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TI‐83/84 Calculator Programs Used In Statistics Probability Distributions Key Strokes Format 2ND VARS (= DISTR) Returns For normal distribution with mean and standarddeviation Option 2: normalcdf( ZL , ZU , , Option 3: invnorm( P , , Probability that Z ZU Value of Z , ZP , for which P is the probability that Z ZP For t distribution with Ndof degrees of freedom Option 4: invT( P , Ndof Option 6: tcdf( tL , tU , Ndof ) Value of t , t p , for which P is the probability that t t P Probability that t For binomial distribution with n trials, probability of success p Option A: binompdf(n, p, x) Option B: binomcdf(n, p, x) Probability of exactly x successes in n trials Probability of x or fewer successes in n trials * invT not available for TI‐83 Confidence Intervals Key Strokes STAT (to TESTS) Option 7: Option 9: Option A: What to Enter Returns For normal distribution(s) ZInterval: Use Data (in a list) or Stats with standard deviation sample mean ̅ , and sample size n 2‐SampZInt: Use Data (in lists) or Stats with sample means ̅ and ̅ , sample sizes n1 , and n2 1‐PropZInt: Specify number of successes x in the sample, and sample of size n Confidence interval for population mean Confidence interval for difference between population means from two independent samples Confidence interval for population proportion p Confidence interval for difference Option B: 2‐PropZInt: Specify numbers of successes, between population proportions and for samples of size n1 , and n2 from two independent samples Option 8: Option 0: For t distribution(s) TInterval: Use Data (in a list) or Stats with Confidence interval for population sample standard deviation SX sample mean mean ̅ , sample size n 2‐SampTInt: Use Data (in lists) or Stats with sample standard deviations and , sample means ̅ and ̅ , for samples of size n1, and n2 Confidence interval for difference between population means from two independent samples Hypothesis Testing Key Strokes What to Enter For normal distribution(s) STAT (to TESTS) Option 1: Option 3: Option 5: Option 6: Z‐Test: Use Data (in a list) or Stats with Tests alternate hypothesis that population mean populationfor null >or <against hypothesis)sample mean ̅ and sample size null hypothesis that n 2‐SampZTest: Use Data (in lists) or Stats Tests alternate hypothesis that with population means >or<against population (for null hypothesis) sample means ̅ and ̅ and samples sizes null hypothesis that n1 and n2 Tests alternate hypothesis that 1‐PropZTest: Specify population proportion p pp >porp <pagainst p0, “number of successes” x in the sample , null hypothesis that p p and sample size n Tests alternate hypothesis that 2‐PropZTest: the number of successes p1 pp1>porp1<pagainst and in the samples and the sample sizes n1, and n2 null hypothesis that p1 p For t distribution(s) Option 2: Option 4: Returns T‐Test: Use Data (in a list) or Stats with population mean (for null hypothesis)sample mean ̅ and sample standard deviation and the sample of size n 2‐SampTTest: Use Data (in lists) or Stats with sample means ̅ and ̅ , sample sizes n1 , and n2 Tests alternate hypothesis that >or <against null hypothesis that Tests alternate hypothesis that population means >or<against null hypothesis that General Key Strokes MATH (to PRB) Format Returns (enter the number for N first, before the MATH key) Option 2: N nPr R Option 3: N nCr R Option 4: N! Option 5: randInt(ILL, IUL, N) number of permutations (arrangements) of N objects chosen R at a time (order matters) number of combinations (groupings) of N objects chosen R at a time (order doesn’t matter) N factorial = N x (N1) x (N2) … x 2 x 1 (N objects arranged in order) Generates N random integers between ILL and IUL