Question

(2 points) Use the Minitab display to test the claims. Use the a= 0.05 significance level. The sample data are SAT scores on the verbal and math portions of SAT-I Analysis of Variance for SAT Source DF SS MS F р Gender 1 52712 52712 5.07 0.031 Ver/Math 5983 5983 0.58 0.453 Interaction 31428 31128 3.02 0.091 Error 34 376420 10399 Total 37 466543 1 Test the claim that SAT scores are not affected by an interaction between gender and test (verbal/math). The F-test statistic is The P value is Does there appear to be a significant effect from the interaction between gender and test? A. No B. Yes Test the claim that gender has an effect on SAT scores The F test statistic is The P-value is Is there sufficient evidence to support the claim that gender has an effect on SAT scores? A. Yes B. NO Test the claim that the type of test (math/verbal) has an effect on SAT scores The F test statistic is The P-value is Is there sufficient evidence to support the claim that the type of test has an effect on SAT scores? A. Yes B. No

Answer 1

ANOVA table Р MS F DF SS 52712 Source Gender Verlmath Interaction 5.07 0.58 3.02 0.031 (ii) 0.453 (1) 0.091 ci - 1 5983 31428 10399 Total 3.02 52712 5483 31428 376420 466543 = 0.05 Significance level. lis claim: Sat Scores are not affected by interaction between gender and test Everbal smath) CHA. The f-test statistic is, The p-value is 10.091 (Note: P-value > x=ool level. So do not reject Ho). There appear to be significant effect from interaction. A O NO option cil claim. The Gender has an effect on SAT Score The F-test statisticus Soor The p-value is (Note: P-value <a . reject Ho). There is suffiuent evidence to support the claim that gender (HA) has effect on SAT Score option O A yes (111) claim : Type of tes has an effect on SAS Cores (the The F- Statistic is 0.58 P-value 0-453 0.031 So we (Note: p-value > So do not reject to.) There is subtilient evidence to support the claim option OB NO.