# Textbook Notes for Mathematics at Pace University

PACEMAT 117Vinh LyFall

## MAT 117 Chapter Notes - Chapter 9: Simple Random Sample, Null Hypothesis, Randomized Experiment

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Hypothesis test for a population mean when is unknown: x is approximately normally distributed w/ mean x = & sd x = . However, it is unreasonable to ex
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PACEMAT 117Vinh LyFall

## MAT 117 Chapter 11: STATS Ch. 11

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If a sample of size n is taken from a normal population w/ a finite variance, then the statistic. Characteristic of 2 df distribution is characterized
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PACEMAT 117Vinh LyFall

## MAT 117 Chapter Notes - Chapter 4: Sample Space, Almost Surely, John F. Kennedy International Airport

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Probability: a numerical value that measures the likelihood that an event (e) occurs. Event: a subset of outcomes of the experiment. Experiment: a proc
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PACEMAT 117Vinh LyFall

## MAT 117 Chapter Notes - Chapter 3: Uniform 1 K2 Polytope, Sharpe Ratio, Standard Deviation

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Mean-variance analysis: postulates that the performance of an asset is measured by its rate of return, & this rate of return is evaluated in terms of i
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PACEMAT 117Vinh LyFall

## MAT 117 Chapter 8: STATS Ch. 8

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Chapter 8: estimating the value of a parameter. X x = x = / n (cid:951) (cid:950) Confidence interval: provides a range of values that, w/ a certain le
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PACEMAT 117Vinh LyFall

## MAT 117 Chapter Notes - Chapter 4: Sample Space, Fair Coin, Mutual Exclusivity

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Complement rule: states that if e represents any event & e*c represents the complement of e, then p(e^c) = 1 -p(e) Additional rule: states that the pro
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PACEMAT 117Vinh LyFall

## MAT 117 Chapter Notes - Chapter 9: Type I And Type Ii Errors, Null Hypothesis, Statistical Parameter

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The language of hypothesis testing: a hypothesis is a statement regarding a. November 7th, 2016 characteristic of one or more populations. Statistical
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PACEMAT 117Vinh LyFall

## MAT 117 Chapter 5: STATS Ch. 5

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Probability mass function of a discreet random variable: x provides the possible values of the random variable & their corresponding probabilities, den
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PACEMAT 117Vinh LyFall

## MAT 117 Chapter 10: STATS Ch. 10

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Confidence interval for 1 - 2: we need to round the value of df down to obtain the appropriate t-value from the table. Ha: 1 - 2 d0: we derived test st
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PACEMAT 117Vinh LyFall

## MAT 117 Chapter Notes - Chapter 7: Central Limit Theorem, Simple Random Sample, Standard Deviation

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The sampling distribution of the sample mean: Parameter: a constant, although its value may be unknown; a statistic is a random variable whose value de
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PACEMAT 117Vinh LyFall

## MAT 117 Chapter 6: STATS Ch. 6

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PACEMAT 117Vinh LyFall

## MAT 117 Chapter Notes - Chapter 12: Null Hypothesis, Contingency Table, Test Statistic

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Goodness-of-fit test for a multinomial experiment: a multinomial. Nov. 14th, 2016 experiment consists of a series of n independent and identical trials
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