IntroductionThe Decision TreeThe t-Test on the TI-83Testing for NormalityAssignmentStudent’s tDistributionRobb T.KoetherIntroductionThe DecisionTreeThe t-Test onthe TI-83Testing forNormalityAssignmentStudent’s t DistributionLecture 35Section 10.2Robb T. KoetherHampden-Sydney CollegeWed, Mar 25, 2009Student’s tDistributionRobb T.KoetherIntroductionThe DecisionTreeThe t-Test onthe TI-83Testing forNormalityAssignmentOutline1Introduction2The Decision Tree3The t-Test on the TI-834Testing for Normality5AssignmentStudent’s tDistributionRobb T.KoetherIntroductionThe DecisionTreeThe t-Test onthe TI-83Testing forNormalityAssignmentIntroductionWe now have three different tests of hypotheses:1-sample z-test of proportions (1-PropZTest).1-sample z-test of means (Z-Test).1-sample t-test of means (T-Test).We need to be careful when deciding which test to use.It takes practice.Student’s tDistributionRobb T.KoetherIntroductionThe DecisionTreeThe t-Test onthe TI-83Testing forNormalityAssignmentIntroductionWe now have three different tests of hypotheses:1-sample z-test of proportions (1-PropZTest).1-sample z-test of means (Z-Test).1-sample t-test of means (T-Test).We need to be careful when deciding which test to use.It takes practice.Student’s tDistributionRobb T.KoetherIntroductionThe DecisionTreeThe t-Test onthe TI-83Testing forNormalityAssignmentIntroductionWe now have three different tests of hypotheses:1-sample z-test of proportions (1-PropZTest).1-sample z-test of means (Z-Test).1-sample t-test of means (T-Test).We need to be careful when deciding which test to use.It takes practice.Student’s tDistributionRobb T.KoetherIntroductionThe DecisionTreeThe t-Test onthe TI-83Testing forNormalityAssignmentIntroductionWe now have three different tests of hypotheses:1-sample z-test of proportions (1-PropZTest).1-sample z-test of means (Z-Test).1-sample t-test of means (T-Test).We need to be careful when deciding which test to use.It takes practice.Student’s tDistributionRobb T.KoetherIntroductionThe DecisionTreeThe t-Test onthe TI-83Testing forNormalityAssignmentIntroductionWe now have three different tests of hypotheses:1-sample z-test of proportions (1-PropZTest).1-sample z-test of means (Z-Test).1-sample t-test of means (T-Test).We need to be careful when deciding which test to use.It takes practice.Student’s tDistributionRobb T.KoetherIntroductionThe DecisionTreeThe t-Test onthe TI-83Testing forNormalityAssignmentIntroductionWe now have three different tests of hypotheses:1-sample z-test of proportions (1-PropZTest).1-sample z-test of means (Z-Test).1-sample t-test of means (T-Test).We need to be careful when deciding which test to use.It takes practice.Student’s tDistributionRobb T.KoetherIntroductionThe DecisionTreeThe t-Test onthe TI-83Testing forNormalityAssignmentThe Decision TreenXZ/σµ−=nXZ/σµ−≈Is σ known?Is the populationnormal?noyesnoyesIs n ≥ 30?noyesGive upCome backFridayStudent’s tDistributionRobb T.KoetherIntroductionThe DecisionTreeThe t-Test onthe TI-83Testing forNormalityAssignmentThe Decision TreenXZ/σµ−=nXZ/σµ−≈Is σ known?Is the populationnormal?noyesnoyesIs n ≥ 