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H-SC MATH 121 - Lecture 35 - Student's t Distribution

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Student s t Distribution Robb T Koether Introduction The Decision Tree The t Test on the TI 83 Student s t Distribution Lecture 35 Section 10 2 Testing for Normality Assignment Robb T Koether Hampden Sydney College Wed Mar 25 2009 Outline Student s t Distribution Robb T Koether 1 Introduction 2 The Decision Tree 3 The t Test on the TI 83 4 Testing for Normality 5 Assignment Introduction The Decision Tree The t Test on the TI 83 Testing for Normality Assignment Introduction Student s t Distribution Robb T Koether Introduction The Decision Tree The t Test on the TI 83 Testing for Normality Assignment We 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 Introduction Student s t Distribution Robb T Koether Introduction The Decision Tree The t Test on the TI 83 Testing for Normality Assignment We 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 Introduction Student s t Distribution Robb T Koether Introduction The Decision Tree The t Test on the TI 83 Testing for Normality Assignment We 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 Introduction Student s t Distribution Robb T Koether Introduction The Decision Tree The t Test on the TI 83 Testing for Normality Assignment We 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 Introduction Student s t Distribution Robb T Koether Introduction The Decision Tree The t Test on the TI 83 Testing for Normality Assignment We 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 Introduction Student s t Distribution Robb T Koether Introduction The Decision Tree The t Test on the TI 83 Testing for Normality Assignment We 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 The Decision Tree Student s t Distribution Is known yes Robb T Koether Is the population normal Introduction yes The Decision Tree The t Test on the TI 83 Testing for Normality Assignment no Z Come back Friday no X n Is n 30 yes Z X n no Give up The Decision Tree Student s t Distribution Is known yes Robb T Koether Is the population normal Introduction yes The Decision Tree The t Test on the TI 83 Testing for Normality Assignment no Z You came back no X n Is n 30 yes Z X n no Give up The Decision Tree Student s t Distribution Is known yes Robb T Koether Is the population normal Introduction yes The Decision Tree The t Test on the TI 83 Testing for Normality Assignment no Z Is the population normal no X n yes Is n 30 yes Z X n no Give up no The Decision Tree Student s t Distribution Is known yes Robb T Koether Is the population normal Introduction yes The Decision Tree The t Test on the TI 83 Testing for Normality Assignment no Z Is the population normal no X n yes Is n 30 yes Z X n no Is n 30 no Give up yes no The Decision Tree Student s t Distribution Is known yes Robb T Koether Is the population normal Introduction yes The Decision Tree The t Test on the TI 83 Testing for Normality Assignment no Z Is the population normal no X n yes Is n 30 yes Z X n no Is n 30 no Give up yes X s n Z T T no The Decision Tree Student s t Distribution Is known yes Robb T Koether Is the population normal Introduction yes The Decision Tree The t Test on the TI 83 Testing for Normality Assignment no Z Is the population normal no X n yes Is n 30 yes Z X n no Is n 30 no Give up yes no X X T s n s n Z T T The Decision Tree Student s t Distribution Is known yes Robb T Koether Is the population normal Introduction yes The Decision Tree The t Test on the TI 83 Testing for Normality Assignment no Z Is the population normal no X n yes Is n 30 yes Z X n no Is n 30 no Give up yes Is n 30 no X X T s n s n Z T T yes no The Decision Tree Student s t Distribution Is known yes Robb T Koether Is the population normal Introduction yes The Decision Tree The t Test on the TI 83 Testing for Normality Assignment no Z Is the population normal no X n yes Is n 30 yes Z X n no Is n 30 no Give up yes Is n 30 no X X T s n s n Z T T yes Z no X s yes n The Decision Tree Student s t Distribution Is known yes Robb T Koether Is the population normal Introduction yes The Decision Tree The t Test on the TI 83 Testing for Normality Assignment no Z Is the population normal no X n yes Is n 30 yes Z X n no Is n 30 no Give up yes Is n 30 no X X T s n s n Z T T yes Z no X s yes n Give up The Decision Tree Student s t Distribution Is known yes Robb T Koether Is the population normal Introduction yes The Decision Tree The t Test on the TI 83 Testing for Normality Assignment no Z Is the population normal no X n yes Is n 30 yes Z X n no Is n 30 no Give up yes Is n 30 no X X T s n s n Z T T yes Z no X s yes n Give up When to Use Z Student s t Distribution Robb T Koether Introduction The Decision Tree The t Test on the TI 83 Testing for Normality Assignment Which statistic Use z when is known and the population is normal …


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