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4. Based on the performance of all individuals who tested

/in /by

4. Based on the performance of all individuals who tested between
2015 and 2017, the GMAT total scores are normally distributed with a mean of 561.27 and a standard deviation of 119.31. (https://www.gmac.com/gmat-other-assessments/accessing-gmat-exam-scores-and-reports/gmatscoring-by-exam-section-normal-view#tab5). Show all work. Just the answer, without supporting work, will receive no credit.

(a) For a sample of size 100, state the standard deviation of the sample mean (the “standard error of the mean”). (Round your answer to three decimal places)

(b) Suppose a sample of size 100 is taken. Find the probability that the sample mean GMAT total scores is more than 575. (Round your answer to three decimal places)

 
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