1. Sit in Groups Lab7_9.9 Effects on Adolescents’ Romantic Ideals 1.Answer the Q1, Q2,Q4-11 2.Compare your answers with your partners 3.Class discussion 1

2. Q5-8 Miles driven by 1st ownerGroups Longevity RatingGroups Meangroup6Meangroup12 Mediangroup5Mediangroup11 Modegroup4Modegroup10 Rangegroup3Rangegroup9 Variancegroup2Variancegroup8 SDgroup1SDgroup7

3. Q5-8 Miles driven by 1st ownerGroups Longevity RatingGroups Meangroup6136.5Meangroup124.1 Mediangroup5133.5Mediangroup114 Modegroup4All valuesModegroup104 Rangegroup344Rangegroup94 Variancegroup2187.25Variancegroup81.89 SDgroup113.68SDgroup71.37

4. “ # Of loss threads” These data are normally distributed, although the mean is pulled in the negative direction in comparison to the median and there appears to be a slight tail in the negative direction, the skewness statistic of ( ) falls between +/-.76 on the skewness table indicating the distribution is normal enough to continue with parametric statistical analyses.

5. Q9,10: Normal distribution Reference to measures of central tendency The graph The skewness statistic Q9,Q10: Criteria? +/-.96 Q9: mean is pulled away from the median in the positive direction Q10: mean, median are relatively the same

6. Normal Distribution 0 z 1 z 2 z 3 z -1 z -2 z -3 z 1 z What is the z-score? z = σ

7. Percentile Comparison score Good or bad an observation did as compared to the whole population Percent of the population below a z-score The larger the Z score, the larger the percentile

8. Individual Scores To calculate a raw score (X) you need: Population mean (μ) Population standard deviation (σ) Z-score (z)

9. Q12 Title, labels SD Z ScoreCalculationVariable 1 0136.5 1=( )+13.68Group7 =( )-13.68Group8 2=( )+(13.68*2)Group9 -2=( )- (13.68*2)Group10 3=( )+(13.68*3)Group11 -3=( )-(13.68*3)Group12

10. Q12 Title, labels SD Z ScoreCalculationVariable 1 0136.5 1=( )+13.68150.18 =( )-13.68122.82 2=( )+(13.68*2)163.68 -2=( )- (13.68*2)109.14 3=( )+(13.68*3)177.54 -3=( )-(13.68*3)95.46

11. Q12 (practice) Title, labels SD Z ScoreCalculationVariable 2 04.1 1=( )+1.37Group1 =( )-1.37Group2 2=( )+(1.37*2)Group3 -2=( )- (1.37*2)Group4 3=( )+(1.37*3)Group5 -3=( )-(1.37*3)Group6

12. Q12 (practice) Title, labels SD Z ScoreCalculationVariable 2 04.1 1=( )+1.375.47 =( )-1.372.73 2=( )+(1.37*2)6.84 -2=( )- (1.37*2)1.36 3=( )+(1.37*3)8.21 -3=( )-(1.37*3)-.01

13. Formula Percentile (B-1 table) Z-score =(X-Mean)/SD 13 Z ScorePercentile Positive50%+2 nd column (% mean to z) Negative3 rd c0lumn (% in tail)

14. Q13 (1) Miles Driven by 1 st owner Vehicle NameRaw dataCalculationZ-scorePercentile 1. Audi A6154K (154-136.5)/13.68 1.28 90 th 2.Mercedes E-class134K 3. Scion*B159K (159-136.5)/13.68 1.64 95 th 4. Toyota Prius115k 5. Toyota 4Runner133k 6. Toyota Sienna125k 7. Toyota Sequoia142k (142-136.5)/13.68.40 66 th 8. Toyota Tundra130k

15. Q13 (1) Miles Driven by 1 st owner Vehicle NameRaw dataCalculationZ-scorePercentile 1. Audi A6154K (154-136.5)/13.68 1.28 90 th 2.Mercedes E-class134KGroup1Group2 3. Scion*B159K (159-136.5)/13.68 1.64 95 th 4. Toyota Prius115kGroup3Group4 5. Toyota 4Runner133kGroup5Group6 6. Toyota Sienna125kGroup7Group8 7. Toyota Sequoia142k (142-136.5)/13.68 Group9Group10 8. Toyota Tundra130kGroup11Group12

