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# ProbStats MATH 1530

ETSU

GPA 3.5

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This 4 page Study Guide was uploaded by Ms. Ismael Spinka on Sunday October 11, 2015. The Study Guide belongs to MATH 1530 at East Tennessee State University taught by Corlis Robe in Fall. Since its upload, it has received 29 views. For similar materials see /class/221401/math-1530-east-tennessee-state-university in Mathematics (M) at East Tennessee State University.

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Date Created: 10/11/15

Math 1530 Study Guide Chapters 26 1 Be able to identify the WHO WHAT WHEN WHERE WHY and HOW of data 2 Be able to identify data categorical and quantitative How should we describe a categorical variable Understand how to examine the association between categorical variables by comparing conditional and marginal percentages How should we describe a quantitative variable Be able to describe the distribution of a quantitative variable with a description of the shape of the distribution center and spread 3 Be able to sketch a stemandleaf display and interpret it 4 Understand how adding a constant and multiplying by a constant affects summary statistics 5 Be able to compute the sample mean median and IQR 6 Be able to use Normal models and the 6895997 Rule Know how to nd the proportion of observations falling below and or above any value in a Normal model using a Normal table Be able to nd a zscore or even the original value y 26 p starting with an area Chapters 79 7 Regression Interpretation of the slope Rsquare correlation The relationship between the slope and Rsquare with the correlation 8 Be able use the regression model for prediction 9 Identify the explanatory and response variables in a regression problem 10 Understand the meaning of a residual 7 negative zero or positive Identify an in uential point in a graph Chapters 1113 1 Be able to identify the type of sampling used SRS strati ed cluster systematic multistage selfselected voluntary What types of bias can occur in a sample survey Be able to identify sampling frame population sample statistic parameter Be able to read a short story and identify whether it is an observational study or an experiment If it is an investigative study identify whether it was retrospective or prospective If it was an experiment identify the factors the number of levels the number of treatments response variable the design completely randomized blocked whether it was blind or doubleblind D ID ID I bUJN Chapters 14 l 7 15 Be able to compute a probability from a probability table Know the meaning of exactly at least at most O Have a basic understanding ofthe Law of Large Numbers 7 see pp 271272 Know some of our probability rules PAc l 7 PA PA or B PA PB 7 PA and B Know how to compute the expected value of a random variable from a probability table Be able to recognize when the Binomial model is appropriate and how to compute a Binomial probability Also be able to compute the mean mu np of a Binomial distribution Chapters 1821 NNNN LANHO N UI N O Know how to construct and interpret a con dence interval for a proportion Be able to apply the Central Limit Theorem CLT Be able to identify the null and alternative hypotheses in a short story Be able to compute and interpret the pvalue from a test of hypotheses about proportions Understand the meaning of a pvalue Know the assumptions for inference about a proportion Be able to determine the sample size needed to produce a con dence interval for a proportion with a given margin of error at a given con dence level Understand the meaning of statistical signi cance type I and type II errors in the context of a problem Chapters 23 and 26 27 Be able to interpret Minitab output for the onesample t 28 Be able to interpret Chisquare results Math 1530 Study Guide Chapters 26 1 Be able to identify the WHO WHAT WHEN WHERE WHY and HOW of data 2 Be able to identify data categorical and quantitative How should we describe a categorical variable Understand how to examine the association between categorical variables by comparing conditional and marginal percentages How should we describe a quantitative variable Be able to describe the distribution of a quantitative variable with a description of the shape of the distribution center and spread 3 Be able to sketch a stemandleaf display and interpret it 4 Understand how adding a constant and multiplying by a constant affects summary statistics 5 Be able to compute the sample mean median and IQR 6 Be able to use Normal models and the 6895997 Rule Know how to nd the proportion of observations falling below and or above any value in a Normal model using a Normal table Be able to nd a zscore or even the original value y 26 p starting with an area Chapters 79 7 Regression Interpretation of the slope Rsquare correlation The relationship between the slope and Rsquare with the correlation 8 Be able use the regression model for prediction 9 Identify the explanatory and response variables in a regression problem 10 Understand the meaning of a residual 7 negative zero or positive Identify an in uential point in a graph Chapters 1113 1 Be able to identify the type of sampling used SRS strati ed cluster systematic multistage selfselected voluntary What types of bias can occur in a sample survey Be able to identify sampling frame population sample statistic parameter Be able to read a short story and identify whether it is an observational study or an experiment If it is an investigative study identify whether it was retrospective or prospective If it was an experiment identify the factors the number of levels the number of treatments response variable the design completely randomized blocked whether it was blind or doubleblind D ID ID I bUJN Chapters 14 l 7 15 Be able to compute a probability from a probability table Know the meaning of exactly at least at most O Have a basic understanding ofthe Law of Large Numbers 7 see pp 271272 Know some of our probability rules PAc l 7 PA PA or B PA PB 7 PA and B Know how to compute the expected value of a random variable from a probability table Be able to recognize when the Binomial model is appropriate and how to compute a Binomial probability Also be able to compute the mean mu np of a Binomial distribution Chapters 1821 NNNN LANHO N UI N O Know how to construct and interpret a con dence interval for a proportion Be able to apply the Central Limit Theorem CLT Be able to identify the null and alternative hypotheses in a short story Be able to compute and interpret the pvalue from a test of hypotheses about proportions Understand the meaning of a pvalue Know the assumptions for inference about a proportion Be able to determine the sample size needed to produce a con dence interval for a proportion with a given margin of error at a given con dence level Understand the meaning of statistical signi cance type I and type II errors in the context of a problem Chapters 23 and 26 27 Be able to interpret Minitab output for the onesample t 28 Be able to interpret Chisquare results

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