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# Intro to Statistics MA1 MAT 135

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This 2 page Class Notes was uploaded by Stephanie Batz on Monday October 12, 2015. The Class Notes belongs to MAT 135 at Front Range Community College taught by Staff in Fall. Since its upload, it has received 13 views. For similar materials see /class/221869/mat-135-front-range-community-college in Math at Front Range Community College.

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Date Created: 10/12/15

III MAT 135 INTRODUCTION TO STATISTICS Learning Outcomes Explain the general concepts of what statistics is and identify terminology Explain and give examples of the two branches of statistics descriptive and inferential Explain qualitative and quantitative data Explain the levels of measurement nominal ordinal interval and ratio De ne and give examples of a population and a sample De ne and give examples of a parameter and a statistic Demonstrate and differentiate the use of Greek letters and English letters which are used for parameters and statistics W999 Present the various methods of depicting data and the statistical measures utilized in descriptive statistics Organize data into a grouped frequency table Present data in the form of histograms stem and leaf diagrams and box and whisker plots Interpret histograms line graphs bar graphs pie charts and stem and leaf diagrams Use formulas to calculate the following measures of central tendency Mean median mode and midrange Demonstrate understanding of the mean median and mode Use formulas to calculate the following measures of dispersion range variance and standard deviation Demonstrate and understanding of range variance and standard deviation Use appropriate procedures to nd the following measures of position in a set of data zscore percentile quartile and decile i Find percentiles and use this to interpret percentile ranks j Recognize and identify various shapes of data distributions 999 139 P Q Present the basic principles of probability and the relationship between probability and statistics a Use the basic de nitions to calculate simple probabilities b Use the addition rule to calculate probabilities c Use the multiplication rule to calculate probabilities d Demonstrate an understanding of how events are complementary and calculate the probability that an event does not occur e Use counting principles to determine the number of ways various events can occur Develop the concepts of probability distributions a Explain discrete and continuous random variables b Discuss the concept of probability distributions c Use formulas to calculate the mean variance standard deviation and expected value of a probability distribution d Calculate probabilities in binomial experiments e Calculate the means standard deviation and variance of a binomial experiment f Recognize and identify various shapes of probability distributions g Demonstrate knowledge of the relationship between probability and the area under a probability curve Describe the normal distribution and associated statistics and probabilities a Calculate probabilities using the standard normal distribution b Calculate zscores that correspond with observations in nonstandard normal distributions c Calculate the scores that correspond to given probabilities 3 1 139 VI Use the normal distribution to approximate probabilities associated with a binomial experiment and know the conditions for which these approximations are appropriate De ne sampling distribution Identify and use the Central Limit Theorem Develop the concepts of point estimates and interval estimates and present methods for determining sample size a Fquot O VII a c d e VIII Estimate the value of a population mean and determine con dence intervals for a population mean Estimate the value of a population proportion and determine con dence intervals for a population proportion Calculate the sample size necessary for each of the above estimates given the desired con dence Present the process of hypothesis testing regarding one population parameter Explain when it is appropriate to use a ztest versus a ttest Perform hypothesis tests concerning one mean Explain Type I and Type 11 error Perform a hypothesis test concerning one proportion Perform a Chisquare goodness of t test Explain the concepts of regression and correlation and compute the necessary values to analyze the data and make predictions a b c d e Construct and analyze scatter diagrams Calculate the linear correlation coef cient and use this to decide whether a linear relationship exists between two variables Find the equation of a regression line between two variables Sketch the graph of the regression line Analyze the variation between predicted and observed values General Education The student should a b c Demonstrate the ability to select and apply contemporary forms of technology to solve problems or compile information in the study of math Read analyze and apply to new situations written material related to the study of math Write and speak clearly and logically in presentations and essays about topics related to math All written reports are expected to demonstrate the following competencies Identify the problem to be discussed and state a position or hypothesis Select research material appropriate to the topic Critically compare and defend a personal point of view as well as alternate views Research interpret and convey the topic using suitable resources and technologies including the internet as a resource tool Use correct vocabulary formats and documentation of sources

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