16. A researcher wishes to test whether smoking status has an effect on body wei

Question

16. A researcher wishes to test whether smoking status has an effect on body weight. So the researcher collects some data and produces the following Minitab output. Find the value of ?1 (the missing F-value) One-way ANOVA: WEIGHT versus SMOKING STATUS DF SS MS Source SMOKING STATUS? Error Total 886 ?1 ? 88171 S= 30.00 R-Sq 1.01% R-Sq (adj ) =0.00% = Individual 95% CIs For Mean Based on Pooled StDev Level N 47147.06 23.48 (- 37 16 154.8139.18 2 144.0 152.0 160.0 168.0 Pooled StDev = 30.00 (a) 4.5876 (b) 1.3642 (c) .2817 (d) 0.4923 (e) 2.3871

Explanation / Answer

from above : df for smoking status =k-1=3-1=2

F =(SSR/df)/(pooled variance) =(886/2)/(30)2 =0.4923

option D is correct

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