EASTERN ARIZONA COLLEGE Introduction to Statistics

Transcription

1 EASTERN ARIZONA COLLEGE Intrductin t Statistics Curse Design Curse Infrmatin Divisin Scial Sciences Curse Number PSY 220 Title Intrductin t Statistics Credits 3 Develped by Adam Stinchcmbe Lecture/Lab Rati 3 Lecture/0 Lab Transfer Status ASU NAU UA PSY 230, STP 226, SWU 321, Cmputer/Stats (CS) Nte: Carries lwerdivisin credit nly PSY 230 Nte: Students will receive 3 units f credit tward NAU's PSY 230 (which is 4 units). PSY majrs will need t take an additinal unit upn transfer. PSY 230 Activity Curse N CIP Cde Assessment Mde Pre/Pst Test (20 Questins/100 Pints) Semester Taught Fall and Spring GE Categry Mathematics Separate Lab N Awareness Curse N Intensive Writing Curse N Prerequisites MAT 140 r higher with a grade f "C" r higher r placement test scre as established by District plicy Educatinal Value This curse will satisfy part f the general educatin requirements fr graduatin frm EAC as well as ther clleges and universities. Descriptin Intrduces statistical methds as applied t cllecting, tabulating, analyzing, presenting, and interpreting data. Tpics cvered include frequency distributins, measures f central tendency, measures f dispersin, elementary prbability thery, estimatin, hypthesis testing, regressin and crrelatin. A basic curse fr students in business, behaviral and scial sciences. Identical t MAT 160. EASTERN ARIZONA COLLEGE Intrductin t Statistics

2 Supplies Scientific Calculatr; TI-83 r TI-84 recmmended r graphing calculatr with extensive statistical features. Cmpetencies and 1. Cnstruct and interpret frequency and relative frequency distributins. a. Use a calculatr r cmputer sftware t cnstruct a frequency, r relative frequency distributin frm a given set f data b. Discuss the characteristics f a data set as revealed by a frequency, r relative frequency distributin fr the data. Cmpare and cntrast distributins. Yu can use a calculatr r cmputer sftware t cnstruct a frequency, r relative frequency distributin frm a given set f data. Yu can discuss the characteristics f a data set as revealed by a frequency, r relative frequency distributin fr the data. 2. Calculate measures f central tendency and dispersin fr a data set. a. Use a calculatr r cmputer sftware t calculate the mean, median, and mde fr a data set, and be able t discuss the similarities and differences between these measures f central tendency. b. Use a calculatr r cmputer sftware t calculate the range, variance, and standard deviatin fr a data set, and be able t discuss the similarities and differences between these measures f dispersin. Yu can use a calculatr r cmputer sftware t calculate the mean, median, range, variance, and standard deviatin fr a data set. EASTERN ARIZONA COLLEGE Intrductin t Statistics

3 3. Determine the prbabilities f events. a. Define prbability b. Determine the prbability f an event in a simple prbability experiment c. Determine the prbability f cmbined independent events d. Verify the independence f utcmes using prbabilities. Yu can define prbability. Yu can determine the prbability f an event in a simple prbability experiment. Yu can determine the prbability f cmbined independent events. Yu can determine whether events are dependent r independent. 4. Understand binmial prbability distributins a. Identify a binmial experiment. b. Use the frmula fr binmial prbabilities t calculate binmial prbabilities. c. Use technlgy t find binmial prbabilities, and cnstruct binmial prbability distributins. d. Calculate the mean and the standard deviatin fr a binmial prbability distributin. e. Slve prbability prblems related t binmial experiments. Yu can define a binmial experiment. Yu can use the frmula fr binmial prbabilities t calculate binmial prbabilities Yu can use technlgy t find binmial prbabilities, and cnstruct binmial prbability distributins. Yu can calculate the mean and the standard deviatin fr a binmial prbability distributin. EASTERN ARIZONA COLLEGE Intrductin t Statistics