30?noyesGive upYou came back!Student’s tDistributionRobb T.KoetherIntroductionThe DecisionTreeThe t-Test onthe TI-83Testing forNormalityAssignmentThe Decision TreenXZ/σµ−=nXZ/σµ−≈Is σ known?Is the populationnormal?noyesnoyesIs n ≥ 30?noyesGive upIs the populationnormal?noyesStudent’s tDistributionRobb T.KoetherIntroductionThe DecisionTreeThe t-Test onthe TI-83Testing forNormalityAssignmentThe Decision TreenXZ/σµ−=nXZ/σµ−≈Is σ known?Is the populationnormal?noyesnoyesIs n ≥ 30?noyesGive upIs the populationnormal?noyesIs n ≥ 30?noyesStudent’s tDistributionRobb T.KoetherIntroductionThe DecisionTreeThe t-Test onthe TI-83Testing forNormalityAssignmentThe Decision TreenXZ/σµ−=nXZ/σµ−≈Is σ known?Is the populationnormal?noyesnoyesIs n ≥ 30?noyesGive upTZnsXT≈−=/µIs the populationnormal?noyesIs n ≥ 30?noyesStudent’s tDistributionRobb T.KoetherIntroductionThe DecisionTreeThe t-Test onthe TI-83Testing forNormalityAssignmentThe Decision TreenXZ/σµ−=nXZ/σµ−≈Is σ known?Is the populationnormal?noyesnoyesIs n ≥ 30?noyesGive upTZnsXT≈−=/µnsXT/µ−=Is the populationnormal?noyesIs n ≥ 30?noyesStudent’s tDistributionRobb T.KoetherIntroductionThe DecisionTreeThe t-Test onthe TI-83Testing forNormalityAssignmentThe Decision TreenXZ/σµ−=nXZ/σµ−≈Is σ known?Is the populationnormal?noyesnoyesIs n ≥ 30?noyesGive upTZnsXT≈−=/µnsXT/µ−=Is the populationnormal?noyesIs n ≥ 30?noyesIs n ≥ 30?noyesStudent’s tDistributionRobb T.KoetherIntroductionThe DecisionTreeThe t-Test onthe TI-83Testing forNormalityAssignmentThe Decision TreenXZ/σµ−=nXZ/σµ−≈Is σ known?Is the populationnormal?noyesnoyesIs n ≥ 30?noyesGive upyesTZnsXT≈−=/µnsXT/µ−=nXZ/sµ−≈Is the populationnormal?noyesIs n ≥ 30?noyesIs n ≥ 30?noyesStudent’s tDistributionRobb T.KoetherIntroductionThe DecisionTreeThe t-Test onthe TI-83Testing forNormalityAssignmentThe Decision TreenXZ/σµ−=nXZ/σµ−≈Is σ known?Is the populationnormal?noyesnoyesIs n ≥ 30?noyesGive upyesTZnsXT≈−=/µnsXT/µ−=nXZ/sµ−≈Is the populationnormal?noyesIs n ≥ 30?noyesIs n ≥ 30?noyesGive upStudent’s tDistributionRobb T.KoetherIntroductionThe DecisionTreeThe t-Test onthe TI-83Testing forNormalityAssignmentThe Decision TreenXZ/σµ−=nXZ/σµ−≈Is σ known?Is the populationnormal?noyesnoyesIs n ≥ 30?noyesGive upyesTZnsXT≈−=/µnsXT/µ−=nXZ/sµ−≈Is the populationnormal?noyesIs n ≥ 30?noyesIs n ≥ 30?noyesGive upStudent’s tDistributionRobb T.KoetherIntroductionThe DecisionTreeThe t-Test onthe TI-83Testing forNormalityAssignmentWhen to Use ZWhich statistic?Use z when σ is known and the population is normal (nomatter how small the sample).Student’s tDistributionRobb T.KoetherIntroductionThe DecisionTreeThe t-Test onthe TI-83Testing forNormalityAssignmentChoosing the StatisticnXZ/σµ−=nXZ/σµ−≈Is σ known?Is the populationnormal?noyesnoyesIs n ≥ 30?noyesGive upyesTZnsXT≈−=/µnsXT/µ−=nXZ/sµ−≈Is the populationnormal?noyesIs n ≥ 30?noyesIs n ≥ 30?noyesGive upStudent’s tDistributionRobb T.KoetherIntroductionThe DecisionTreeThe t-Test onthe TI-83Testing forNormalityAssignmentWhen to Use ZWhich statistic?Use z when the population is not normal, but the samplesize is large (whether or not σ
View Full Document
Unlocking...