X is a normally distributed random variable with mean, µ but unknown variance, o Which of these statements is true about the sample mean, x of a random sample of size, n? s' is the sample variance estimate of o. X-u A. ntn-1 X-u В. ~N(0,1) S S /n /n ~tn-1 X-u D. ~N(H, o²) С.

Evaluate

Sleep apnea is a disorder characterized by pauses in breathing during sleep. Children who suffer from untreated sleep apnea often have behavior problems, including hyperactivity, inattention, and aggression. A common treatment for pediatric sleep apnea is the surgical removal of enlarged tonsils and adenoids that are obstructing the airways. Suppose researchers at a sleep clinic are interested in the effect of surgical treatment for pediatric sleep apnea on aggressive behavior. They study 11 children without sleep apnea, 11 children with untreated sleep apnea, and 11 children who have been surgically treated for sleep apnea. Aggression is measured using the Conners Rating Scales. The sample means and sums of squares of the scores for each of the three groups are presented in the following table. Group Sample Mean Sum of Squares No Sleep Apnea 0.59 0.3240 Untreated Sleep Apnea 0.45 0.4410 Treated Sleep Apnea 0.31 0.2250   The researchers perform an analysis of…