16. Q13 (1) Miles Driven by 1 st owner Vehicle NameRaw dataCalculationZ-scorePercentile 1. Audi A6154K (154-136.5)/13.68 1.28 90 th 2.Mercedes E-class134K-.18 43 th 3. Scion*B159K (159-136.5)/13.68 1.64 95 th 4. Toyota Prius115k-1.57 6 th 5. Toyota 4Runner133k-.25 40 th 6. Toyota Sienna125k-.84 20 th 7. Toyota Sequoia142k (142-136.5)/13.68.40 66 th 8. Toyota Tundra130k-.47 32 th

17. Q13 (1) Miles Driven by 1 st owner Vehicle NameRaw dataCalculationZ-scorePercentile 1. Audi A6154K (154-136.5)/13.68 1.28 90 th 2.Mercedes E-class134KGroup1Group2 3. Scion xB159K (159-136.5)/13.68 1.64 95 th 4. Toyota Prius115kGroup3Group4 5. Toyota 4Runner133kGroup5Group6 6. Toyota Sienna125kGroup7Group8 7. Toyota Sequoia142k (142-136.5)/13.68 Group9Group10 8. Toyota Tundra130kGroup11Group12

18. Q13(2) Longevity Rating Vehicle NameRaw dataCalculationZ-scorePercentile 1. BMX X14 2.Honda Fit5 3. Honda Ridgeline4 4. Infinity G373(3-4.1)/1.37-.80 22 th 5. Lexus ES6 6. Lexus RX5 7. Mazda 56 8. Porsche Boxster2(2-4.1)/1.37-1.53 6 th 9. Subaru Forester2(2-4.1)/1.37-1.53 6 th 10.Subaru Legacy4

19. Q13(2) Longevity Rating Vehicle Name Raw dataCalculationZ-scorePercentile 1. BMX X14Group2Group 1 2.Honda Fit5Group4Group 3 3. Honda Ridgeline4Group6Group 5 4. Infinity G373(3-4.1)/1.37-.80 22 th 5. Lexus ES6Group8Group 7 6. Lexus RX5Group10Group 9 7. Mazda 56Group12Group 11 8. Porsche Boxster2(2-4.1)/1.37-1.53 6 th 9. Subaru Forester2(2-4.1)/1.37-1.53 6 th 10.Subaru Legacy4Classclass

20. Q13(2) Longevity Rating Vehicle Name Raw dataCalculationZ-scorePercentile 1. BMX X14-.07 50 th 2.Honda Fit5.66 68 th 3. Honda Ridgeline4-.07 50 th 4. Infinity G373(3-4.1)/1.37-.80 22 th 5. Lexus ES61.39 92 th 6. Lexus RX5.66 68 th 7. Mazda 561.38 92 th 8. Porsche Boxster2(2-4.1)/1.37-1.53 6 th 9. Subaru Forester2(2-4.1)/1.37-1.53 6 th 10.Subaru Legacy4-.07 50 th

21. Q15: Statistical decision Scion xB Z score Mean Best Longevity

22. Q1,2 Population Measured in two different ways Variable 1: average number of miles driven by 1 st owners :ratio Variable2:longevity ratings on a 10 point scale: interval How many for each variable?

23. Q15: practical decision Z-score (above the average?) Two variables High reliability does not necessarily mean high validity Additional insights(e.g., functionality) More than one answer(e.g., Subaru Forester)

24. Q3: operational definition Order of garment wear out is measured in rankings where the first garment to wear out is labeled as 1, the second as 2, etc. Low rankings represent low quality. The procedures to determine the order of wear out is to place all 15 garments into a washer at the same time and wash on the normal setting.

25. Q3 …….measured by a …..scale The lower the rating, the better the longevity Average scores Obtained by JD power and Associates (JDPA)