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# ELEMENTARY STATISTICS MATH 1070

GSU

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This 2 page Class Notes was uploaded by Cara O'Hara on Monday September 21, 2015. The Class Notes belongs to MATH 1070 at Georgia State University taught by Staff in Fall. Since its upload, it has received 9 views. For similar materials see /class/209877/math-1070-georgia-state-university in Mathematics (M) at Georgia State University.

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Date Created: 09/21/15

MATH 1070 7 Content Standards Title Elementary Statistics Course Description Prerequisite High School Algebra II Descriptive statistics basic probability and distribution of random variables estimation and hypothesis tests for means and proportions regression and correlation analysis of count data Goals The goals of Elementary Statistics are for students to develop skills that will allow them to gather organize display and summarize data They should be able to draw conclusions or make predictions from the data and assess the relative chances for certain events happening The following standards are offered as guidelines for assessing student progress judging the effectiveness of instructional programs and developing curricular units The subject matter outlined in these standards represents the minimum knowledge in which a student should demonstrate profrciency at the successful completion of the course CS 1 Quantitative Reasoning Students will use quantitative reasoning in problem solving including Geometric and symbolic representation and manipulation and pattern recognition CS 2 Graphical and numerical summaries normal distribution Students will be able to construct and interpret graphical displays of univariate data such as the stem plot histogram box plot and time plot calculate and interpret summary statistics such as the mean median standard deviation and five number summary describe and use density curves such as the uniform and normal density curves use the normal density curve to calculate proportions CS 3 Graphical and numerical summaries for bivariate data Students will be able to construct and interpret graphical displays of bivariate data scatter plots regression lines residual plots outliers and in uential points discuss the meaning of the correlation coefficient and the leastsquares regression line CS 4 Samples and experimental designs Students will be able to select a simple random sample using a table of random digits recognize biased sampling such as voluntary and convenience sampling describe some experimental designs such as completely randomized and block designs CS 5 Sample distributions probability and random variables Students will demonstrate knowledge and be able to examine and understand and use basic probability concepts including the following sample spaces of possible outcomes of random experiments random variables and their probability distributions the sampling distribution of the mean and the central limit theorem CS 6 Z tests and con dence intervals for means Students will demonstrate the ability to understand and use the vocabulary of statistical inference including confidence intervals con dence levels and margins of error in general confidence level in general as the probability to give a correct estimate of the con dence intervals for the mean of a normal population of known variance or the difference between means of two normal populations of know variances null and alternative hypotheses rejection region in terms of the populations standard deviations and sample sizes level of significance and pvalues for one and two sided tests for means when the variances of the underlying normal populations is are known or the sample is large CS 7 Z tests and con dence intervals for proportions Students will demonstrate the ability to make design and make correct inferential statements about sampling distribution of a sample proportion con dence intervals for a difference between two population proportions and sample size for a required margin of error CS 8 T tests and con dence intervals for means of normal populations Students will demonstrate the ability to understand and apply inferential statements including confidence level as the probability to give a correct estimate of the mean difference of means of a two normal populations when the standard deviations is are unknown level of significance and pvalues for one and two sided tests for means when the variances of the underlying normal populations is are unknown CS 9 Chi square tests for two way tables Students will be able to arrange general bivariate categorical data in several groups into a twoway table of counts in all the groups Students explain what null hypothesis the chisquare statistic tests in a specific twoway table use percents comparison of expected and observed counts and the components of the chisquare statistic to see what deviations from the null hypothesis are important make a quick assessment of the signi cance of the statistic by comparing the observed value to the degrees of freedom CS 10 Applications When applying analytic algebraic geometric and algorithmic techniques to solving applied statistical problems students will 0 Use appropriate technology 0 Communicate how the problem is modeled by a mathematical statistical formulation and how to interpret the results of the statistical analysis

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