In: Statistics and Probability
A college admissions officer for the school’s online undergraduate program wants to estimate the mean age of its graduating students. The administrator took a random sample of 40 from which the mean was 24 years and the standard deviation was 1.7 years.
If the mean age of online undergraduate students was 23 years of age, what is the probability that the sample of 40 would have produced a mean age of 24 or higher? Be sure to set up the two competing hypotheses and provide a statistical conclusion statement at a 5% level of significance for your results.