A dean in the business school claims that GMAT scores of applicants to the school's MBA program have SO increased during the past 5 years. Five years ago, the mean and standard deviation of GMAT scores of MBA applicants were 550 and 60, respectively. 30 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 590. Assume a is 0.02. P(Type II Error) =

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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 60, respectively. 30 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 590. Assume a is 0.02.
P(Type II Error) =
Transcribed Image Text: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 60, respectively. 30 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 590. Assume a is 0.02. P(Type II Error) =
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