4 5. Understand nrmal prbability distributins. a. Sketch a nrmal prbability distributin. b. Define the Standard Nrmal Prbability Distributin. c. Cnvert between raw data scres t standardized scres. d. Use technlgy t determine prbabilities assciated with any nrmal distributin. e. Slve prbability prblems assciated with any nrmal distributin. Yu can sketch a nrmal prbability distributin. Yu can define the Standard Nrmal Prbability Distributin. Yu can cnvert between raw data scres t standardized scres. Yu can use technlgy t determine prbabilities assciated with any nrmal distributin. Yu can slve prbability prblems assciated with any nrmal distributin. 6. Understand sampling distributins and the Central Limit Therem. a. Define a sampling distributin. b. Understand the Central Limit Therem. c. Cnstruct sampling distributins fr a mean. d. Apply the Central Limit Therem t find prbabilities assciated with the sampling distributin fr the mean. Yu can define a sampling distributin. Yu can understand the Central Limit Therem Yu can apply the Central Limit Therem t find prbabilities assciated with the sampling distributin fr the mean. EASTERN ARIZONA COLLEGE Intrductin t Statistics

5 7. Estimate a ppulatin parameter. a. Define the terms: cnfidence level, cnfidence interval, and errr. b. Outline the basic prcedure fr estimating a ppulatin parameter. c. Determine and interpret a cnfidence interval fr a mean with large samples. d. Determine and interpret a cnfidence interval fr a mean with small samples. e. Determine and interpret a cnfidence interval fr a prprtin. Yu can define the terms: cnfidence level, cnfidence interval, and errr. Yu can utline the basic prcedure fr estimating a ppulatin parameter. Yu can determine and interpret a cnfidence interval fr a mean, given a large sample, using the nrmal distributin. Yu can determine and interpret a cnfidence interval fr a mean, given a small sample, using the t-distributin. Yu can determine and interpret a cnfidence interval fr a prprtin. 8. Cnduct a hypthesis test with ne sample a. Define the terms: null hypthesis, alternate hypthesis, level f significance, critical value, and critical regin. b. Understand and make crrect use f the ntatin assciated with cnducting a hypthesis test. c. Outline the basic prcedure fr cnducting a hypthesis test. d. Cnduct a hypthesis test fr a mean with a large sample. e. Cnduct a hypthesis test fr a mean with a small sample. f. Cnduct a hypthesis test fr a ppulatin prprtin. Yu can define the terms: null hypthesis, alternate hypthesis, level f significance, critical value, and critical regin. Yu can understand and make crrect use f the ntatin assciated with cnducting a EASTERN ARIZONA COLLEGE Intrductin t Statistics

6 hypthesis test. Yu can utline the basic prcedure fr cnducting a hypthesis test. Yu can cnduct a hypthesis test fr a mean with a large sample. Yu can cnduct a hypthesis test fr a mean with a small sample. Yu can cnduct a hypthesis test fr a ppulatin prprtin. 9. Cnduct a hypthesis test with tw samples a. Cnduct a hypthesis test fr the difference f means with large independent samples. b. Cnduct a hypthesis test fr the difference f means with small independent samples. c. Cnduct a hypthesis test fr the difference f means with paired samples. d. Cnduct a hypthesis test fr the difference f a ppulatin prprtin. Yu can cnduct a hypthesis test fr the difference f means with large independent samples. Yu can cnduct a hypthesis test fr the difference f means with small independent samples. Yu can cnduct a hypthesis test fr the difference f means with paired samples. Yu can cnduct a hypthesis test fr the difference f a ppulatin prprtin. 10. Examine the linear crrelatin between tw variables. a. Define and discuss the least squares line fr a data set. b. Define and discuss the crrelatin cefficient fr a paired data set. c. Use a calculatr r cmputer sftware t determine the least squares line, and Pearsn's crrelatin cefficient. d. Discuss the linear crrelatin fr given set f data. Yu can define and discuss the least squares line fr a data set. Yu can use a calculatr r cmputer sftware t determine the least squares line, and EASTERN ARIZONA COLLEGE Intrductin t Statistics

7 Pearsn's crrelatin cefficient. Yu can discuss the linear crrelatin fr given set f paired data. Types f Instructin Classrm Presentatin Grading Infrmatin Grading Ratinale Each instructr has the flexibility t develp evaluative prcedures within the fllwing parameters. 1. Written exams must represent at least 60% f the final curse grade 2. Final exam must represent at least 20% f the final curse grade. 3. The Pst Test is t be embedded in the final exam and must represent at least 10% f the final curse grade. 4. Other activities may represent at mst 20% f the final curse grade. Grading Scale A 90%-100% B 80%-89% C 70%-79% D 60%-69% F Belw 60% EASTERN ARIZONA COLLEGE Intrductin t Statistics