STANDARD COMPETENCIES:

 

 I.      Discuss (a) types of technology used in statistics and (b) the use of statistical software and the internet.

 II.     Present various methods of obtaining and depicting data using technology.

 III.    Calculate measures of central tendency and variation using technology.

 IV.     Define and demonstrate methods for investigating probability distributions and their properties using technology.

 V.      Discuss the binomial and normal distributions using technology.

 VI.     Demonstrate an understanding of the Central Limit Theorem using samples generated through technology.

 VII.    Present methods for calculating confidence intervals using technology.

 VIII.   Present methods for testing hypotheses using technology.

 IX.     Explore correlation and regression among multiple variables using technology.

 X       Present methods for conducting chi-square tests using technology.

 XI.     Discuss the relevance of statistics to scientific and other real-world problems.

 TOPICAL OUTLINE:

 

 I.      To introduce (a) types of technology used in statistics and (b) the use of statistical software and the internet.

         A.      Understand that statistics can be calculated through different types of technology including computer software and calculators.

         B.      Navigate through the windows and menus of a statistical software package.

         C.      Obtain data sets through the internet.

         D.      Enter and manipulate data within a statistical software package.

 II.     To present various methods of obtaining and depicting data using technology.

         A.      Generate a random sample using technology

         B.      Graph date (both entered and obtained from the web) using technology

         C.      Create histograms using technology from appropriate data.

         D.      Generate stem and leaf displays using technology.

 III.    To show students how to calculate measures of central tendencies and variation using technology.

         A.      Calculate means, modes, and standard deviations for appropriate data using technology.

         B.      Generate box and whisker plots for appropriate date using technology.

 IV.     To present methods for investigating probability distributions and their properties using technology.

         A.      Generate random variables and basic probability distributions using technology.

         B.      Calculate means and variance for probability distributions.

 V.      To explore the binomial distribution using technology

         A.      Graph various binomial distributions using technology.

         B.      Calculate binomial probabilities using distributions generated with technology.

 VI.     To explore the normal distribution using technology

         A.      Graph various normal distributions (including the standard normal distribution) using technology.

         B.      Calculate probabilities using normal distributions generated with technology.

 VII.    To help students understand the Central Limit Theorem using samples generated through technology.

         A.      Examine distributional properties specified by the Central Limit Theorem using technology-generated samples.

 VIII.   To present methods for calculating confidence intervals using technology.

         A.      Calculate confidence intervals for means using technology.

         B.      Calculate confidence intervals for proportions using technology.

 IX.     To present methods for testing hypotheses using technology.

         A.      Test hypotheses involving means using technology.

         B.      Test hypotheses involving proportions using technology.

 X       To explore correlation and regression among multiple variables using technology.

         A.      Graph and find equations for regression lines for two (or more) variables using technology

         B.      Calculate correlation coefficients for two (or more) variables using technology.

 XI.     To present methods for conducting chi-square tests using technology

         A.      Conduct a chi-square test for appropriate data using technology.

 XII.    To help students explore the relevance of statistics to scientific and other real-world problems.

         A.      Critically examine journal articles containing statistical results.