of x bar
Definition
m xbar=m
Term
Standard Deviation of the Sampling Distribution of x bar
Definition
o xbar=o/square root of n
Term
Central Limit Theorem
Definition
States that for a large sample size, the sampling distribution of x bar is approximately normal.
Term
o2
Definition
Population Variance
Term
n
Definition
sample size
Term
m (mule)
Definition
Population mean
Term
N
Definition
Population size
Term
o xbar
Definition
Standard deviation of the sampling distribution of xbar
Term
μxbar
Definition
Mean of the sampling distribution of xbar
Term
Sampling Distribution
Definition
The probability distribution of all possible values of a sample statistic for a given sample size.
Term
According to the CLT, if the sample size is________, then the shape of the sampling distribution of xbar is normal, regardless of the shape of the _________distribution.
Definition
Large, population
Term
n≥30
Definition
large enough
Term
Determine the compliment whenthe probability it will rain  is 34%
Definition

.66 

(1-.34)

Term

The next 25 customers to enter a store are observed. Determine if the variable X is a binomial random variable if:

a.X is the number of items purchased by the customer____

b.X is the weight of each customer________

c.X is the number of customers wearing a hat_________

Definition

Not binomial (discrete)

Not binomial (continuous)

Binomial (hat or no hat)

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