A dean in the business school claims that GMAT scores
of applicants to the school's MBA program have increased
during the past 5 years.
Five years ago, the mean and standard deviation of GMAT
scores of MBA applicants were 550 and 55, respectively.
23 applications
for this year's program were randomly selected and the GMAT
scores recorded. If we assume that the distribution of GMAT
scores of this
year's applicants is the same as that of 5 years ago, find the
probability of erroneously concluding that there is not enough evidence
to supports the claim when, in fact, the true mean GMAT score is 580.
Assume is 0.06.
P(Type II Error) =