AP+Statistics+-+By+Unit

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All skills/commands below are based upon the TI-83 Graphing Calculator and may be different for alternate models. =Unit I: Displaying and Describing Data= 1. Given a set of data, create a histogram and a box-and-whisker plot 2. Use 1-Variable Stats to calculate summary statistics (used to describe a distribution of data numerically) Videos Coming Soon [|TEST VIDEO] 3. Use a graphing calculator (normcdf) to determine the area under the normal curve between two boundaries (two z-scores)
 * Mean and Standard Deviation
 * Median, Quartiles, IQR
 * normcdf(LEFT, RIGHT)

=Unit II: Relationships between Two Variables= 1. Construct a scatterplot (trace to view individual values) 2. LinReg (a + bx) L1, L2 (covered in Algebra II) 3. Using Lists
 * Zoom-Stat (Zoom - 9)
 * Run linear regression on L1,L2 and create a residuals plot
 * slope and y-intercept of Least Squares Regression Line
 * Correlation Coefficient: r (DiagnosticOn must be run before this is generated)
 * R-squared (DiagnosticOn must be run before this is generated)
 * STO ->Y1 to then create scatterplot - displays least squares regression line
 * LinReg(a + bx): L1,L2, re-express one of the lists and calculate linear regression again
 * Manipulating lists, creating a formula for a list

=Unit III: Experimental Design= 1. Simulations: using a random integer, or random normal
 * Take the sum of randInt(0,1,50) to count the "# of heads"

=Unit IV: Probability= 1. Probability Distributions - Binomial and Geometric 2. Expected Value and Standard Deviation =Unit V: Testing Hypotheses for Proportions= 1. Using the Graphing Calculator to conduct a 1 and 2 proportion z-test 2. Using the graphing calculator to conduct a 1 and 2 proportion z-interval 3. Must incorporate all other previous skills dealing with the Normal Model (normcdf)
 * Geometric: Density and Cumulative (geomcdf(p,x),geompdf(p,x))
 * Binomial: Density and Cumulative (binomcdf(n,p,x), binompdf(n,p, x))
 * Understand the difference between CDF/PDF, Binomial/Geometric
 * Create a list for a Probability Model: Values in L1, Probabilities in L2
 * Use 1 Var Stats to calculate Expected Value and Standard Deviation
 * Does not check conditions for Normal model
 * Determining the appropriate alternative hypothesis
 * STAT-TESTS-ONE(OR 2) PROP ZTEST
 * Enter population parameter: p0
 * x: number of observed successes (must be a whole number)
 * n: sample size
 * prop: not-equal to, >, < dependent upon the alternative hypothesis that will be favored
 * Does not check conditions for Normal Model
 * STAT-TESTS-ONE(OR 2) PROP Z-INTERVAL
 * x: number of observed successes (must be a whole number)
 * n: sample size
 * C-Level: Confidence Level

=Unit VI: Testing Hypotheses for Means= 1. Use the Graphing Calculator to conduct a 1 and 2 sample t-test
 * Determine appropriate alternative hypothesis (one vs. two-tailed)
 * STAT-TESTS-ONE(OR 2) SAMP TTEST
 * Enter data/summary statistics (If data is stored in a list, Choose "Data"; If you have sample statistics, choose "Stats")
 * Input - u0: Parameter of Interest, List: The list your data is stored to, Freq: specify where frequencies are located (default is 1), u: alternative hypothesis whether it is a one or two-tailed test
 * Calculate - Displays the results of a hypothesis test
 * Draw - draws the t-curve and shades the area underneath that corresponds to the p-value
 * Repeat input process for a 2 sample t-test
 * Student Sheet**


 * Teacher Directions**


 * Spreadsheet for Data Collection**

[|T-test: Hypothesis Test] [|T-Interval: Confidence Interval]
 * Videos**