The Texas Department of Health published the statewide results for the Emergency Medical Services Certification Examination. Data for those taking the paramedic exam for the first time gave an average score of 79.68 (out of a possible 100) with a standard deviation of 9.06. Suppose a random sample of 50 individuals taking the exam yielded a mean score of 81.05. Is there sufficient evidence to conclude that “the population from which this random sample was taken, on the average, scored higher than the state average”? Use a = 0.05