35. Autism and Asperger's Syndrome. A study20 compared the IQ scores of children with autism and children with Asperger's syndrome. A sample of 85 children with autism had a mean IQ of 72.71 with a sample standard deviation of 15.08. A sample of 341 children with Asperger's syndrome had a mean IQ of 95.76 with a sample standard deviation of 16.56. Test whether the population standard deviations of the two groups differ, using . Assume that the samples are independent and that the two populations are normally distributed.
10.4.35
Critical-value method: and . Reject if or if . . Since is not ≤ 0.6623 and not ≥1.39, we do not reject . There is insufficient evidence at the level of significance that the population standard deviation of the IQ scores of children with autism differs from the population standard deviation of the IQ scores of children with Asperger's syndrome. method: . Reject if the . . . Since the is not ≤ 0.10, we do not reject . There is insufficient evidence at the level of significance that the population standard deviation of the IQ scores of children with autism differs from the population standard deviation of the IQ scores of children with Asperger's syndrome.