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Quantitative Research Methods-hmwk-wk6-cutler

# Quantitative Research Methods-hmwk-wk6-cutler -...

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Quantitative Research Methods Instructor: Brian Sloboda Unit 6: Week 6 (Apr 21 - Apr 27) - Week 6 Homework Amy Cutler Chapter 12 Page 382, #22 A physician who specializes in weight control has three different diets she recommends. As an experiment, she randomly selected 15 patients and then assigned 5 to each diet. After 3 weeks the following weight losses, in pounds were noted. At the .05 significance level, can she conclude that there is a difference in the mean amount of weight loss among the three diets? Plan A Plan B Plan C 5 6 7 7 7 8 4 7 9 5 5 8 4 6 9 H0:u1=u2=u3; H1: not all treatment means are equal Plan A X=EX/n=5+7+4+5+4/5=5 Plan B X=EX/n=6+7+7+5+6/5=6.2 Plan C X=EX/n=7+8+9+8+9/5=8.2

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H0 is rejected. There is a difference in treatment means. Accept H1 #22 One factor ANOVA Mea n n Std. Dev 5.0 5 1.22 Group 1 6.2 5 0.84 Group 2 8.2 5 0.84 Group 3 6.5 15 1.64 Total ANOVA table Source SS df MS F p- value Treatment 26.13 2 13.067 13.52 .0008 Error 11.60 12 0.967 Total 37.73 14 Post hoc analysis p-values for pairwise t-tests Group 1 Group 2 Group 3 5.0 6.2 8.2 Group 1 5.0 Group 2 6.2 .0776 Group 3 8.2 .0002 .0074 Tukey simultaneous comparison t-values (d.f. = 12) Group 1 Group 2 Group 3 5.0 6.2 8.2 Group 1 5.0 Group 2 6.2 1.93 Group 3 8.2 5.15 3.22 critical values for experimentwise error rate: 0.05 2.67 0.01 3.56
Yes, the means are different. Page 384, #28 Three assembly lines are used to produce a certain component for an airliner.  To examine  the production rate, a random sample of six hourly periods is chosen for each assembly line  and the number of components produced during these periods for each line is recorded.  The  output from a statistical software package is: Summary Groups                        Count                              Sum                                Average                      Variance     Line A 6 250 41.66667 .266667

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Line B 6 260 43.33333 .666667 Line C 6 249 41.5 .7 ANOVA Source of Variation                  SS                                   df                   MS                                  F                                    p-value     Between Groups 12.33333 2 6.166667 11.32653 .001005 Within Groups 8.166667 15 .544444 Total 20.5 17 One factor ANOVA Mean n Std. Dev 74.48333 4 118.435797 a 77.50000 4 123.138435 b 74.30000 4 117.866846 c 75.42778 12 108.407459 Total ANOVA table Source SS d f MS F p- value Treatment 25.831832 2 12.9159162 0.00 .9991 Error 129,248.116575 9 14,360.9018417 Total 129,273.948407 11
a. Use a .01 level of significance to test if there is a difference in the mean production of the  three assembly lines. There is a slight difference in the means…

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Quantitative Research Methods-hmwk-wk6-cutler -...

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