The critical value of F when \( \mathrm{a}=0.01 \) is 5.390 , meaning the critical region consists of all F -ratios greater than 5.390 . The F -ratio is greater than this critical value, so you know that at least one difference exists among the treatments. Since more than two groups are involved, the psychologist is interested in determining which groups are different. The Scheffe test will be used to evaluate the pairs. Call the no sleep apnea group A, the untreated sleep apnea group B, and the treated sleep apnea group C.
Start with the calculations you will need to evaluate the difference between the no sleep apnea group (A) and the untreated sleep apnea group (B). The \( \mathrm{SS}_{\text {between } \mathrm{AB}} \) is . The \( \mathrm{F}_{\mathrm{A} \text { versus } \mathrm{B}} \) is
(Hint: Recall that you can use the
ior each treatment \( (\mathrm{n}=11) \) and the treatment mean to compute each treatment total \( (\mathrm{T}) \).
At \( a=0.01 \), the psychologist conclude that the population means for children without sleep apnea and children with untreated sleep apnea differ.
Next evaluate the difference between the no sleep apnea group (A) and the treated sleep apnea group (C). The \( \mathrm{SS}_{\text {between }} \mathrm{AC} \) is =. The \( F \) \( A \) versus \( C \) is
At \( a=0.01 \), the psychologist conclude that the population means for children without sleep apnea and children with treated sleep apnea differ.
Next calculate the values necessary to evaluate the difference between the untreated sleep apnea group (B) and the treated sleep apnea group (C). The \( \mathrm{SS}_{\text {between }} \mathrm{BC} \) is . The \( F_{B} \) versus \( C \) is
At \( a=0.01 \), the psychologist conclude that the population means for children with untreated sleep apnea and children with treated sleep apnea differ.
