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Type of Statistics Problem TI-83 Command Reference* Mean, Median, Quartiles, Standard Deviation Find the specific values for a data set Histogram Plot Given a set of data, make a vertical bar chart showing the frequencies of occurrences of equal intervals of the data. Box Plot Given a set of data, plot the minimum, first quartile, median, third quartile, and maximum Scatter Plot Given two sets of data, plot corresponding values as points on an x-y coordinate plane Normal Probability Plot Given a set of data, check to see if it is a normal distribution. If the plot results in a straight line it is normal Normal Distribution Given lower bound (L) and upper bound(U) of interval, find the area above the interval Normal Distribution Given the area from the left above the interval (- , b), find the value of b. 1-Var Stats Stat-Edit (Enter Data) Stat-Calc-1 (Calculate Values) Statistics Plots 2nd-Stat Plot (3rd Icon Type) WS #22 Statistics Plots 2nd-Stat Plot (4th and 5th Icon types. Statistics Plots 2nd-Stat Plot (1st Icon Type) WS #22 Statistics Plots 2nd-Stat Plot (6th Icon Type) WS #27 PGRM NORMDIST 1 (L, U, , ) PGRM NORMDIST 2 (Area from left as decimal, , ) PGRM TDIST WS #23 Add-in Programs WS #23 Add-in Programs RandInt(a, b, n) Math-Prob-5 WS #25 PGRM CRITVAL Add-in Programs PGRM STDERROR Add-in Programs T Distribution Given the lower and upper bounds of an interval, find the area above the interval Random Numbers Find a list of n random integers between a and b Critical Values Find the critical value for a level of confidence to use to construct a confidence interval of a proportion or mean Standard Error Find the standard error to use to construct a confidence level or hypothesis test * WS #21 WS #24 Add-in Programs Reference is to worksheets found under TI-83 Help at www.mikeshoreline.com www.mikeshoreline.com 4/29/2017 WS 20 Page 1 of 3 Type of Statistics Problem Sample Size Given a desired confidence level and margin of error, find the required sample size Confidence Interval – One Proportion Find a confidence interval for a sample proportion Confidence Interval – Two Proportions Find confidence interval for the difference of two sample proportions Confidence Interval – Mean Find the confidence interval for a sample mean when the population standard deviation is estimated by the standard error Confidence Interval – Two Means Find the confidence Interval for the difference of two sample means when the standard deviation is estimated by the standard error Hypothesis Test – One Proportion Given one sample proportion, find the p-value that it is a sampling variation of a given value Hypothesis Test – Two Proportions Given two sample proportions, find the p-value that their difference is a sampling variation of a true difference of zero. Hypothesis Test – Mean Given one sample mean, find the p-value that it is a sampling variation of a given value. Hypothesis Test – Two Means Given two sample means, find the p-value that their difference is a sampling variation of a true difference of zero. Hypothesis Test – The Power of the Test Given a null hypothesis, and alpha level, and assumed true alternate hypothesis, find the power of the test. www.mikeshoreline.com 4/29/2017 TI-83 Command Reference PGRM SAMPLSIZ Add-in Programs 1-PropZInt Stat-Tests-A WS #26 2-PropZInt Stat-Tests-B WS #26 TInterval Stat-Tests-8 WS #28 2-SampTInt Stat-Tests-0 WS #28 1-PropZTest Stat-Tests-5 WS #26 2-PropZTest Stat-Tests-6 WS #26 T-Test Stat-Tests-2 WS #28 2-SampTTest Stat-Tests-4 WS #28 PGRM POWRTEST Add-in Programs WS 20 Page 2 of 3 Type of Statistics Problem Paired Samples – Confidence Interval Given two sets of data with related numbers for each subject, i.e. before treatment and after, find the confidence interval around the sum of the pair-wise differences Paired Samples –Hypothesis Test Test the single list of the pair-wise differences Comparing Counts – Chi-Square Distribution Given a set of counts related to a categorical variable, check the “goodness of fit” to a particular model. Given multiple distributions of categorical variables, check to see if they are homogeneous. Given a two-way table for two categorical variables, check to see if they are independent. Linear Regression and Correlation Given two sets of data, find the equation of the line that best models the relationship TI-83 Command PGRM PARDSAMP Confidence Interval Add-in Programs PGRM PARDSAMP Hypothesis Test 2 cdf 2nd Dist-7 Add-in Programs WS #29 2 Test Stat-Tests-Alpha C PRGM GOODFIT LinReg(ax+b) Stat-Calc-4 PGRM REGBASIC PRGM Linear Regression – Inference Find the confidence intervals for the regression REGINFER coefficients, for predictions using confidence intervals and test the hypothesis that the coefficients =0. PRGM Linear Regression – Multiple Regression Given data for one dependent variable and REGMULTI data for multiple independent variables, find the linear equation that modes the relationship. Find confidence intervals for the coefficients and predictions and tests the hypotheses that each of the coefficients =0. ANOVA( Analysis of Variance – F Test Given multiple sets of data, or the sample size, Stat-Tests-Alpha F mean and standard deviation of multiple sets of PRGM data, test the hypothesis that the means are all ANOVSTAT equal using the F-distribution. www.mikeshoreline.com 4/29/2017 Reference WS #24 Add-in Programs Add-in Programs WS #32 WS #31 WS 20 Page 3 of 3