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Final

# MAS 311 Final.pdf

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University of Miami

Management Science

MAS 311

Donno

Spring

Description

Normal Approximation of Binomial Probabilities Sampling Distribution of Difference b/w 2 Averages
When the number of trials, n, becomes large, If independent samples of size ___ and ___ are drawn at
evaluating the binomial probability function by random from two populations, discrete or continuous,
hand or with a calculator is difficult.
The normal probability distribution provides an easy-to-ith means ___and ___, and variances _______ and
use approximation of binomial probabilities where _______, respectively, then the sampling distribution of
the difference of means, _____- ______, is approximately
np > 5 and n(1 - p) > 5. normally distributed with mean and variance given by
In the definition of the normal curve, set
Exponential Probability Distribution
A property of the exponential distribution is that the
mean and standard deviation are equal.
Density Function
Degrees of Freedom
V=N-1
Interval Estimate of a Population Mean: __ Known
Cumulative Probabilities
Interval Estimate of μ
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Central Limit Theorem
In selecting random samples of size n from a
population, the sampling distribution of the sample
mean ___ can be approximated by a normal
distribution as the sample size becomes large. Interval Estimate of a Population Mean: __
Unknown
Sampling Distribution of _____ Interval Estimate
Standard Deviation of ______
We will use the following notation to define the
standard deviation of sampling distribution of ____.
Concept of a Large-Sample Confidence Interval
Often statisticians recommend that even when normality
cannot be assumed, σ unknown, an!≥30,%can
replace σ and the confidence interval
Standard Deviation of ______
Sample Size for an Interval Estimate of a

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