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Stats Ch.7.2
Stats Ch. 7.2 vocab
15
Mathematics
Undergraduate 1
10/24/2010

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Term
Central Limit Theorem CLT:

For a random and representative sample (SRS) with a large sample size n, the sampling distribution of the sample mean is approximately _________ with ______ u.....
Definition
normal;
mean
Term
....and standard error _______ (formula) (the original standard deviation divided by the square root of n.)
Definition
theta/ sqr root of n
Term
How large does the sample size,n, have to be?
Definition
It depends on the shape of the original population.
Term
If the population is _______, the sampling distribution for x(with bar over it) will be normal for any n.
Definition
normal
Term
If the population is far from normal, _____, is large enough in most cases fro the sampling distribution of x(bar) to be considered normal.
Definition
n=30
Term
In general, the closer to normal (bell shaped, symmetric, and continuous) the original distribution of x(bar), the smaller ____ needs to be.
Definition
n
Term
And for any shape distribution, as n increases, the sampling distribution of x(bar) will get closer to ______.
Definition
normal
Term
Sample Proportion
Definition
Term
____ is the number of successes and p(hat)=____/_____ is the proportion of successes.
Definition
X;
x;
n
Term
p(hat) is approximately normal, with mean=___ and stderror = ______
Definition
p;
[sqr root] p(1-p)/n
Term
Assumptions: np>(or equal to) ___ AND n(1-p)>(or equal to)___.
Definition
15;
15
Term
Sample Mean
Definition
Term
___ is an individual's measurement, ___ is the sample mean.
Definition
x;
x(bar)
Term
x(bar) is approximately normal, with mean = __ and stderror = ______
Definition
u;
sigma/[sqr root] n
Term
Assumptions: original population was _______ OR n>(or equal to) ___.
Definition
normal;
30
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