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Statistics – Calculator Stuff Summary of a List of Data Put the data in L1 inside the STAT “EDIT” menu Go back to the STAT menu and go over to “CALC Choose 1-Var Stats x is the mean Sx is the standard deviation assuming the data was a sample x is the standard deviation assuming the data was the entire population Q1 is the lower quartile (25%) Q3 is the upper quartile (75%) Med is the median Linear Regressions In STAT 1. put inputs (x’s) in L1 and outputs (y’s) in L2 2. Turn plot1 on (as a scatterplot), then use ZOOM 9 to see scatter plot 3. In STAT, CALC, choose LinReg(a + bx) 4. Put formula in Y1 Standard Normal Distribution In DISTR 1. normalcdf(a, b) gives the standard normal probability P(a < z < b) 2. invNorm(#) gives the z – value z* such that P(z < z*) = # t Distribution In DISTR 1. tcdf(a, b, m) gives the probability that P(a < t < b) on the t curve with m df χ2 Distribution In DISTR 1. χ2cdf(a, b, m) gives the probability that P(a < χ2 < b) on the χ2 curve with m df 1 Sample Confidence Interval for π In STAT – inside TESTS 1. 1-PropZInt x = # successes, n = sample size, C – Level = desired confidence level 2 Sample Confidence Interval difference in two π’s In STAT – inside TESTS 1. 2-PropZInt x1 = # successes in sample 1, n1 = sample 1 size x2 = # successes in sample 2, n2 = sample 2 size C – Level = desired confidence level One Sample z Test for a Population Proportion In STAT – inside TESTS 1. 1-PropZTest p0 = hypothesized value of proportion x = number of successes n = sample size Two Sample z Test for Difference in 2 Population Proportions In STAT – inside TESTS 1. 2PropZTest x1 = number of successes in sample 1 n1= sample 1 size x2= number of successes in sample 2 n2= sample 2 size Confidence Interval for a Single Population Mean In STAT – inside TESTS 1. ZInterval (if is known) or 2. TInterval (if is unknown) Choose “Data” if data is in L1 Choose “Stats” if x , n, and standard deviation (population or sample) is known One Sample Test for a Population Mean In STAT – inside TESTS 1. Z-Test… (if is known) or 2. T-Test… (if is unknown) Choose “Data” if data is in L1 Choose “Stats” if x , n, and standard deviation (population or sample) are known Confidence Interval for Diference in 2 Population Means In STAT – inside TESTS 1. 2-SampZInt (if ‘s are known) or 2. 2-SampTInt (if is unknown) Choose “Data” if data is in L1 and L2 Choose “Stats” if x1 , n1, s1, x 2 , n2, s2 are known Two Sample Test for Difference in 2 Population Means In STAT – inside TESTS 1. 2-SampZTest…(if is known) or 2. 2-SampTTest…(if is unknown) Choose “Data” if data is in L1 and L2 Choose “Stats” if x1 , n1, s1, x 2 , n2, s2 are known χ2 Goodness of Fit Test 1. Put observed counts in L 1 and hypothesized p’s in L2 Go to PRGM Choose CHI2