STATISTICS A.P.
GRADES 11, 12
1 CREDIT
2 SEMESTERS
1.2 GRADE WT.
Prerequisites: Algebra 1 and Algebra 2; Satisfactory COMPASS placement test score for dual credit in Math 128 at JJC
Students will focus on mathematical reasoning and solving real-life problems. Included are: frequency distributions, measures of position and variation, basic probability theory, probability distributions and the normal curve, statistical inference, correlation and regression, f-test, and analysis of variance. Students who sucessfully complete the course are eligible to sit for the A.P. examination. Both a graphing calculator and Microsoft Excel will be used.
REMARKS: Texas Instrument Graphing Calculator (TI-84 plus or TI-NSpire) is strongly recommended. Students enrolled in this course have a dual credit option to receive college credit from Joliet Junior College.
Curriculum Goals
A first course in statistics focusing on mathematical reasoning and the solving of real life problems. Included are: frequency distributions, measures of position and variation, basic probability theory, probability distributions and the normal curve, statistical inference, correlation and regression, f-test and analysis of variance. Both a graphing calculator and a statistical software package will be used.
Goal 1: Students will understand the process of data collection including distinguishing between types of data, methods of sampling, and experimental design.
Goal 2: Students will organize qualitative and quantitative data using various representations with and without the use of technology.
Goal 3: Students will compute and interpret measures of central tendency, dispersion, and position.
Goal 4: Students will construct linear regression models, make predictions based on the models and determine the appropriate model to best fit a given data set.
Goal 5: Students will understand and apply the rules of probability.
Goal 6: Students will compute probabilities, measures of central tendency and measures of spread for discrete probability distributions with graphical representation.
Goal 7: Students will use the normal probability distribution on continuous variables in order to compute probabilities, assess normality, and to approximate the binomial distribution.
Goal 8: Students will compute and describe the mean, standard deviation, and probabilities of the sampling distributions of a mean and a proportion.
Goal 9: Students will compute and interpret confidence intervals stating that appropriate conditions have been met.
Goal 10: Students will use hypothesis testing to test claims on a single population. Computation and interpretation of error and the power of the test will also be required.
Goal 11: Students will use hypothesis testing to test claims about two population parameters as well as construct and interpret confidence intervals regarding two population parameters.
Goal 12: Students will use hypothesis testing to determine goodness of fit, homogeneity, and independence.
Goal 13: Students will use hypothesis testing and confidence intervals to determine the significance of the least squares regression model.