A researcher is interested in testing whether there is a difference in mean IQ level among...

 

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A researcher is interested in testing whether there is a difference in mean IQ level among people with varying levels of education (ed-level). For the ed-level variable, o = no high school degree, 1 = high school graduate, 2 college graduate, 3 = graduate degree. The researcher produces the Minitab output on the following page. Find the value of ?1 (the missing F value) (A) 44.77 (B) 55.52 (C) 38.71 (D) 43.89 (E) 49.23 %3D %3D !3! One-way ANOVA: IQ versus ED-LEVEL Mathod Null hypothesia Alternative hypothesis At least one mean la difterent significance level All means are equal O- 0.05 Equal variances were assumed for the analysis. Factor Information Levels 4. Factor Values ED-LEVEL 0, 1, 2, 3 Analysis of Variance Source ED-LEVEL DF Adj ss Adj MS F-Value P-Value 0.000 Error Total 86 Model Summary R-sq R-sq (adj) R-aq (pred) 59.914 57.574 Means 95 CI 6.02 ( 97,55, 105.34) (104.721, 108.612) 5.96 (114.65, 118.65) 5.17 ( 122.75, 131.00) ED-LEVEL Mean StDev 101.44 36 106.667 116.65 5.875 2 2. 3 126.88 Pooled StDev ? Fisher Pairwise Comparisona Fisher Individual Tests for Differences of Means Adjusted F-Value 0.019 0.000 0.000 0.000 0.000 0.000 SE of Difference Difference of Levels 1-0 2 -0 3-0 2 - 1 3-1 3-2 99.1667 CI ? (-0.69, 1.13) 7 (9.26, 21.15) ? (17.72, 33.14) ? ( 6.19, 13.77) ? (14.01, 26.41) 7( 3.99, 16.46) of Means Difterence 5.22 T-Values 15.20 25.43 9.98 20.21 10.23 Simultaneous confidence level - 95.931 A researcher is interested in testing whether there is a difference in mean IQ level among people with varying levels of education (ed-level). For the ed-level variable, o = no high school degree, 1 = high school graduate, 2 college graduate, 3 = graduate degree. The researcher produces the Minitab output on the following page. Find the value of ?1 (the missing F value) (A) 44.77 (B) 55.52 (C) 38.71 (D) 43.89 (E) 49.23 %3D %3D !3! One-way ANOVA: IQ versus ED-LEVEL Mathod Null hypothesia Alternative hypothesis At least one mean la difterent significance level All means are equal O- 0.05 Equal variances were assumed for the analysis. Factor Information Levels 4. Factor Values ED-LEVEL 0, 1, 2, 3 Analysis of Variance Source ED-LEVEL DF Adj ss Adj MS F-Value P-Value 0.000 Error Total 86 Model Summary R-sq R-sq (adj) R-aq (pred) 59.914 57.574 Means 95 CI 6.02 ( 97,55, 105.34) (104.721, 108.612) 5.96 (114.65, 118.65) 5.17 ( 122.75, 131.00) ED-LEVEL Mean StDev 101.44 36 106.667 116.65 5.875 2 2. 3 126.88 Pooled StDev ? Fisher Pairwise Comparisona Fisher Individual Tests for Differences of Means Adjusted F-Value 0.019 0.000 0.000 0.000 0.000 0.000 SE of Difference Difference of Levels 1-0 2 -0 3-0 2 - 1 3-1 3-2 99.1667 CI ? (-0.69, 1.13) 7 (9.26, 21.15) ? (17.72, 33.14) ? ( 6.19, 13.77) ? (14.01, 26.41) 7( 3.99, 16.46) of Means Difterence 5.22 T-Values 15.20 25.43 9.98 20.21 10.23 Simultaneous confidence level - 95.931